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1110311020032 = 2935922354941
BaseRepresentation
bin10000001010000011101…
…100011010011000000000
310221010220111001212010120
4100022003230122120000
5121142404110120112
62210023030300240
7143134353644304
oct20120354323000
93833814055116
101110311020032
11398975696a55
1215b228ab7680
1380918051466
143ba4ca6bd04
151dd35ce7e8c
hex10283b1a600

1110311020032 has 160 divisors (see below), whose sum is σ = 3021616604160. Its totient is φ = 362192609280.

The previous prime is 1110311020001. The next prime is 1110311020069. The reversal of 1110311020032 is 2300201130111.

It is a happy number.

It is a super-2 number, since 2×11103110200322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1110311019993 and 1110311020020.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 20181682 + ... + 20236622.

It is an arithmetic number, because the mean of its divisors is an integer number (18885103776).

Almost surely, 21110311020032 is an apocalyptic number.

1110311020032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110311020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510808302080).

1110311020032 is an abundant number, since it is smaller than the sum of its proper divisors (1911305584128).

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

1110311020032 is an equidigital number, since it uses as much as digits as its factorization.

1110311020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55244 (or 55228 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1110311020032 its reverse (2300201130111), we get a palindrome (3410512150143).

The spelling of 1110311020032 in words is "one trillion, one hundred ten billion, three hundred eleven million, twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 223 236 256 354 384 446 472 512 669 708 768 892 944 1338 1416 1536 1784 1888 2676 2832 3568 3776 5352 5664 7136 7552 10704 11328 13157 14272 15104 21408 22656 26314 28544 30208 39471 42816 45312 52628 54941 57088 78942 85632 90624 105256 109882 114176 157884 164823 171264 210512 219764 315768 329646 342528 421024 439528 631536 659292 842048 879056 1263072 1318584 1684096 1758112 2526144 2637168 3241519 3368192 3516224 5052288 5274336 6483038 6736384 7032448 9724557 10104576 10548672 12251843 12966076 14064896 19449114 20209152 21097344 24503686 25932152 28129792 36755529 38898228 42194688 49007372 51864304 73511058 77796456 84389376 98014744 103728608 147022116 155592912 196029488 207457216 294044232 311185824 392058976 414914432 588088464 622371648 722858737 784117952 829828864 1176176928 1244743296 1445717474 1568235904 1659657728 2168576211 2352353856 2489486592 2891434948 3136471808 4337152422 4704707712 4978973184 5782869896 6272943616 8674304844 9409415424 11565739792 17348609688 18818830848 23131479584 34697219376 46262959168 69394438752 92525918336 138788877504 185051836672 277577755008 370103673344 555155510016 1110311020032