Search a number
-
+
101414421120402 = 233131093132172907
BaseRepresentation
bin10111000011110001100010…
…100010111100010110010010
3111022002010100101012010221000
4113003301202202330112102
5101243033213301323102
6555405050352042430
730234643616246145
oct2703614242742622
9438063311163830
10101414421120402
112a34a683943695
12b45a964533416
134478453686650
141b086ac7d605c
15bad04d9e901c
hex5c3c628bc592

101414421120402 has 64 divisors (see below), whose sum is σ = 242923231071360. Its totient is φ = 31175887684032.

The previous prime is 101414421120323. The next prime is 101414421120433. The reversal of 101414421120402 is 204021124414101.

101414421120402 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 1 + 44 + 211 + 2 + 0 + 402 = 666.

It is a super-2 number, since 2×1014144211204022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65319168 + ... + 66853739.

It is an arithmetic number, because the mean of its divisors is an integer number (3795675485490).

Almost surely, 2101414421120402 is an apocalyptic number.

101414421120402 is an abundant number, since it is smaller than the sum of its proper divisors (141508809950958).

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

101414421120402 is a wasteful number, since it uses less digits than its factorization.

101414421120402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132174024 (or 132174018 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 101414421120402 its reverse (204021124414101), we get a palindrome (305435545534503).

The spelling of 101414421120402 in words is "one hundred one trillion, four hundred fourteen billion, four hundred twenty-one million, one hundred twenty thousand, four hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 1093 2186 3279 6558 9837 14209 19674 28418 29511 42627 59022 85254 127881 255762 383643 767286 132172907 264345814 396518721 793037442 1189556163 1718247791 2379112326 3436495582 3568668489 5154743373 7137336978 10309486746 15464230119 30928460238 46392690357 92785380714 144464987351 288929974702 433394962053 866789924106 1300184886159 1878044835563 2600369772318 3756089671126 3900554658477 5634134506689 7801109316954 11268269013378 16902403520067 33804807040134 50707210560201 101414421120402