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31301122212 = 22323723499341
BaseRepresentation
bin11101001001101100…
…010011100010100100
32222210102120202111200
4131021230103202210
51003101041402322
622213551402500
72155446102033
oct351154234244
988712522450
1031301122212
1112302738448
126096823430
132c4ab03ab9
14172d17c71a
15c32e8b8ac
hex749b138a4

31301122212 has 36 divisors (see below), whose sum is σ = 81260724636. Its totient is φ = 10151714880.

The previous prime is 31301122207. The next prime is 31301122213. The reversal of 31301122212 is 21222110313.

31301122212 is a `hidden beast` number, since 31 + 301 + 122 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30173774436 + 1127347776 = 173706^2 + 33576^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (31301122213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11748339 + ... + 11751002.

It is an arithmetic number, because the mean of its divisors is an integer number (2257242351).

Almost surely, 231301122212 is an apocalyptic number.

It is an amenable number.

31301122212 is an abundant number, since it is smaller than the sum of its proper divisors (49959602424).

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

31301122212 is a wasteful number, since it uses less digits than its factorization.

31301122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23499388 (or 23499383 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31301122212 its reverse (21222110313), we get a palindrome (52523232525).

The spelling of 31301122212 in words is "thirty-one billion, three hundred one million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 23499341 46998682 70498023 93997364 140996046 211494069 281992092 422988138 845976276 869475617 1738951234 2608426851 3477902468 5216853702 7825280553 10433707404 15650561106 31301122212