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113200320096 = 2534192298577
BaseRepresentation
bin110100101101101000…
…0111100111001100000
3101211012010101002020000
41221123100330321200
53323313240220341
6124000431420000
711115131562513
oct1513320747140
9354163332200
10113200320096
114400a6a1a56
1219b32684600
13a8a054b336
14569c252d7a
152e2805a8b6
hex1a5b43ce60

113200320096 has 120 divisors (see below), whose sum is σ = 350441201880. Its totient is φ = 35747453952.

The previous prime is 113200320091. The next prime is 113200320113. The reversal of 113200320096 is 690023002311.

113200320096 is a `hidden beast` number, since 11 + 320 + 0 + 320 + 0 + 9 + 6 = 666.

It is a super-2 number, since 2×1132003200962 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113200320091) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1100041 + ... + 1198536.

It is an arithmetic number, because the mean of its divisors is an integer number (2920343349).

Almost surely, 2113200320096 is an apocalyptic number.

113200320096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

113200320096 is an abundant number, since it is smaller than the sum of its proper divisors (237240881784).

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

113200320096 is a wasteful number, since it uses less digits than its factorization.

113200320096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298618 (or 2298601 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 113200320096 in words is "one hundred thirteen billion, two hundred million, three hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 288 304 324 342 432 456 513 608 648 684 864 912 1026 1296 1368 1539 1824 2052 2592 2736 3078 4104 5472 6156 8208 12312 16416 24624 49248 2298577 4597154 6895731 9194308 13791462 18388616 20687193 27582924 36777232 41374386 43672963 55165848 62061579 73554464 82748772 87345926 110331696 124123158 131018889 165497544 174691852 186184737 220663392 248246316 262037778 330995088 349383704 372369474 393056667 496492632 524075556 661990176 698767408 744738948 786113334 992985264 1048151112 1179170001 1397534816 1489477896 1572226668 1985970528 2096302224 2358340002 2978955792 3144453336 3537510003 4192604448 4716680004 5957911584 6288906672 7075020006 9433360008 12577813344 14150040012 18866720016 28300080024 37733440032 56600160048 113200320096