Search a number
-
+
103232231001020 = 2251143310191063483
BaseRepresentation
bin10111011110001110100000…
…011101010100101110111100
3111112111220102200011222122202
4113132032200131110232330
5102012324102114013040
61003320122054331032
730513165630266342
oct2736164035245674
9445456380158582
10103232231001020
112a9905a8161180
12b6b3121359a78
13457a9b0624244
141b6c676661992
15be0491da4015
hex5de3a0754bbc

103232231001020 has 96 divisors (see below), whose sum is σ = 237274680948480. Its totient is φ = 37415508802560.

The previous prime is 103232231001001. The next prime is 103232231001023. The reversal of 103232231001020 is 20100132232301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103232231000983 and 103232231001001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103232231001023) 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, 96538199 + ... + 97601681.

It is an arithmetic number, because the mean of its divisors is an integer number (2471611259880).

Almost surely, 2103232231001020 is an apocalyptic number.

103232231001020 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 103232231001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118637340474240).

103232231001020 is an abundant number, since it is smaller than the sum of its proper divisors (134042449947460).

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

103232231001020 is a wasteful number, since it uses less digits than its factorization.

103232231001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064955 (or 1064953 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 103232231001020 its reverse (20100132232301), we get a palindrome (123332363233321).

The spelling of 103232231001020 in words is "one hundred three trillion, two hundred thirty-two billion, two hundred thirty-one million, one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 433 866 1019 1732 2038 2165 4076 4330 4763 5095 8660 9526 10190 11209 19052 20380 22418 23815 44836 47630 56045 95260 112090 224180 441227 882454 1063483 1764908 2126966 2206135 4253932 4412270 4853497 5317415 8824540 9706994 10634830 11698313 19413988 21269660 23396626 24267485 46793252 48534970 58491565 97069940 116983130 233966260 460488139 920976278 1083689177 1841952556 2167378354 2302440695 4334756708 4604881390 5065369529 5418445885 9209762780 10130739058 10836891770 11920580947 20261478116 21673783540 23841161894 25326847645 47682323788 50653695290 59602904735 101307390580 119205809470 238411618940 469237413641 938474827282 1876949654564 2346187068205 4692374136410 5161611550051 9384748272820 10323223100102 20646446200204 25808057750255 51616115500510 103232231001020