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2131111111122 = 232726962875763
BaseRepresentation
bin11111000000110000000…
…111101110100111010010
321112201202210112101111200
4133000300013232213102
5234404003421023442
64311004031052030
7306652630363320
oct37006007564722
97481683471450
102131111111122
11751887734174
122a5034971016
13125c696aa0b6
147520974ad10
153a67d66e34c
hex1f0301ee9d2

2131111111122 has 48 divisors (see below), whose sum is σ = 5296654359360. Its totient is φ = 606625351776.

The previous prime is 2131111111121. The next prime is 2131111111133. The reversal of 2131111111122 is 2211111111312.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2131111111095 and 2131111111104.

It is not an unprimeable number, because it can be changed into a prime (2131111111121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31403988 + ... + 31471775.

It is an arithmetic number, because the mean of its divisors is an integer number (110346965820).

Almost surely, 22131111111122 is an apocalyptic number.

2131111111122 is an abundant number, since it is smaller than the sum of its proper divisors (3165543248238).

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

2131111111122 is a wasteful number, since it uses less digits than its factorization.

2131111111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62876047 (or 62876044 counting only the distinct ones).

The product of its digits is 24, while the sum is 18.

Adding to 2131111111122 its reverse (2211111111312), we get a palindrome (4342222222434).

The spelling of 2131111111122 in words is "two trillion, one hundred thirty-one billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 269 538 807 1614 1883 2421 3766 4842 5649 11298 16947 33894 62875763 125751526 188627289 377254578 440130341 565881867 880260682 1131763734 1320391023 2640782046 3961173069 7922346138 16913580247 33827160494 50740740741 101481481482 118395061729 152222222223 236790123458 304444444446 355185185187 710370370374 1065555555561 2131111111122