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1332012022131 = 3722916710131847
BaseRepresentation
bin10011011000100010000…
…110100111100101110011
311201100011012121200002110
4103120202012213211303
5133310430034202011
62455530132220403
7165143333243100
oct23304206474563
94640135550073
101332012022131
114739a307422a
121961a016a703
13987ba28597b
1448680cdbaa7
15249ae4d8ba6
hex136221a7973

1332012022131 has 96 divisors (see below), whose sum is σ = 2153303792640. Its totient is φ = 729386321664.

The previous prime is 1332012022079. The next prime is 1332012022169. The reversal of 1332012022131 is 1312202102331.

It is not a de Polignac number, because 1332012022131 - 210 = 1332012021107 is a prime.

It is a super-2 number, since 2×13320120221312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1332012022098 and 1332012022107.

It is not an unprimeable number, because it can be changed into a prime (1332012022031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 721175050 + ... + 721176896.

It is an arithmetic number, because the mean of its divisors is an integer number (22430247840).

Almost surely, 21332012022131 is an apocalyptic number.

1332012022131 is a deficient number, since it is larger than the sum of its proper divisors (821291770509).

1332012022131 is a wasteful number, since it uses less digits than its factorization.

1332012022131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1332012022131 its reverse (1312202102331), we get a palindrome (2644214124462).

The spelling of 1332012022131 in words is "one trillion, three hundred thirty-two billion, twelve million, twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 21 29 49 87 147 167 203 501 609 1013 1169 1421 1847 3039 3507 4263 4843 5541 7091 8183 12929 14529 21273 24549 29377 33901 38787 49637 53563 88131 90503 101703 148911 160689 169171 205639 237307 271509 308449 374941 507513 616917 711921 925347 1124823 1184197 1439473 1871011 2159143 2624587 3552591 4318419 4905959 5613033 6477429 7873761 8289379 8945021 13097077 14717877 15114001 24868137 26835063 34341713 39291231 45342003 54259319 62615147 91679539 103025139 162777957 187845441 240391991 275038617 312458837 379815233 438306029 721175973 937376511 1139445699 1314918087 2187211859 2658706631 6561635577 7976119893 9061306273 15310483013 27183918819 45931449039 63429143911 190287431733 444004007377 1332012022131