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31132300122 = 23271122461977
BaseRepresentation
bin11100111111101000…
…010011001101011010
32222100122220201010200
4130333220103031122
51002224332100442
622145121123030
72151326120250
oct347750231532
988318821120
1031132300122
111222640a960
12604a189476
132c21b44981
1417149945d0
15c2324034c
hex73fa1335a

31132300122 has 48 divisors (see below), whose sum is σ = 84097645632. Its totient is φ = 8086311360.

The previous prime is 31132300103. The next prime is 31132300127. The reversal of 31132300122 is 22100323113.

31132300122 is a `hidden beast` number, since 311 + 3 + 230 + 0 + 122 = 666.

It is a super-2 number, since 2×311323001222 (a number of 22 digits) contains 22 as substring.

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 = 31132300095 and 31132300104.

It is not an unprimeable number, because it can be changed into a prime (31132300127) 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, 11229603 + ... + 11232374.

It is an arithmetic number, because the mean of its divisors is an integer number (1752034284).

Almost surely, 231132300122 is an apocalyptic number.

31132300122 is an abundant number, since it is smaller than the sum of its proper divisors (52965345510).

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

31132300122 is a wasteful number, since it uses less digits than its factorization.

31132300122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22462003 (or 22462000 counting only the distinct ones).

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

Adding to 31132300122 its reverse (22100323113), we get a palindrome (53232623235).

The spelling of 31132300122 in words is "thirty-one billion, one hundred thirty-two million, three hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 22461977 44923954 67385931 134771862 157233839 202157793 247081747 314467678 404315586 471701517 494163494 741245241 943403034 1415104551 1482490482 1729572229 2223735723 2830209102 3459144458 4447471446 5188716687 10377433374 15566150061 31132300122