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231032142 = 2331117137167
BaseRepresentation
bin11011100010101…
…00010101001110
3121002201122112000
431301110111032
5433121012032
634531453130
75503512045
oct1561242516
9532648460
10231032142
11109458960
12654571a6
1338b31013
142297d55c
1515438e7c
hexdc5454e

231032142 has 128 divisors (see below), whose sum is σ = 600929280. Its totient is φ = 65018880.

The previous prime is 231032101. The next prime is 231032161. The reversal of 231032142 is 241230132.

231032142 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1383343 + ... + 1383509.

It is an arithmetic number, because the mean of its divisors is an integer number (4694760).

Almost surely, 2231032142 is an apocalyptic number.

231032142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 231032142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300464640).

231032142 is an abundant number, since it is smaller than the sum of its proper divisors (369897138).

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

231032142 is a wasteful number, since it uses less digits than its factorization.

231032142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 337 counting only the distinct ones).

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

The square root of 231032142 is about 15199.7415109600. The cubic root of 231032142 is about 613.6077010361.

Adding to 231032142 its reverse (241230132), we get a palindrome (472262274).

The spelling of 231032142 in words is "two hundred thirty-one million, thirty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 137 153 167 187 198 274 297 306 334 374 411 459 501 561 594 822 918 1002 1122 1233 1503 1507 1683 1837 2329 2466 2839 3006 3014 3366 3674 3699 4509 4521 4658 5049 5511 5678 6987 7398 8517 9018 9042 10098 11022 13563 13974 16533 17034 20961 22879 25551 25619 27126 31229 33066 40689 41922 45758 49599 51102 51238 62458 62883 68637 76653 76857 81378 93687 99198 125766 137274 153306 153714 187374 205911 230571 251669 281061 388943 411822 461142 503338 562122 617733 691713 755007 777886 843183 1166829 1235466 1383426 1510014 1686366 2265021 2333658 3500487 4278373 4530042 6795063 7000974 8556746 10501461 12835119 13590126 21002922 25670238 38505357 77010714 115516071 231032142