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2032133012 = 22713171971667
BaseRepresentation
bin111100100011111…
…1110001110010100
312020121211001102122
41321013332032110
513130211224022
6533351355112
7101233563020
oct17107761624
95217731378
102032133012
119530a4678
12488682a98
13265018190
14153c61380
15bd60d742
hex791fe394

2032133012 has 96 divisors (see below), whose sum is σ = 4660685568. Its totient is φ = 752338944.

The previous prime is 2032133009. The next prime is 2032133017. The reversal of 2032133012 is 2103312302.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032133017) 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, 1218203 + ... + 1219869.

It is an arithmetic number, because the mean of its divisors is an integer number (48548808).

Almost surely, 22032133012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032133012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330342784).

2032133012 is an abundant number, since it is smaller than the sum of its proper divisors (2628552556).

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

2032133012 is a wasteful number, since it uses less digits than its factorization.

2032133012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2032133012 is about 45079.1860174959. The cubic root of 2032133012 is about 1266.6327424279.

Adding to 2032133012 its reverse (2103312302), we get a palindrome (4135445314).

The spelling of 2032133012 in words is "two billion, thirty-two million, one hundred thirty-three thousand, twelve".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 197 221 238 364 394 442 476 788 884 1379 1547 1667 2561 2758 3094 3334 3349 5122 5516 6188 6668 6698 10244 11669 13396 17927 21671 23338 23443 28339 35854 43342 43537 46676 46886 56678 71708 86684 87074 93772 113356 151697 174148 198373 303394 304759 328399 368407 396746 606788 609518 656798 736814 793492 1219036 1313596 1473628 2298793 2578849 4269187 4597586 5157698 5582783 8538374 9195172 10315396 11165566 17076748 22331132 29884309 39079481 59768618 72576179 78158962 119537236 145152358 156317924 290304716 508033253 1016066506 2032133012