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113011310101212 = 223229111857967739
BaseRepresentation
bin11001101100100001111110…
…111111101000001011011100
3112211010202221111202201200200
4121230201332333220023130
5104303034130341214322
61040204402410023500
732542540421166645
oct3154417677501334
9484122844681620
10113011310101212
1133010911398356
1210812423117b90
134b09bc8052433
141dc9ac2d8a6cc
15d0ea3bd4c8ac
hex66c87efe82dc

113011310101212 has 72 divisors (see below), whose sum is σ = 295521028311600. Its totient is φ = 36371093380608.

The previous prime is 113011310101199. The next prime is 113011310101219. The reversal of 113011310101212 is 212101013110311.

113011310101212 is a `hidden beast` number, since 1 + 1 + 30 + 11 + 310 + 101 + 212 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113011310101219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116294839 + ... + 117262577.

It is an arithmetic number, because the mean of its divisors is an integer number (4104458726550).

Almost surely, 2113011310101212 is an apocalyptic number.

113011310101212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113011310101212 is an abundant number, since it is smaller than the sum of its proper divisors (182509718210388).

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

113011310101212 is a wasteful number, since it uses less digits than its factorization.

113011310101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079635 (or 1079630 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 113011310101212 its reverse (212101013110311), we get a palindrome (325112323211523).

The spelling of 113011310101212 in words is "one hundred thirteen trillion, eleven billion, three hundred ten million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 111857 223714 335571 447428 671142 967739 1006713 1342284 1935478 2013426 2903217 3243853 3870956 4026852 5806434 6487706 8709651 9731559 11612868 12975412 17419302 19463118 28064431 29194677 34838604 38926236 56128862 58389354 84193293 112257724 116778708 168386586 252579879 336773172 505159758 1010319516 108248381323 216496762646 324745143969 432993525292 649490287938 974235431907 1298980575876 1948470863814 3139203058367 3896941727628 6278406116734 9417609175101 12556812233468 18835218350202 28252827525303 37670436700404 56505655050606 113011310101212