Search a number
-
+
12032431020 = 22325173932167
BaseRepresentation
bin10110011010011000…
…00101001110101100
31011001120010211100100
423031030011032230
5144120300243040
65305544431100
7604113655551
oct131514051654
934046124310
1012032431020
115114aa2575
1223b9778490
131199aab18c
14822060a28
154a6529b30
hex2cd3053ac

12032431020 has 72 divisors (see below), whose sum is σ = 38645347104. Its totient is φ = 3019903488.

The previous prime is 12032431013. The next prime is 12032431049. The reversal of 12032431020 is 2013423021.

12032431020 is a `hidden beast` number, since 12 + 0 + 324 + 310 + 20 = 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 = 12032430984 and 12032431002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1963024 + ... + 1969143.

It is an arithmetic number, because the mean of its divisors is an integer number (536740932).

Almost surely, 212032431020 is an apocalyptic number.

12032431020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12032431020 is an abundant number, since it is smaller than the sum of its proper divisors (26612916084).

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

12032431020 is a wasteful number, since it uses less digits than its factorization.

12032431020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3932199 (or 3932194 counting only the distinct ones).

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

Adding to 12032431020 its reverse (2013423021), we get a palindrome (14045854041).

The spelling of 12032431020 in words is "twelve billion, thirty-two million, four hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 3932167 7864334 11796501 15728668 19660835 23593002 35389503 39321670 47186004 58982505 66846839 70779006 78643340 117965010 133693678 141558012 176947515 200540517 235930020 267387356 334234195 353895030 401081034 601621551 668468390 707790060 802162068 1002702585 1203243102 1336936780 2005405170 2406486204 3008107755 4010810340 6016215510 12032431020