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103022200320102 = 23272352616757159
BaseRepresentation
bin10111011011001010111001…
…101001110111000001100110
3111111202211022021101220201200
4113123022321221313001212
5102000403431240220402
61003035425004103330
730462052110044550
oct2733127151670146
9444684267356650
10103022200320102
112a90a51932aa38
12b67a486534b46
134563c4b164a1b
141b624303124d0
15bd9c9d01121c
hex5db2b9a77066

103022200320102 has 96 divisors (see below), whose sum is σ = 266244645288960. Its totient is φ = 28149779655360.

The previous prime is 103022200320097. The next prime is 103022200320161. The reversal of 103022200320102 is 201023002220301.

103022200320102 is a `hidden beast` number, since 10 + 30 + 2 + 2 + 200 + 320 + 102 = 666.

It is a super-2 number, since 2×1030222003201022 (a number of 29 digits) contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11867799 + ... + 18624957.

It is an arithmetic number, because the mean of its divisors is an integer number (2773381721760).

Almost surely, 2103022200320102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103022200320102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133122322644480).

103022200320102 is an abundant number, since it is smaller than the sum of its proper divisors (163222444968858).

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

103022200320102 is a wasteful number, since it uses less digits than its factorization.

103022200320102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6762458 (or 6762455 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103022200320102 its reverse (201023002220301), we get a palindrome (304045202540403).

The spelling of 103022200320102 in words is "one hundred three trillion, twenty-two billion, two hundred million, three hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1449 2898 5261 10522 15783 31566 36827 47349 73654 94698 110481 121003 220962 242006 331443 363009 662886 726018 847021 1089027 1694042 2178054 2541063 5082126 6757159 7623189 13514318 15246378 20271477 40542954 47300113 60814431 94600226 121628862 141900339 155414657 283800678 310829314 425701017 466243971 851402034 932487942 1087902599 1398731913 2175805198 2797463826 3263707797 6527415594 9791123391 19582246782 35549413499 71098826998 106648240497 213296480994 248845894493 319944721491 497691788986 639889442982 746537683479 817636510477 1493075366958 1635273020954 2239613050437 2452909531431 4479226100874 4905819062862 5723455573339 7358728594293 11446911146678 14717457188586 17170366720017 34340733440034 51511100160051 103022200320102