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3122113320 = 2332529299053
BaseRepresentation
bin1011101000010111…
…1010101100101000
322001120210210022200
42322011322230220
522343230111240
61233445420200
7140240345124
oct27205725450
98046723280
103122113320
111362395a47
1273170a660
133a9a9b341
14218912584
15134165930
hexba17ab28

3122113320 has 96 divisors (see below), whose sum is σ = 10496795400. Its totient is φ = 803851776.

The previous prime is 3122113301. The next prime is 3122113331. The reversal of 3122113320 is 233112213.

3122113320 is a `hidden beast` number, since 312 + 21 + 1 + 332 + 0 = 666.

3122113320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2731734756 + 390378564 = 52266^2 + 19758^2 .

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 = 3122113293 and 3122113302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139087 + ... + 159966.

Almost surely, 23122113320 is an apocalyptic number.

3122113320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3122113320 is an abundant number, since it is smaller than the sum of its proper divisors (7374682080).

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

3122113320 is a wasteful number, since it uses less digits than its factorization.

3122113320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299099 (or 299092 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3122113320 is about 55875.8742213489. The cubic root of 3122113320 is about 1461.5585595674.

Adding to 3122113320 its reverse (233112213), we get a palindrome (3355225533).

The spelling of 3122113320 in words is "three billion, one hundred twenty-two million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 5220 10440 299053 598106 897159 1196212 1495265 1794318 2392424 2691477 2990530 3588636 4485795 5382954 5981060 7177272 8672537 8971590 10765908 11962120 13457385 17345074 17943180 21531816 26017611 26914770 34690148 35886360 43362685 52035222 53829540 69380296 78052833 86725370 104070444 107659080 130088055 156105666 173450740 208140888 260176110 312211332 346901480 390264165 520352220 624422664 780528330 1040704440 1561056660 3122113320