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20311312032 = 2533112137133
BaseRepresentation
bin10010111010101001…
…100000011010100000
31221102112022120002000
4102322221200122200
5313044143441112
613155245524000
71316222206104
oct227251403240
957375276060
1020311312032
11868322a3a0
123b2a273600
131bb903653b
14da97a1904
157dd2617dc
hex4baa606a0

20311312032 has 96 divisors (see below), whose sum is σ = 64626932160. Its totient is φ = 6154940160.

The previous prime is 20311312027. The next prime is 20311312103. The reversal of 20311312032 is 23021311302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×203113120322 (a number of 21 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 = 20311311996 and 20311312014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1059063 + ... + 1078070.

It is an arithmetic number, because the mean of its divisors is an integer number (673197210).

Almost surely, 220311312032 is an apocalyptic number.

20311312032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20311312032 is an abundant number, since it is smaller than the sum of its proper divisors (44315620128).

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

20311312032 is a wasteful number, since it uses less digits than its factorization.

20311312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137163 (or 2137149 counting only the distinct ones).

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

Adding to 20311312032 its reverse (23021311302), we get a palindrome (43332623334).

The spelling of 20311312032 in words is "twenty billion, three hundred eleven million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 2137133 4274266 6411399 8548532 12822798 17097064 19234197 23508463 25645596 34194128 38468394 47016926 51291192 57702591 68388256 70525389 76936788 94033852 102582384 115405182 141050778 153873576 188067704 205164768 211576167 230810364 282101556 307747152 376135408 423152334 461620728 564203112 615494304 634728501 752270816 846304668 923241456 1128406224 1269457002 1692609336 1846482912 2256812448 2538914004 3385218672 5077828008 6770437344 10155656016 20311312032