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31122212120 = 2351756381293
BaseRepresentation
bin11100111111000001…
…110100010100011000
32222022221221011222222
4130333001310110120
51002214241241440
622144121003212
72151144303206
oct347701642430
988287834888
1031122212120
111222074a66a
126046923508
132c1ca2203c
1417134ca076
15c223eb2b5
hex73f074518

31122212120 has 64 divisors (see below), whose sum is σ = 74276701920. Its totient is φ = 11695642624.

The previous prime is 31122212117. The next prime is 31122212161. The reversal of 31122212120 is 2121222113.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342194 + ... + 423486.

Almost surely, 231122212120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31122212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37138350960).

31122212120 is an abundant number, since it is smaller than the sum of its proper divisors (43154489800).

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

31122212120 is a wasteful number, since it uses less digits than its factorization.

31122212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81884 (or 81880 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 31122212120 its reverse (2121222113), we get a palindrome (33243434233).

The spelling of 31122212120 in words is "thirty-one billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 563 680 1126 2252 2815 4504 5630 9571 11260 19142 22520 38284 47855 76568 81293 95710 162586 191420 325172 382840 406465 650344 812930 1381981 1625860 2763962 3251720 5527924 6909905 11055848 13819810 27639620 45767959 55279240 91535918 183071836 228839795 366143672 457679590 778055303 915359180 1556110606 1830718360 3112221212 3890276515 6224442424 7780553030 15561106060 31122212120