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20311122312 = 23321329748273
BaseRepresentation
bin10010111010101000…
…110010000110001000
31221102111221220211100
4102322220302012020
5313044121403222
613155241501400
71316220456015
oct227250620610
957374856740
1020311122312
11868310a8a8
123b2a1a1860
131bb8c9b090
14da975270c
157dd2254ac
hex4baa32188

20311122312 has 96 divisors (see below), whose sum is σ = 61283640600. Its totient is φ = 6034065408.

The previous prime is 20311122301. The next prime is 20311122343. The reversal of 20311122312 is 21322111302.

20311122312 is a `hidden beast` number, since 20 + 311 + 1 + 22 + 312 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9957245796 + 10353876516 = 99786^2 + 101754^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 346993 + ... + 401280.

Almost surely, 220311122312 is an apocalyptic number.

It is an amenable number.

20311122312 is an abundant number, since it is smaller than the sum of its proper divisors (40972518288).

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

20311122312 is a wasteful number, since it uses less digits than its factorization.

20311122312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748327 (or 748320 counting only the distinct ones).

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

Adding to 20311122312 its reverse (21322111302), we get a palindrome (41633233614).

The spelling of 20311122312 in words is "twenty billion, three hundred eleven million, one hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 29 36 39 52 58 72 78 87 104 116 117 156 174 232 234 261 312 348 377 468 522 696 754 936 1044 1131 1508 2088 2262 3016 3393 4524 6786 9048 13572 27144 748273 1496546 2244819 2993092 4489638 5986184 6734457 8979276 9727549 13468914 17958552 19455098 21699917 26937828 29182647 38910196 43399834 53875656 58365294 65099751 77820392 86799668 87547941 116730588 130199502 173599336 175095882 195299253 233461176 260399004 282098921 350191764 390598506 520798008 564197842 700383528 781197012 846296763 1128395684 1562394024 1692593526 2256791368 2538890289 3385187052 5077780578 6770374104 10155561156 20311122312