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303114102114032 = 24118335999757973
BaseRepresentation
bin100010011101011100100000…
…0011000100000011011110000
31110202020102110221110211020122
41010322321000120200123300
5304212210140120122112
62552400410212025412
7120563162006626556
oct10472710030403360
91422212427424218
10303114102114032
1188643a725252a0
1229bb5663602268
13100196ca257111
1454bcb2d647bd6
152509a60391872
hex113ae406206f0

303114102114032 has 160 divisors (see below), whose sum is σ = 650861427202560. Its totient is φ = 135601498229760.

The previous prime is 303114102114013. The next prime is 303114102114121. The reversal of 303114102114032 is 230411201411303.

It is a junction number, because it is equal to n+sod(n) for n = 303114102113992 and 303114102114010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5228510198 + ... + 5228568170.

It is an arithmetic number, because the mean of its divisors is an integer number (4067883920016).

Almost surely, 2303114102114032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303114102114032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325430713601280).

303114102114032 is an abundant number, since it is smaller than the sum of its proper divisors (347747325088528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

303114102114032 is a wasteful number, since it uses less digits than its factorization.

303114102114032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59431 (or 59425 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 303114102114032 its reverse (230411201411303), we get a palindrome (533525303525335).

The spelling of 303114102114032 in words is "three hundred three trillion, one hundred fourteen billion, one hundred two million, one hundred fourteen thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 83 88 166 176 332 359 664 718 913 997 1328 1436 1826 1994 2872 3652 3949 3988 5744 7304 7898 7976 10967 14608 15796 15952 21934 29797 31592 43868 57973 59594 63184 82751 87736 115946 119188 165502 175472 231892 238376 327767 331004 357923 463784 476752 637703 655534 662008 715846 910261 927568 1275406 1311068 1324016 1431692 1820522 2550812 2622136 2863384 3641044 3937153 4811759 5101624 5244272 5726768 7282088 7874306 9623518 10203248 14564176 15748612 19247036 20812307 29707609 31497224 38494072 41624614 52929349 57799081 59415218 62994448 76988144 83249228 105858698 115598162 118830436 166498456 211717396 228935377 231196324 237660872 326783699 332996912 423434792 457870754 462392648 475321744 635789891 653567398 846869584 915741508 924785296 1271579782 1307134796 1727421481 1831483016 2543159564 2614269592 3454842962 3662966032 4797323723 5086319128 5228539184 6909685924 9594647446 10172638256 13819371848 19001636291 19189294892 20749870079 27638743696 38003272582 38378589784 41499740158 52770560953 76006545164 76757179568 82999480316 105541121906 152013090328 165998960632 211082243812 228248570869 304026180656 331997921264 422164487624 456497141738 844328975248 912994283476 1722239216557 1825988566952 3444478433114 3651977133904 6888956866228 13777913732456 18944631382127 27555827464912 37889262764254 75778525528508 151557051057016 303114102114032