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123231420 = 223251324051
BaseRepresentation
bin1110101100001…
…01110010111100
322120212210201200
413112011302330
5223021401140
620121135500
73024310164
oct726056274
9276783650
10123231420
1163619654
123532a590
131c6b8a00
141251b5a4
15ac43030
hex7585cbc

123231420 has 108 divisors (see below), whose sum is σ = 404867736. Its totient is φ = 30326400.

The previous prime is 123231403. The next prime is 123231431. The reversal of 123231420 is 24132321.

123231420 is a `hidden beast` number, since 12 + 3 + 231 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 123231393 and 123231402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28395 + ... + 32445.

Almost surely, 2123231420 is an apocalyptic number.

123231420 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 123231420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202433868).

123231420 is an abundant number, since it is smaller than the sum of its proper divisors (281636316).

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

123231420 is a wasteful number, since it uses less digits than its factorization.

123231420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4092 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 123231420 is about 11100.9648229332. The cubic root of 123231420 is about 497.6306837484.

Adding to 123231420 its reverse (24132321), we get a palindrome (147363741).

Subtracting from 123231420 its reverse (24132321), we obtain a palindrome (99099099).

The spelling of 123231420 in words is "one hundred twenty-three million, two hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 169 180 195 234 260 338 390 468 507 585 676 780 845 1014 1170 1521 1690 2028 2340 2535 3042 3380 4051 5070 6084 7605 8102 10140 12153 15210 16204 20255 24306 30420 36459 40510 48612 52663 60765 72918 81020 105326 121530 145836 157989 182295 210652 243060 263315 315978 364590 473967 526630 631956 684619 729180 789945 947934 1053260 1369238 1579890 1895868 2053857 2369835 2738476 3159780 3423095 4107714 4739670 6161571 6846190 8215428 9479340 10269285 12323142 13692380 20538570 24646284 30807855 41077140 61615710 123231420