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123231011020 = 225132101360979
BaseRepresentation
bin111001011000100100…
…1000000000011001100
3102210002011212222101021
41302301021000003030
54004334114323040
6132340032123524
711621531211415
oct1626111000314
9383064788337
10123231011020
1148297769567
121ba719965a4
13b80b6c3100
145d704c480c
15331397c24a
hex1cb12400cc

123231011020 has 72 divisors (see below), whose sum is σ = 282998212560. Its totient is φ = 45050054400.

The previous prime is 123231011011. The next prime is 123231011027. The reversal of 123231011020 is 20110132321.

It is a super-2 number, since 2×1232310110202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123231010985 and 123231011003.

It is not an unprimeable number, because it can be changed into a prime (123231011027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160891 + ... + 521869.

It is an arithmetic number, because the mean of its divisors is an integer number (3930530730).

Almost surely, 2123231011020 is an apocalyptic number.

123231011020 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 123231011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141499106280).

123231011020 is an abundant number, since it is smaller than the sum of its proper divisors (159767201540).

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

123231011020 is a wasteful number, since it uses less digits than its factorization.

123231011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361115 (or 361100 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 123231011020 its reverse (20110132321), we get a palindrome (143341143341).

The spelling of 123231011020 in words is "one hundred twenty-three billion, two hundred thirty-one million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 169 202 260 338 404 505 676 845 1010 1313 1690 2020 2626 3380 5252 6565 13130 17069 26260 34138 68276 85345 170690 341380 360979 721958 1443916 1804895 3609790 4692727 7219580 9385454 18770908 23463635 36458879 46927270 61005451 72917758 93854540 122010902 145835516 182294395 244021804 305027255 364588790 473965427 610054510 729177580 947930854 1220109020 1895861708 2369827135 4739654270 6161550551 9479308540 12323101102 24646202204 30807752755 61615505510 123231011020