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31120311220 = 22529127742017
BaseRepresentation
bin11100111110111010…
…100100001110110100
32222022211100121110021
4130332322210032310
51002213244424340
622144012134524
72151122165215
oct347672441664
988284317407
1031120311220
111221a671479
126046167444
132c1c507a4b
14171315340c
15c22172e4a
hex73eea43b4

31120311220 has 48 divisors (see below), whose sum is σ = 67660745040. Its totient is φ = 12009181184.

The previous prime is 31120311203. The next prime is 31120311227. The reversal of 31120311220 is 2211302113.

It can be written as a sum of positive squares in 8 ways, for example, as 1084648356 + 30035662864 = 32934^2 + 173308^2 .

It is a super-3 number, since 3×311203112203 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31120311194 and 31120311203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31120311227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 719652 + ... + 761668.

It is an arithmetic number, because the mean of its divisors is an integer number (1409598855).

Almost surely, 231120311220 is an apocalyptic number.

It is an amenable number.

31120311220 is an abundant number, since it is smaller than the sum of its proper divisors (36540433820).

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

31120311220 is a wasteful number, since it uses less digits than its factorization.

31120311220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43332 (or 43330 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 31120311220 its reverse (2211302113), we get a palindrome (33331613333).

The spelling of 31120311220 in words is "thirty-one billion, one hundred twenty million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1277 2554 5108 6385 12770 25540 37033 42017 74066 84034 148132 168068 185165 210085 370330 420170 740660 840340 1218493 2436986 4873972 6092465 12184930 24369860 53655709 107311418 214622836 268278545 536557090 1073114180 1556015561 3112031122 6224062244 7780077805 15560155610 31120311220