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1232133140 = 2257174611123
BaseRepresentation
bin100100101110000…
…1101110000010100
310011212110211220202
41021130031300110
510010411230030
6322132520032
742350646620
oct11134156024
93155424822
101232133140
11582563957
122a4780018
13168365384
14b98d6180
1573286745
hex4970dc14

1232133140 has 96 divisors (see below), whose sum is σ = 3140653824. Its totient is φ = 396380160.

The previous prime is 1232133127. The next prime is 1232133143. The reversal of 1232133140 is 413312321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1232133143) 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 31 ways as a sum of consecutive naturals, for example, 1096619 + ... + 1097741.

It is an arithmetic number, because the mean of its divisors is an integer number (32715144).

Almost surely, 21232133140 is an apocalyptic number.

1232133140 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 1232133140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570326912).

1232133140 is an abundant number, since it is smaller than the sum of its proper divisors (1908520684).

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

1232133140 is a wasteful number, since it uses less digits than its factorization.

1232133140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1232133140 is about 35101.7540872248. The cubic root of 1232133140 is about 1072.0602979467.

Adding to 1232133140 its reverse (413312321), we get a palindrome (1645445461).

The spelling of 1232133140 in words is "one billion, two hundred thirty-two million, one hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 461 476 595 922 1123 1190 1844 2246 2305 2380 3227 4492 4610 5615 6454 7837 7861 9220 11230 12908 15674 15722 16135 19091 22460 31348 31444 32270 38182 39185 39305 54859 64540 76364 78370 78610 95455 109718 133637 156740 157220 190910 219436 267274 274295 381820 517703 534548 548590 668185 1035406 1097180 1336370 2070812 2588515 2672740 3623921 5177030 7247842 8800951 10354060 14495684 17601902 18119605 35203804 36239210 44004755 61606657 72478420 88009510 123213314 176019020 246426628 308033285 616066570 1232133140