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113153200203366 = 232174311801476381
BaseRepresentation
bin11001101110100110001000…
…010011011010011001100110
3112211122100012002000202011100
4121232212020103122121212
5104312400223223001431
61040353510151220530
732556022533153111
oct3156461023323146
9484570162022140
10113153200203366
1133066003687194
1210835a21977746
134b1a3bb390a6b
141dd2903627578
15d135939744e6
hex66e9884da666

113153200203366 has 96 divisors (see below), whose sum is σ = 260334058548096. Its totient is φ = 35396939520000.

The previous prime is 113153200203347. The next prime is 113153200203391. The reversal of 113153200203366 is 663302002351311.

113153200203366 is a `hidden beast` number, since 1 + 1 + 31 + 532 + 0 + 0 + 2 + 0 + 33 + 66 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 113153200203366.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237288496 + ... + 237764876.

It is an arithmetic number, because the mean of its divisors is an integer number (2711813109876).

Almost surely, 2113153200203366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113153200203366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130167029274048).

113153200203366 is an abundant number, since it is smaller than the sum of its proper divisors (147180858344730).

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

113153200203366 is a wasteful number, since it uses less digits than its factorization.

113153200203366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478638 (or 478635 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Adding to 113153200203366 its reverse (663302002351311), we get a palindrome (776455202554677).

The spelling of 113153200203366 in words is "one hundred thirteen trillion, one hundred fifty-three billion, two hundred million, two hundred three thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 431 862 1293 1801 2586 3602 3879 5403 7327 7758 10806 14654 16209 21981 30617 32418 43962 61234 65943 91851 131886 183702 275553 476381 551106 776231 952762 1429143 1552462 2328693 2858286 4287429 4657386 6986079 8098477 8574858 13195927 13972158 16196954 24295431 26391854 39587781 48590862 72886293 79175562 118763343 145772586 205320211 237526686 410640422 615960633 857962181 1231921266 1715924362 1847881899 2573886543 3490443587 3695763798 5147773086 6980887174 7721659629 10471330761 14585357077 15443319258 20942661522 29170714154 31413992283 43756071231 62827984566 87512142462 131268213693 262536427386 369781700011 739563400022 1109345100033 2218690200066 3328035300099 6286288900187 6656070600198 12572577800374 18858866700561 37717733401122 56576600101683 113153200203366