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1010131330 = 2513175961127
BaseRepresentation
bin111100001101010…
…110000110000010
32121101201222200111
4330031112012002
54032043200310
6244122341534
734013655205
oct7415260602
92541658614
101010131330
1147921368a
1224235a8aa
13131376760
149822793c
155da3328a
hex3c356182

1010131330 has 128 divisors (see below), whose sum is σ = 2159861760. Its totient is φ = 336752640.

The previous prime is 1010131327. The next prime is 1010131387. The reversal of 1010131330 is 331310101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1010131330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7953727 + ... + 7953853.

It is an arithmetic number, because the mean of its divisors is an integer number (16873920).

Almost surely, 21010131330 is an apocalyptic number.

1010131330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1010131330 is an abundant number, since it is smaller than the sum of its proper divisors (1149730430).

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

1010131330 is a wasteful number, since it uses less digits than its factorization.

1010131330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 1010131330 is about 31782.5633012820. The cubic root of 1010131330 is about 1003.3657688902.

Adding to 1010131330 its reverse (331310101), we get a palindrome (1341441431).

The spelling of 1010131330 in words is "one billion, ten million, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 59 61 65 85 118 122 127 130 170 221 254 295 305 442 590 610 635 767 793 1003 1037 1105 1270 1534 1586 1651 2006 2074 2159 2210 3302 3599 3835 3965 4318 5015 5185 7198 7493 7670 7747 7930 8255 10030 10370 10795 13039 13481 14986 15494 16510 17995 21590 26078 26962 28067 35990 37465 38735 46787 56134 61183 65195 67405 74930 77470 93574 97409 100711 122366 127381 130390 131699 134810 140335 194818 201422 233935 254762 263398 280670 305915 457073 467870 487045 503555 611830 636905 658495 795379 914146 974090 1007110 1273810 1316990 1590758 1655953 1712087 2285365 3311906 3424174 3976895 4570730 5941949 7770241 7953790 8279765 8560435 11883898 15540482 16559530 17120870 29709745 38851205 59419490 77702410 101013133 202026266 505065665 1010131330