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113213101110564 = 223721319937431367
BaseRepresentation
bin11001101111011101111010…
…101011001111010100100100
3112211212001210200011010010210
4121233131322223033110210
5104314340412341014224
61040441214115415420
732563243120364400
oct3157357253172444
9484761720133123
10113213101110564
1133089452132374
121084555a5b4570
134b22c46434350
141dd5786c84100
15d14dec651429
hex66f77aacf524

113213101110564 has 144 divisors (see below), whose sum is σ = 331096694264448. Its totient is φ = 29843414641152.

The previous prime is 113213101110553. The next prime is 113213101110581. The reversal of 113213101110564 is 465011101312311.

It is a super-2 number, since 2×1132131011105642 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11518809 + ... + 18950175.

Almost surely, 2113213101110564 is an apocalyptic number.

113213101110564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113213101110564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165548347132224).

113213101110564 is an abundant number, since it is smaller than the sum of its proper divisors (217883593153884).

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

113213101110564 is a wasteful number, since it uses less digits than its factorization.

113213101110564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7433394 (or 7433385 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

Adding to 113213101110564 its reverse (465011101312311), we get a palindrome (578224202422875).

The spelling of 113213101110564 in words is "one hundred thirteen trillion, two hundred thirteen billion, one hundred one million, one hundred ten thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 1993 2548 3822 3986 5979 7644 7972 11958 13951 23916 25909 27902 41853 51818 55804 77727 83706 97657 103636 155454 167412 181363 195314 292971 310908 362726 390628 544089 585942 725452 1088178 1171884 1269541 2176356 2539082 3808623 5078164 7431367 7617246 14862734 15234492 22294101 29725468 44588202 52019569 89176404 96607771 104039138 156058707 193215542 208078276 289823313 312117414 364136983 386431084 579646626 624234828 676254397 728273966 1092410949 1159293252 1352508794 1456547932 2028763191 2184821898 2705017588 4057526382 4369643796 4733780779 8115052764 9467561558 14201342337 14810714431 18935123116 28402684674 29621428862 44432143293 56805369348 59242857724 88864286586 103675001017 177728573172 192539287603 207350002034 311025003051 385078575206 414700004068 577617862809 622050006102 725725007119 770157150412 1155235725618 1244100012204 1347775013221 1451450014238 2177175021357 2310471451236 2695550026442 2902900028476 4043325039663 4354350042714 5391100052884 8086650079326 8708700085428 9434425092547 16173300158652 18868850185094 28303275277641 37737700370188 56606550555282 113213101110564