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113047701192 = 23341752119697
BaseRepresentation
bin110100101001000101…
…0110000011011001000
3101210210111012020110000
41221102022300123020
53323010202414232
6123533340323000
711111266414446
oct1512212603310
9353714166400
10113047701192
1143a41531128
1219aab543460
13a877a433aa
145685c85b96
152e1996027c
hex1a522b06c8

113047701192 has 160 divisors (see below), whose sum is σ = 335924570520. Its totient is φ = 35396075520.

The previous prime is 113047701167. The next prime is 113047701253. The reversal of 113047701192 is 291107740311.

It can be written as a sum of positive squares in 4 ways, for example, as 81119014596 + 31928686596 = 284814^2 + 178686^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5729488 + ... + 5749184.

Almost surely, 2113047701192 is an apocalyptic number.

113047701192 is a gapful number since it is divisible by the number (12) 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 113047701192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167962285260).

113047701192 is an abundant number, since it is smaller than the sum of its proper divisors (222876869328).

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

113047701192 is a wasteful number, since it uses less digits than its factorization.

113047701192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20253 (or 20240 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 113047701192 in words is "one hundred thirteen billion, forty-seven million, seven hundred one thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 521 612 648 918 1042 1224 1377 1563 1836 2084 2754 3126 3672 4168 4689 5508 6252 8857 9378 11016 12504 14067 17714 18756 19697 26571 28134 35428 37512 39394 42201 53142 56268 59091 70856 78788 79713 84402 106284 112536 118182 157576 159426 168804 177273 212568 236364 239139 318852 334849 337608 354546 472728 478278 531819 637704 669698 709092 717417 956556 1004547 1063638 1339396 1418184 1434834 1595457 1913112 2009094 2127276 2678792 2869668 3013641 3190914 4018188 4254552 5739336 6027282 6381828 8036376 9040923 10262137 12054564 12763656 18081846 20524274 24109128 27122769 30786411 36163692 41048548 54245538 61572822 72327384 82097096 92359233 108491076 123145644 174456329 184718466 216982152 246291288 277077699 348912658 369436932 523368987 554155398 697825316 738873864 831233097 1046737974 1108310796 1395650632 1570106961 1662466194 2093475948 2216621592 3140213922 3324932388 4186951896 4710320883 6280427844 6649864776 9420641766 12560855688 14130962649 18841283532 28261925298 37682567064 56523850596 113047701192