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12322131020331 = 31173101129739047
BaseRepresentation
bin1011001101001111100000…
…1111100000101000101011
31121121222120111102110010020
42303103320033200220223
53103341211020122311
642112413035451523
72411146615344126
oct263237017405053
947558514373106
1012322131020331
113a208717a6250
1214701408b6ba3
136b4c835554a2
143085740493bd
151657d848dc06
hexb34f83e0a2b

12322131020331 has 64 divisors (see below), whose sum is σ = 18363126076416. Its totient is φ = 7286920704000.

The previous prime is 12322131020327. The next prime is 12322131020357. The reversal of 12322131020331 is 13302013122321.

12322131020331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12322131020331 - 22 = 12322131020327 is a prime.

It is a super-2 number, since 2×123221310203312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12322131020321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 315552250 + ... + 315591296.

It is an arithmetic number, because the mean of its divisors is an integer number (286923844944).

Almost surely, 212322131020331 is an apocalyptic number.

12322131020331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12322131020331 is a deficient number, since it is larger than the sum of its proper divisors (6040995056085).

12322131020331 is a wasteful number, since it uses less digits than its factorization.

12322131020331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40532.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12322131020331 its reverse (13302013122321), we get a palindrome (25624144142652).

The spelling of 12322131020331 in words is "twelve trillion, three hundred twenty-two billion, one hundred thirty-one million, twenty thousand, three hundred thirty-one".

Divisors: 1 3 11 33 73 101 219 303 803 1111 1297 2409 3333 3891 7373 14267 22119 39047 42801 81103 94681 117141 130997 243309 284043 392991 429517 1041491 1288551 1440967 2850431 3124473 3943747 4322901 8551293 9562781 11831241 28688343 31354741 43381217 50643959 94064223 105190591 130143651 151931877 287893531 315571773 557083549 863680593 1671250647 3166828841 3697009007 5115039859 9500486523 11091027021 15345119577 40667099077 56265438449 122001297231 168796315347 373397909707 1120193729121 4107377006777 12322131020331