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103031079691648 = 274371502352489
BaseRepresentation
bin10111011011010011001010…
…111001111110010110000000
3111111210200020002111201121111
4113123103022321332112000
5102001030122400113043
61003043454035533104
730462515126336263
oct2733231271762600
9444720202451544
10103031079691648
112a913265520229
12b68014415a194
134564a3492b024
141b62a336c6cda
15bda11c81109d
hex5db4cae7e580

103031079691648 has 128 divisors (see below), whose sum is σ = 213035292518400. Its totient is φ = 49597985525760.

The previous prime is 103031079691621. The next prime is 103031079691663. The reversal of 103031079691648 is 846196970130301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 103031079691592 and 103031079691601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1962881788 + ... + 1962934276.

It is an arithmetic number, because the mean of its divisors is an integer number (1664338222800).

Almost surely, 2103031079691648 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 103031079691648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106517646259200).

103031079691648 is an abundant number, since it is smaller than the sum of its proper divisors (110004212826752).

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

103031079691648 is an equidigital number, since it uses as much as digits as its factorization.

103031079691648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57640 (or 57628 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 58.

The spelling of 103031079691648 in words is "one hundred three trillion, thirty-one billion, seventy-nine million, six hundred ninety-one thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 43 64 71 86 128 142 172 284 344 568 688 1136 1376 2272 2752 3053 4544 5023 5504 6106 9088 10046 12212 20092 24424 40184 48848 52489 80368 97696 104978 160736 195392 209956 215989 321472 356633 390784 419912 431978 642944 713266 839824 863956 1426532 1679648 1727912 2257027 2853064 3359296 3455824 3726719 4514054 5706128 6718592 6911648 7453438 9028108 11412256 13823296 14906876 15335219 18056216 22824512 27646592 29813752 30670438 36112432 45649024 59627504 61340876 72224864 119255008 122681752 144449728 160248917 238510016 245363504 263652247 288899456 320497834 477020032 490727008 527304494 640995668 981454016 1054608988 1281991336 1962908032 2109217976 2563982672 4218435952 5127965344 8436871904 10255930688 11337046621 16873743808 18719309537 20511861376 22674093242 33747487616 37438619074 45348186484 74877238148 90696372968 149754476296 181392745936 299508952592 362785491872 599017905184 725570983744 804930310091 1198035810368 1451141967488 1609860620182 2396071620736 3219721240364 6439442480728 12878884961456 25757769922912 51515539845824 103031079691648