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113038130694888 = 23337199375681751
BaseRepresentation
bin11001101100111010111101…
…101000000100101011101000
3112211020100011200110001112000
4121230322331220010223220
5104304004042424214023
61040225000024251000
732544510153366420
oct3154727550045350
9484210150401460
10113038130694888
1133021224974353
1210817669310a60
134b0c5b08093c9
141dcb10904b480
15d105ab795243
hex66cebda04ae8

113038130694888 has 128 divisors (see below), whose sum is σ = 360654481920000. Its totient is φ = 32134314168000.

The previous prime is 113038130694883. The next prime is 113038130694893. The reversal of 113038130694888 is 888496031830311.

113038130694888 is a `hidden beast` number, since 1 + 1 + 30 + 38 + 1 + 30 + 69 + 488 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (113038130694883) and next prime (113038130694893).

It is a super-3 number, since 3×1130381306948883 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (113038130694883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187539988 + ... + 188141763.

It is an arithmetic number, because the mean of its divisors is an integer number (2817613140000).

Almost surely, 2113038130694888 is an apocalyptic number.

113038130694888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

113038130694888 is an abundant number, since it is smaller than the sum of its proper divisors (247616351225112).

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

113038130694888 is a wasteful number, since it uses less digits than its factorization.

113038130694888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375681972 (or 375681962 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 113038130694888 in words is "one hundred thirteen trillion, thirty-eight billion, one hundred thirty million, six hundred ninety-four thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 199 216 252 378 398 504 597 756 796 1194 1393 1512 1592 1791 2388 2786 3582 4179 4776 5373 5572 7164 8358 10746 11144 12537 14328 16716 21492 25074 33432 37611 42984 50148 75222 100296 150444 300888 375681751 751363502 1127045253 1502727004 2254090506 2629772257 3005454008 3381135759 4508181012 5259544514 6762271518 7889316771 9016362024 10143407277 10519089028 13524543036 15778633542 20286814554 21038178056 23667950313 27049086072 31557267084 40573629108 47335900626 63114534168 71003850939 74760668449 81147258216 94671801252 142007701878 149521336898 189343602504 224282005347 284015403756 299042673796 448564010694 523324679143 568030807512 598085347592 672846016041 897128021388 1046649358286 1345692032082 1569974037429 1794256042776 2018538048123 2093298716572 2691384064164 3139948074858 4037076096246 4186597433144 4709922112287 5382768128328 6279896149716 8074152192492 9419844224574 12559792299432 14129766336861 16148304384984 18839688449148 28259532673722 37679376898296 56519065347444 113038130694888