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100333233113130 = 23252562143511717
BaseRepresentation
bin10110110100000010100110…
…101110000000100000101010
3111011020202121112012121211200
4112310002212232000200222
5101122324430134110010
6553220241224505030
730063560022646353
oct2664024656004052
9434222545177750
10100333233113130
1129a730a3457226
12b30530491b176
1343ca4ca100424
141aac223926d2a
15b8ed6e846cc0
hex5b40a6b8082a

100333233113130 has 48 divisors (see below), whose sum is σ = 260876593831464. Its totient is φ = 26754483934080.

The previous prime is 100333233113123. The next prime is 100333233113137. The reversal of 100333233113130 is 31311332333001.

100333233113130 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 3 + 32 + 3 + 311 + 313 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (100333233113123) and next prime (100333233113137).

It can be written as a sum of positive squares in 4 ways, for example, as 84855988016361 + 15477245096769 = 9211731^2 + 3934113^2 .

It is a super-2 number, since 2×1003332331131302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100333233113094 and 100333233113103.

It is not an unprimeable number, because it can be changed into a prime (100333233113137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19449969 + ... + 24061748.

Almost surely, 2100333233113130 is an apocalyptic number.

100333233113130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100333233113130 is an abundant number, since it is smaller than the sum of its proper divisors (160543360718334).

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

100333233113130 is a wasteful number, since it uses less digits than its factorization.

100333233113130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43537351 (or 43537348 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 100333233113130 its reverse (31311332333001), we get a palindrome (131644565446131).

The spelling of 100333233113130 in words is "one hundred trillion, three hundred thirty-three billion, two hundred thirty-three million, one hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 25621 51242 76863 128105 153726 230589 256210 384315 461178 768630 1152945 2305890 43511717 87023434 130535151 217558585 261070302 391605453 435117170 652675755 783210906 1305351510 1958027265 3916054530 1114813701257 2229627402514 3344441103771 5574068506285 6688882207542 10033323311313 11148137012570 16722205518855 20066646622626 33444411037710 50166616556565 100333233113130