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31220312220 = 22335834611511
BaseRepresentation
bin11101000100111000…
…000010100010011100
32222120210112012001000
4131010320002202130
51002414344442340
622201543350300
72153445163266
oct350470024234
988523465030
1031220312220
1112271063729
126073752390
132c3714bb36
141722544b36
15c2ad27d30
hex744e0289c

31220312220 has 192 divisors, whose sum is σ = 98578529280. Its totient is φ = 8201836800.

The previous prime is 31220312191. The next prime is 31220312243. The reversal of 31220312220 is 2221302213.

31220312220 is a `hidden beast` number, since 312 + 20 + 312 + 2 + 20 = 666.

It is a super-2 number, since 2×312203122202 (a number of 22 digits) contains 22 as substring.

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 = 31220312193 and 31220312202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20661265 + ... + 20662775.

It is an arithmetic number, because the mean of its divisors is an integer number (513429840).

Almost surely, 231220312220 is an apocalyptic number.

31220312220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31220312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49289264640).

31220312220 is an abundant number, since it is smaller than the sum of its proper divisors (67358217060).

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

31220312220 is a wasteful number, since it uses less digits than its factorization.

31220312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31220312220 its reverse (2221302213), we get a palindrome (33441614433).

It can be divided in two parts, 312203 and 12220, that added together give a palindrome (324423).

The spelling of 31220312220 in words is "thirty-one billion, two hundred twenty million, three hundred twelve thousand, two hundred twenty".