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221311021320 = 23325614752837
BaseRepresentation
bin1100111000011100101…
…0100011000100001000
3210011020112201201220100
43032013022203010020
512111221110140240
6245400251125400
721663202433334
oct3160712430410
9704215651810
10221311021320
1185948335a14
1236a84743860
1317b3c4c046c
14a9d65567c4
155b5435ae30
hex33872a3108

221311021320 has 48 divisors (see below), whose sum is σ = 719260820460. Its totient is φ = 59016272256.

The previous prime is 221311021297. The next prime is 221311021357. The reversal of 221311021320 is 23120113122.

221311021320 is a `hidden beast` number, since 2 + 213 + 110 + 21 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 188323017444 + 32988003876 = 433962^2 + 181626^2 .

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 = 221311021293 and 221311021302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307376059 + ... + 307376778.

Almost surely, 2221311021320 is an apocalyptic number.

221311021320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221311021320 is an abundant number, since it is smaller than the sum of its proper divisors (497949799140).

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

221311021320 is a wasteful number, since it uses less digits than its factorization.

221311021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614752854 (or 614752847 counting only the distinct ones).

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

Adding to 221311021320 its reverse (23120113122), we get a palindrome (244431134442).

The spelling of 221311021320 in words is "two hundred twenty-one billion, three hundred eleven million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 614752837 1229505674 1844258511 2459011348 3073764185 3688517022 4918022696 5532775533 6147528370 7377034044 9221292555 11065551066 12295056740 14754068088 18442585110 22131102132 24590113480 27663877665 36885170220 44262204264 55327755330 73770340440 110655510660 221311021320