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103022032113 = 33711213346529
BaseRepresentation
bin101111111110010010…
…1110111010011110001
3100211220210010110222000
41133330211313103301
53141442120011423
6115154435404213
710304660552520
oct1377445672361
9324823113860
10103022032113
113a767284600
1217b71a53669
13993a939320
144db45604b7
152a2e6d1843
hex17fc9774f1

103022032113 has 96 divisors (see below), whose sum is σ = 206476435200. Its totient is φ = 49401031680.

The previous prime is 103022032079. The next prime is 103022032171. The reversal of 103022032113 is 311230220301.

103022032113 is a `hidden beast` number, since 10 + 302 + 20 + 321 + 13 = 666.

It is not a de Polignac number, because 103022032113 - 218 = 103021769969 is a prime.

It is a super-2 number, since 2×1030220321132 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103022022113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124033 + ... + 470561.

It is an arithmetic number, because the mean of its divisors is an integer number (2150796200).

Almost surely, 2103022032113 is an apocalyptic number.

103022032113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103022032113 is an abundant number, since it is smaller than the sum of its proper divisors (103454403087).

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

103022032113 is a wasteful number, since it uses less digits than its factorization.

103022032113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346580 (or 346563 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103022032113 its reverse (311230220301), we get a palindrome (414252252414).

The spelling of 103022032113 in words is "one hundred three billion, twenty-two million, thirty-two thousand, one hundred thirteen".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 91 99 117 121 143 189 231 273 297 351 363 429 693 819 847 1001 1089 1287 1573 2079 2457 2541 3003 3267 3861 4719 7623 9009 11011 14157 22869 27027 33033 42471 99099 297297 346529 1039587 2425703 3118761 3811819 4504877 7277109 9356283 11435457 13514631 21831327 26682733 31534139 34306371 40543893 41930009 49553647 65493981 80048199 94602417 102919113 121631679 125790027 148660941 240144597 283807251 293510063 346875529 377370081 445982823 545090117 720433791 851421753 880530189 1040626587 1132110243 1337948469 1635270351 2641590567 3121879761 3815630819 4905811053 7924771701 9365639283 11446892457 14717433159 34340677371 103022032113