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103233123120 = 24351103389971
BaseRepresentation
bin110000000100100101…
…1000111001100110000
3100212110111100000101110
41200021023013030300
53142410134414440
6115231420033320
710313133032301
oct1401113071460
9325414300343
10103233123120
113a865452386
1218010692840
1399725a794a
144dd45cc7a8
152a42ecc080
hex18092c7330

103233123120 has 80 divisors (see below), whose sum is σ = 320313641472. Its totient is φ = 27503804160.

The previous prime is 103233123113. The next prime is 103233123127. The reversal of 103233123120 is 21321332301.

It is an interprime number because it is at equal distance from previous prime (103233123113) and next prime (103233123127).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (103233123127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69735 + ... + 459705.

Almost surely, 2103233123120 is an apocalyptic number.

103233123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103233123120 is an abundant number, since it is smaller than the sum of its proper divisors (217080518352).

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

103233123120 is a wasteful number, since it uses less digits than its factorization.

103233123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391090 (or 391084 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 103233123120 its reverse (21321332301), we get a palindrome (124554455421).

The spelling of 103233123120 in words is "one hundred three billion, two hundred thirty-three million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1103 2206 3309 4412 5515 6618 8824 11030 13236 16545 17648 22060 26472 33090 44120 52944 66180 88240 132360 264720 389971 779942 1169913 1559884 1949855 2339826 3119768 3899710 4679652 5849565 6239536 7799420 9359304 11699130 15598840 18718608 23398260 31197680 46796520 93593040 430138013 860276026 1290414039 1720552052 2150690065 2580828078 3441104104 4301380130 5161656156 6452070195 6882208208 8602760260 10323312312 12904140390 17205520520 20646624624 25808280780 34411041040 51616561560 103233123120