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213123115044 = 2232769110091213
BaseRepresentation
bin1100011001111100100…
…0001010100000100100
3202101002220202000001100
43012133020022200210
511442434004140134
6241524000000100
721253250405430
oct3063710124044
9671086660040
10213123115044
1182426495824
123537a600030
13171360688c8
14a45ad379c0
1558255e4999
hex319f20a824

213123115044 has 144 divisors (see below), whose sum is σ = 617699904640. Its totient is φ = 60693857280.

The previous prime is 213123115027. The next prime is 213123115081. The reversal of 213123115044 is 440511321312.

213123115044 is a `hidden beast` number, since 2 + 131 + 23 + 1 + 1 + 504 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 213123114999 and 213123115017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175698582 + ... + 175699794.

Almost surely, 2213123115044 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 213123115044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308849952320).

213123115044 is an abundant number, since it is smaller than the sum of its proper divisors (404576789596).

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

213123115044 is a wasteful number, since it uses less digits than its factorization.

213123115044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 213123115044 its reverse (440511321312), we get a palindrome (653634436356).

The spelling of 213123115044 in words is "two hundred thirteen billion, one hundred twenty-three million, one hundred fifteen thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 691 1009 1213 1382 2018 2073 2426 2764 3027 3639 4036 4146 4837 4852 6054 6219 7063 7278 8292 8491 9081 9674 10917 12108 12438 14126 14511 14556 16982 18162 19348 21189 21834 24876 25473 28252 29022 33964 36324 42378 43533 43668 50946 58044 63567 76419 84756 87066 101892 127134 152838 174132 254268 305676 697219 838183 1223917 1394438 1676366 2091657 2447834 2514549 2788876 3352732 3671751 4183314 4880533 4895668 5029098 5867281 6274971 7343502 7543647 8366628 8567419 9761066 10058196 11015253 11734562 12549942 14641599 14687004 15087294 17134838 17601843 19522132 22030506 23469124 25099884 25702257 29283198 30174588 34269676 35203686 43924797 44061012 51404514 52805529 58566396 70407372 77106771 87849594 102809028 105611058 154213542 175699188 211222116 308427084 845726647 1691453294 2537179941 3382906588 5074359882 5920086529 7611539823 10148719764 11840173058 15223079646 17760259587 23680346116 30446159292 35520519174 53280778761 71041038348 106561557522 213123115044