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102311032032 = 253211311041779
BaseRepresentation
bin101111101001000110…
…1100111010011100000
3100210002020020221012200
41133102031213103200
53134013111011112
6115000120253200
710251235265136
oct1372215472340
9323066227180
10102311032032
113a431a01730
12179b3911200
139856548111
144d47d61756
1529dc089cdc
hex17d23674e0

102311032032 has 144 divisors (see below), whose sum is σ = 327635642880. Its totient is φ = 30003206400.

The previous prime is 102311031971. The next prime is 102311032081. The reversal of 102311032032 is 230230113201.

102311032032 is a `hidden beast` number, since 1 + 0 + 2 + 311 + 0 + 320 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102311031996 and 102311032014.

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 23 ways as a sum of consecutive naturals, for example, 422682 + ... + 619097.

It is an arithmetic number, because the mean of its divisors is an integer number (2275247520).

Almost surely, 2102311032032 is an apocalyptic number.

102311032032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102311032032 is an abundant number, since it is smaller than the sum of its proper divisors (225324610848).

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

102311032032 is a wasteful number, since it uses less digits than its factorization.

102311032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041837 (or 1041826 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102311032032 its reverse (230230113201), we get a palindrome (332541145233).

The spelling of 102311032032 in words is "one hundred two billion, three hundred eleven million, thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 44 48 62 66 72 88 93 96 99 124 132 144 176 186 198 248 264 279 288 341 352 372 396 496 528 558 682 744 792 992 1023 1056 1116 1364 1488 1584 2046 2232 2728 2976 3069 3168 4092 4464 5456 6138 8184 8928 10912 12276 16368 24552 32736 49104 98208 1041779 2083558 3125337 4167116 6250674 8334232 9376011 11459569 12501348 16668464 18752022 22919138 25002696 32295149 33336928 34378707 37504044 45838276 50005392 64590298 68757414 75008088 91676552 96885447 100010784 103136121 129180596 137514828 150016176 183353104 193770894 206272242 258361192 275029656 290656341 300032352 355246639 366706208 387541788 412544484 516722384 550059312 581312682 710493278 775083576 825088968 1033444768 1065739917 1100118624 1162625364 1420986556 1550167152 1650177936 2131479834 2325250728 2841973112 3100334304 3197219751 3300355872 4262959668 4650501456 5683946224 6394439502 8525919336 9301002912 11367892448 12788879004 17051838672 25577758008 34103677344 51155516016 102311032032