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113300132304144 = 24329153158799043
BaseRepresentation
bin11001110000101110111110…
…001000111001010100010000
3112212011101110000200211110210
4121300232332020321110100
5104322302132332213034
61040545210124124120
732602443620334552
oct3160567610712420
9485141400624423
10113300132304144
1133112352a59235
121085a3a9096640
134b2b206174426
141dd9a817794d2
15d172e304b8e9
hex670bbe239510

113300132304144 has 160 divisors (see below), whose sum is σ = 303067652428800. Its totient is φ = 36430365565440.

The previous prime is 113300132304137. The next prime is 113300132304179. The reversal of 113300132304144 is 441403231003311.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12529038087 + ... + 12529047129.

It is an arithmetic number, because the mean of its divisors is an integer number (1894172827680).

Almost surely, 2113300132304144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113300132304144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151533826214400).

113300132304144 is an abundant number, since it is smaller than the sum of its proper divisors (189767520124656).

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

113300132304144 is a wasteful number, since it uses less digits than its factorization.

113300132304144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16493 (or 16487 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 113300132304144 its reverse (441403231003311), we get a palindrome (554703363307455).

The spelling of 113300132304144 in words is "one hundred thirteen trillion, three hundred billion, one hundred thirty-two million, three hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 1531 3062 4593 5879 6124 9043 9186 11758 12248 17637 18086 18372 23516 24496 27129 35274 36172 36744 44399 47032 54258 70548 72344 73488 88798 94064 108516 133197 141096 144688 170491 177596 217032 262247 266394 282192 340982 355192 434064 511473 524494 532788 681964 710384 786741 1022946 1048988 1065576 1363928 1573482 2045892 2097976 2131152 2727856 3146964 4091784 4195952 6293928 8183568 9000749 12587856 13844833 18001498 27002247 27689666 36002996 41534499 53163797 54004494 55379332 72005992 83068998 106327594 108008988 110758664 144011984 159491391 166137996 212655188 216017976 221517328 261021721 318982782 332275992 401500157 425310376 432035952 522043442 637965564 664551984 783065163 803000314 850620752 1044086884 1204500471 1275931128 1541750113 1566130326 1606000628 2088173768 2409000942 2551862256 3083500226 3132260652 3212001256 4176347536 4625250339 4818001884 6167000452 6264521304 6424002512 9250500678 9636003768 12334000904 12529042608 18501001356 19272007536 24668001808 37002002712 74004005424 81393773207 162787546414 244181319621 325575092828 488362639242 651150185656 976725278484 1302300371312 1953450556968 2360419423003 3906901113936 4720838846006 7081258269009 9441677692012 14162516538018 18883355384024 28325033076036 37766710768048 56650066152072 113300132304144