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20311333112320 = 2957934114497
BaseRepresentation
bin1001001111001000110011…
…10010111000101000000000
32122220202002201122021211121
410213210121302320220000
510130240102234043240
6111110521515122024
74164305524560115
oct447443162705000
978822081567747
1020311333112320
116520a96032368
122340580443314
13b4447305c563
145031065c290c
1525352748404a
hex127919cb8a00

20311333112320 has 40 divisors (see below), whose sum is σ = 48699594788724. Its totient is φ = 8124533243904.

The previous prime is 20311333112299. The next prime is 20311333112321. The reversal of 20311333112320 is 2321133311302.

It can be written as a sum of positive squares in 2 ways, for example, as 18641531597056 + 1669801515264 = 4317584^2 + 1292208^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×203113331123203 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20311333112321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3967054689 + ... + 3967059808.

Almost surely, 220311333112320 is an apocalyptic number.

20311333112320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20311333112320 is an abundant number, since it is smaller than the sum of its proper divisors (28388261676404).

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

20311333112320 is an frugal number, since it uses more digits than its factorization.

20311333112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7934114520 (or 7934114504 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 20311333112320 its reverse (2321133311302), we get a palindrome (22632466423622).

The spelling of 20311333112320 in words is "twenty trillion, three hundred eleven billion, three hundred thirty-three million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 7934114497 15868228994 31736457988 39670572485 63472915976 79341144970 126945831952 158682289940 253891663904 317364579880 507783327808 634729159760 1015566655616 1269458319520 2031133311232 2538916639040 4062266622464 5077833278080 10155666556160 20311333112320