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113001133000212 = 22351016079189349
BaseRepresentation
bin11001101100011000100000…
…011001000100011000010100
3112211002210200020202102200000
4121230120200121010120110
5104302402310022001322
61040200000455251300
732542030263232362
oct3154304031043024
9484083606672600
10113001133000212
1133007569710786
1210810462979b30
134b08c65767792
141dc93d94c6632
15d0e64365a3ac
hex66c620644614

113001133000212 has 144 divisors (see below), whose sum is σ = 299204750208000. Its totient is φ = 37287771465600.

The previous prime is 113001133000201. The next prime is 113001133000267. The reversal of 113001133000212 is 212000331100311.

113001133000212 is a `hidden beast` number, since 1 + 1 + 300 + 11 + 330 + 0 + 0 + 21 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 596692914 + ... + 596882262.

Almost surely, 2113001133000212 is an apocalyptic number.

113001133000212 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 113001133000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149602375104000).

113001133000212 is an abundant number, since it is smaller than the sum of its proper divisors (186203617207788).

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

113001133000212 is a wasteful number, since it uses less digits than its factorization.

113001133000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195548 (or 195534 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113001133000212 its reverse (212000331100311), we get a palindrome (325001464100523).

The spelling of 113001133000212 in words is "one hundred thirteen trillion, one billion, one hundred thirty-three million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 243 303 324 404 486 606 909 972 1212 1818 2727 3636 5454 6079 8181 10908 12158 16362 18237 24316 24543 32724 36474 49086 54711 72948 98172 109422 164133 189349 218844 328266 378698 492399 568047 613979 656532 757396 984798 1136094 1227958 1477197 1704141 1841937 1969596 2272188 2455916 2954394 3408282 3683874 5112423 5525811 5908788 6816564 7367748 10224846 11051622 15337269 16577433 19124249 20449692 22103244 30674538 33154866 38248498 46011807 49732299 57372747 61349076 66309732 76496996 92023614 99464598 114745494 149196897 172118241 184047228 198929196 229490988 298393794 344236482 516354723 596787588 688472964 1032709446 1151052571 1549064169 2065418892 2302105142 3098128338 3453157713 4604210284 4647192507 6196256676 6906315426 9294385014 10359473139 13812630852 18588770028 20718946278 31078419417 41437892556 62156838834 93235258251 116256309671 124313677668 186470516502 232512619342 279705774753 348768929013 372941033004 465025238684 559411549506 697537858026 1046306787039 1118823099012 1395075716052 2092613574078 3138920361117 4185227148156 6277840722234 9416761083351 12555681444468 18833522166702 28250283250053 37667044333404 56500566500106 113001133000212