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101331300111120 = 243251012276138523
BaseRepresentation
bin10111000010100100001000…
…001001011101001100010000
3111021210011210112100101001200
4113002210020021131030100
5101240203000312023440
6555302542344231200
730225642036315132
oct2702441011351420
9437704715311050
10101331300111120
112a3183aa2360a2
12b44682746b500
134470667a7bba1
141b04665355052
15baacd6531c30
hex5c290825d310

101331300111120 has 240 divisors, whose sum is σ = 345187669200192. Its totient is φ = 26636274662400.

The previous prime is 101331300111091. The next prime is 101331300111131. The reversal of 101331300111120 is 21111003133101.

101331300111120 is a `hidden beast` number, since 1 + 0 + 1 + 331 + 300 + 1 + 1 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 101331300111093 and 101331300111102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13438179 + ... + 19576701.

Almost surely, 2101331300111120 is an apocalyptic number.

101331300111120 is a gapful number since it is divisible by the number (10) 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 101331300111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172593834600096).

101331300111120 is an abundant number, since it is smaller than the sum of its proper divisors (243856369089072).

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

101331300111120 is a wasteful number, since it uses less digits than its factorization.

101331300111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6138870 (or 6138861 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 101331300111120 its reverse (21111003133101), we get a palindrome (122442303244221).

The spelling of 101331300111120 in words is "one hundred one trillion, three hundred thirty-one billion, three hundred million, one hundred eleven thousand, one hundred twenty".