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31111221132 = 22321078076641
BaseRepresentation
bin11100111110010111…
…111000111110001100
32222022012020210012100
4130332113320332030
51002203433034012
622143045235100
72150652005415
oct347627707614
988265223170
1031111221132
1112215522a02
126043102a90
132c1a6743b4
141711c6880c
15c214798dc
hex73e5f8f8c

31111221132 has 36 divisors (see below), whose sum is σ = 79377237576. Its totient is φ = 10273486080.

The previous prime is 31111221107. The next prime is 31111221179. The reversal of 31111221132 is 23112211113.

31111221132 is a `hidden beast` number, since 311 + 1 + 1 + 221 + 132 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×311112211322 (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 nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4034469 + ... + 4042172.

It is an arithmetic number, because the mean of its divisors is an integer number (2204923266).

Almost surely, 231111221132 is an apocalyptic number.

It is an amenable number.

31111221132 is an abundant number, since it is smaller than the sum of its proper divisors (48266016444).

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

31111221132 is a wasteful number, since it uses less digits than its factorization.

31111221132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8076758 (or 8076753 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 31111221132 its reverse (23112211113), we get a palindrome (54223432245).

The spelling of 31111221132 in words is "thirty-one billion, one hundred eleven million, two hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1926 3852 8076641 16153282 24229923 32306564 48459846 72689769 96919692 145379538 290759076 864200587 1728401174 2592601761 3456802348 5185203522 7777805283 10370407044 15555610566 31111221132