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10013211123102 = 2331117991603399
BaseRepresentation
bin1001000110110110000111…
…1001000101110110011110
31022110020211220021211202000
42101231201321011312132
52303024024021414402
633144001121143130
72052300464134215
oct221554171056636
938406756254660
1010013211123102
1132106406a9380
12115876418aaa6
1357831b1aa325
142688db93407c
151256eeb99c1c
hex91b61e45d9e

10013211123102 has 64 divisors (see below), whose sum is σ = 25702360128000. Its totient is φ = 2855817786240.

The previous prime is 10013211123077. The next prime is 10013211123163. The reversal of 10013211123102 is 20132111231001.

10013211123102 is a `hidden beast` number, since 100 + 1 + 321 + 11 + 231 + 0 + 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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495791602 + ... + 495811797.

It is an arithmetic number, because the mean of its divisors is an integer number (401599377000).

Almost surely, 210013211123102 is an apocalyptic number.

10013211123102 is an abundant number, since it is smaller than the sum of its proper divisors (15689149004898).

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

10013211123102 is a wasteful number, since it uses less digits than its factorization.

10013211123102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991603438 (or 991603432 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10013211123102 its reverse (20132111231001), we get a palindrome (30145322354103).

The spelling of 10013211123102 in words is "ten trillion, thirteen billion, two hundred eleven million, one hundred twenty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 594 918 1122 1683 3366 5049 10098 991603399 1983206798 2974810197 5949620394 8924430591 10907637389 16857257783 17848861182 21815274778 26773291773 32722912167 33714515566 50571773349 53546583546 65445824334 98168736501 101143546698 151715320047 185429835613 196337473002 294506209503 303430640094 370859671226 455145960141 556289506839 589012419006 910291920282 1112579013678 1668868520517 3337737041034 5006605561551 10013211123102