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103153235022 = 2337356945989
BaseRepresentation
bin110000000010001101…
…0010111010001001110
3100212020221000021112000
41200010122113101032
53142224212010042
6115215443453130
710311143013345
oct1400432272116
9325227007460
10103153235022
113a824348262
1217ba99871a6
13995bb86496
144dc7b54b5c
152a3ae9b74c
hex180469744e

103153235022 has 64 divisors (see below), whose sum is σ = 232782984000. Its totient is φ = 33853054464.

The previous prime is 103153235021. The next prime is 103153235033. The reversal of 103153235022 is 220532351301.

It is a happy number.

103153235022 is a `hidden beast` number, since 1 + 0 + 3 + 153 + 2 + 3 + 502 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103153235021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2220004 + ... + 2265992.

It is an arithmetic number, because the mean of its divisors is an integer number (3637234125).

Almost surely, 2103153235022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103153235022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116391492000).

103153235022 is an abundant number, since it is smaller than the sum of its proper divisors (129629748978).

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

103153235022 is a wasteful number, since it uses less digits than its factorization.

103153235022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46642 (or 46636 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 103153235022 its reverse (220532351301), we get a palindrome (323685586323).

The spelling of 103153235022 in words is "one hundred three billion, one hundred fifty-three million, two hundred thirty-five thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 73 146 219 438 569 657 1138 1314 1707 1971 3414 3942 5121 10242 15363 30726 41537 45989 83074 91978 124611 137967 249222 275934 373833 413901 747666 827802 1121499 1241703 2242998 2483406 3357197 6714394 10071591 20143182 26167741 30214773 52335482 60429546 78503223 90644319 157006446 181288638 235509669 471019338 706529007 1413058014 1910245093 3820490186 5730735279 11461470558 17192205837 34384411674 51576617511 103153235022