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103232132220 = 22357593414487
BaseRepresentation
bin110000000100100011…
…1010101010001111100
3100212110102110200010110
41200021013111101330
53142404411212340
6115231342510020
710313121434340
oct1401107252174
9325412420113
10103232132220
113a864935958
1218010295310
13997231b909
144dd4411620
152a42d83680
hex18091d547c

103232132220 has 96 divisors (see below), whose sum is σ = 330900691968. Its totient is φ = 23556068352.

The previous prime is 103232132209. The next prime is 103232132249. The reversal of 103232132220 is 22231232301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41817 + ... + 456303.

It is an arithmetic number, because the mean of its divisors is an integer number (3446882208).

Almost surely, 2103232132220 is an apocalyptic number.

103232132220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103232132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165450345984).

103232132220 is an abundant number, since it is smaller than the sum of its proper divisors (227668559748).

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

103232132220 is a wasteful number, since it uses less digits than its factorization.

103232132220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415099 (or 415097 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 103232132220 its reverse (22231232301), we get a palindrome (125463364521).

The spelling of 103232132220 in words is "one hundred three billion, two hundred thirty-two million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 593 1186 1779 2372 2965 3558 4151 5930 7116 8302 8895 11860 12453 16604 17790 20755 24906 35580 41510 49812 62265 83020 124530 249060 414487 828974 1243461 1657948 2072435 2486922 2901409 4144870 4973844 5802818 6217305 8289740 8704227 11605636 12434610 14507045 17408454 24869220 29014090 34816908 43521135 58028180 87042270 174084540 245790791 491581582 737372373 983163164 1228953955 1474744746 1720535537 2457907910 2949489492 3441071074 3686861865 4915815820 5161606611 6882142148 7373723730 8602677685 10323213222 14747447460 17205355370 20646426444 25808033055 34410710740 51616066110 103232132220