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1232133012 = 2233114722067
BaseRepresentation
bin100100101110000…
…1101101110010100
310011212110211202000
41021130031232110
510010411224022
6322132515300
742350646345
oct11134155624
93155424660
101232133012
11582563850
122a477bb30
131683652b6
14b98d60cc
15732866ac
hex4970db94

1232133012 has 96 divisors (see below), whose sum is σ = 3559127040. Its totient is φ = 365412960.

The previous prime is 1232132989. The next prime is 1232133013. The reversal of 1232133012 is 2103312321.

1232133012 is a `hidden beast` number, since 1 + 2 + 321 + 330 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1232133013) 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, 44803 + ... + 66869.

It is an arithmetic number, because the mean of its divisors is an integer number (37074240).

Almost surely, 21232133012 is an apocalyptic number.

1232133012 is a gapful number since it is divisible by the number (12) 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 1232133012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779563520).

1232133012 is an abundant number, since it is smaller than the sum of its proper divisors (2326994028).

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

1232133012 is a wasteful number, since it uses less digits than its factorization.

1232133012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22138 (or 22130 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1232133012 is about 35101.7522639540. The cubic root of 1232133012 is about 1072.0602608231.

Adding to 1232133012 its reverse (2103312321), we get a palindrome (3335445333).

The spelling of 1232133012 in words is "one billion, two hundred thirty-two million, one hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 47 54 66 94 99 108 132 141 188 198 282 297 396 423 517 564 594 846 1034 1188 1269 1551 1692 2068 2538 3102 4653 5076 6204 9306 13959 18612 22067 27918 44134 55836 66201 88268 132402 198603 242737 264804 397206 485474 595809 728211 794412 970948 1037149 1191618 1456422 2074298 2184633 2383236 2912844 3111447 4148596 4369266 6222894 6553899 8738532 9334341 11408639 12445788 13107798 18668682 22817278 26215596 28003023 34225917 37337364 45634556 56006046 68451834 102677751 112012092 136903668 205355502 308033253 410711004 616066506 1232133012