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31131122220 = 223251115722789
BaseRepresentation
bin11100111111100011…
…110011101000101100
32222100120200212100200
4130333203303220230
51002224031402340
622145035553500
72151313113162
oct347743635054
988316625320
1031131122220
1112225785990
1260498bb890
132c218217a3
141714769232
15c230ab330
hex73f8f3a2c

31131122220 has 72 divisors (see below), whose sum is σ = 103015720080. Its totient is φ = 7546938240.

The previous prime is 31131122189. The next prime is 31131122227. The reversal of 31131122220 is 2222113113.

31131122220 is a `hidden beast` number, since 311 + 311 + 2 + 22 + 20 = 666.

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 = 31131122193 and 31131122202.

It is not an unprimeable number, because it can be changed into a prime (31131122227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7859415 + ... + 7863374.

It is an arithmetic number, because the mean of its divisors is an integer number (1430773890).

Almost surely, 231131122220 is an apocalyptic number.

31131122220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31131122220 is an abundant number, since it is smaller than the sum of its proper divisors (71884597860).

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

31131122220 is a wasteful number, since it uses less digits than its factorization.

31131122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15722815 (or 15722810 counting only the distinct ones).

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

Adding to 31131122220 its reverse (2222113113), we get a palindrome (33353235333).

It can be divided in two parts, 31131 and 122220, that added together give a palindrome (153351).

The spelling of 31131122220 in words is "thirty-one billion, one hundred thirty-one million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 15722789 31445578 47168367 62891156 78613945 94336734 141505101 157227890 172950679 188673468 235841835 283010202 314455780 345901358 471683670 518852037 566020404 691802716 707525505 864753395 943367340 1037704074 1415051010 1556556111 1729506790 2075408148 2594260185 2830102020 3113112222 3459013580 5188520370 6226224444 7782780555 10377040740 15565561110 31131122220