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101331300331320 = 23352813005080081
BaseRepresentation
bin10111000010100100001000…
…001010010010111100111000
3111021210011210112202120010020
4113002210020022102330320
5101240203000341100240
6555302542353050440
730225642041223123
oct2702441012227470
9437704715676106
10101331300331320
112a3183aa376584
12b446827556a20
134470667b28197
141b046653b13ba
15baacd65770d0
hex5c2908292f38

101331300331320 has 64 divisors (see below), whose sum is σ = 305075729924640. Its totient is φ = 26925517516800.

The previous prime is 101331300331291. The next prime is 101331300331369. The reversal of 101331300331320 is 23133003133101.

It is a super-3 number, since 3×1013313003313203 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 1502506321 + ... + 1502573760.

Almost surely, 2101331300331320 is an apocalyptic number.

101331300331320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101331300331320 is an abundant number, since it is smaller than the sum of its proper divisors (203744429593320).

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

101331300331320 is a wasteful number, since it uses less digits than its factorization.

101331300331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005080376 (or 3005080372 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 101331300331320 its reverse (23133003133101), we get a palindrome (124464303464421).

The spelling of 101331300331320 in words is "one hundred one trillion, three hundred thirty-one billion, three hundred million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 281 562 843 1124 1405 1686 2248 2810 3372 4215 5620 6744 8430 11240 16860 33720 3005080081 6010160162 9015240243 12020320324 15025400405 18030480486 24040640648 30050800810 36060960972 45076201215 60101601620 72121921944 90152402430 120203203240 180304804860 360609609720 844427502761 1688855005522 2533282508283 3377710011044 4222137513805 5066565016566 6755420022088 8444275027610 10133130033132 12666412541415 16888550055220 20266260066264 25332825082830 33777100110440 50665650165660 101331300331320