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121230203131323 = 321113210607683119
BaseRepresentation
bin11011100100001000011011…
…001100011001010110111011
3120220020111100022000012002100
4123210020123030121112323
5111342213424000200243
61105500215251234443
734351410306234516
oct3344103314312673
9526214308005070
10121230203131323
113569a493225960
121171b2858a8a23
135284c611bc100
1421d180499bd7d
15e03720be20d3
hex6e421b3195bb

121230203131323 has 72 divisors (see below), whose sum is σ = 206874137134080. Its totient is φ = 67814599394880.

The previous prime is 121230203131267. The next prime is 121230203131343. The reversal of 121230203131323 is 323131302032121.

121230203131323 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 3 + 0 + 20 + 313 + 1 + 323 = 666.

It is not a de Polignac number, because 121230203131323 - 26 = 121230203131259 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121230203131343) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 177124158 + ... + 177807276.

It is an arithmetic number, because the mean of its divisors is an integer number (2873251904640).

Almost surely, 2121230203131323 is an apocalyptic number.

121230203131323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

121230203131323 is a deficient number, since it is larger than the sum of its proper divisors (85643934002757).

121230203131323 is a wasteful number, since it uses less digits than its factorization.

121230203131323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693769 (or 693753 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 121230203131323 its reverse (323131302032121), we get a palindrome (444361505163444).

The spelling of 121230203131323 in words is "one hundred twenty-one trillion, two hundred thirty billion, two hundred three million, one hundred thirty-one thousand, three hundred twenty-three".

Divisors: 1 3 9 11 13 33 39 99 117 143 169 429 507 1287 1521 1859 5577 10607 16731 31821 95463 116677 137891 350031 413673 683119 1050093 1241019 1516801 1792583 2049357 4550403 5377749 6148071 7514309 8880547 13651209 16133247 19718413 22542927 26641641 59155239 67628781 79924923 97686017 115447111 177465717 293058051 346341333 879174153 1039023999 1269918221 3809754663 7245843233 11429263989 21737529699 65212589097 79704275563 94195962029 239112826689 282587886087 717338480067 847763658261 1036155582319 1224547506377 3108466746957 3673642519131 9325400240871 11020927557393 13470022570147 40410067710441 121230203131323