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102002555214 = 23278925735393
BaseRepresentation
bin101111011111111010…
…0110111100101001110
3100202021201210200120100
41132333310313211032
53132400123231324
6114505340431530
710240501261620
oct1367764674516
9322251720510
10102002555214
113a29386850a
12179285485a6
13980766cb61
144d18dc2c10
1529bee544c9
hex17bfd3794e

102002555214 has 96 divisors (see below), whose sum is σ = 256416788160. Its totient is φ = 28703195136.

The previous prime is 102002555191. The next prime is 102002555227. The reversal of 102002555214 is 412555200201.

102002555214 is a `hidden beast` number, since 102 + 0 + 0 + 2 + 5 + 552 + 1 + 4 = 666.

It is a congruent number.

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, 2864302 + ... + 2899694.

It is an arithmetic number, because the mean of its divisors is an integer number (2671008210).

Almost surely, 2102002555214 is an apocalyptic number.

102002555214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102002555214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128208394080).

102002555214 is an abundant number, since it is smaller than the sum of its proper divisors (154414232946).

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

102002555214 is a wasteful number, since it uses less digits than its factorization.

102002555214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35754 (or 35751 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 102002555214 its reverse (412555200201), we get a palindrome (514557755415).

The spelling of 102002555214 in words is "one hundred two billion, two million, five hundred fifty-five thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 89 126 178 257 267 514 534 623 771 801 1246 1542 1602 1799 1869 2313 3598 3738 4626 5397 5607 10794 11214 16191 22873 32382 35393 45746 68619 70786 106179 137238 160111 205857 212358 247751 318537 320222 411714 480333 495502 637074 743253 960666 1440999 1486506 2229759 2881998 3149977 4459518 6299954 9096001 9449931 18192002 18899862 22049839 27288003 28349793 44099678 54576006 56699586 63672007 66149517 81864009 127344014 132299034 163728018 191016021 198448551 382032042 396897102 573048063 809544089 1146096126 1619088178 2428632267 4857264534 5666808623 7285896801 11333617246 14571793602 17000425869 34000851738 51001277607 102002555214