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31231021122 = 234723934369
BaseRepresentation
bin11101000101100000…
…111001000001000010
32222121112200020220000
4131011200321001002
51002430120133442
622203005100430
72153635204500
oct350540710102
988545606800
1031231021122
1112277108464
126077257716
132c3942b272
141723b31670
15c2bc40d4c
hex745839042

31231021122 has 60 divisors (see below), whose sum is σ = 81406049670. Its totient is φ = 8923146624.

The previous prime is 31231021103. The next prime is 31231021139. The reversal of 31231021122 is 22112013213.

31231021122 is a `hidden beast` number, since 312 + 310 + 21 + 1 + 22 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29213304561 + 2017716561 = 170919^2 + 44919^2 .

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 = 31231021095 and 31231021104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1959247 + ... + 1975122.

Almost surely, 231231021122 is an apocalyptic number.

31231021122 is an abundant number, since it is smaller than the sum of its proper divisors (50175028548).

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

31231021122 is a wasteful number, since it uses less digits than its factorization.

31231021122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3934397 (or 3934381 counting only the distinct ones).

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

Adding to 31231021122 its reverse (22112013213), we get a palindrome (53343034335).

The spelling of 31231021122 in words is "thirty-one billion, two hundred thirty-one million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 7938 3934369 7868738 11803107 23606214 27540583 35409321 55081166 70818642 82621749 106227963 165243498 192784081 212455926 247865247 318683889 385568162 495730494 578352243 637367778 743595741 1156704486 1487191482 1735056729 2230787223 3470113458 4461574446 5205170187 10410340374 15615510561 31231021122