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113166305604 = 223411216992
BaseRepresentation
bin110100101100100111…
…1001100100101000100
3101211002202100222010000
41221121033030211010
53323231033234404
6123553214401300
711114236504062
oct1513117144504
9354082328100
10113166305604
1143aa247a400
1219b23200230
13a89649c011
14569791b032
152e2508c339
hex1a593cc944

113166305604 has 135 divisors (see below), whose sum is σ = 325369995951. Its totient is φ = 34272635760.

The previous prime is 113166305587. The next prime is 113166305621. The reversal of 113166305604 is 406503661311.

The square root of 113166305604 is 336402.

It is a perfect power (a square), and thus also a powerful number.

113166305604 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 66 + 30 + 560 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (113166305587) and next prime (113166305621).

It is a super-2 number, since 2×1131663056042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 66606747 + ... + 66608445.

Almost surely, 2113166305604 is an apocalyptic number.

113166305604 is the 336402-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113166305604

113166305604 is an abundant number, since it is smaller than the sum of its proper divisors (212203690347).

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

113166305604 is an equidigital number, since it uses as much as digits as its factorization.

113166305604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Multiplying 113166305604 by its sum of digits (36), we get a square (4073987001744 = 20184122).

113166305604 divided by its sum of digits (36) gives a square (3143508489 = 560672).

Adding to 113166305604 its reverse (406503661311), we get a palindrome (519669966915).

The spelling of 113166305604 in words is "one hundred thirteen billion, one hundred sixty-six million, three hundred five thousand, six hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1452 1699 1782 2178 3267 3398 3564 4356 5097 6534 6796 9801 10194 13068 15291 18689 19602 20388 30582 37378 39204 45873 56067 61164 74756 91746 112134 137619 168201 183492 205579 224268 275238 336402 411158 504603 550476 616737 672804 822316 1009206 1233474 1513809 1850211 2018412 2466948 2886601 3027618 3700422 5550633 5773202 6055236 7400844 8659803 11101266 11546404 16651899 17319606 22202532 25979409 31752611 33303798 34639212 51958818 63505222 66607596 77938227 95257833 103917636 127010444 155876454 190515666 233814681 285773499 311752908 349278721 381031332 467629362 571546998 698557442 857320497 935258724 1047836163 1143093996 1397114884 1714640994 2095672326 2571961491 3143508489 3429281988 4191344652 5143922982 6287016978 9430525467 10287845964 12574033956 18861050934 28291576401 37722101868 56583152802 113166305604