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2132112324 = 2231747673319
BaseRepresentation
bin111111100010101…
…0111001111000100
312111120221112021010
41333011113033010
513331310043244
6551322322220
7103556440626
oct17705271704
95446845233
102132112324
119a4581601
124b6059370
1327c952434
14163248c16
15c72abeb9
hex7f1573c4

2132112324 has 96 divisors (see below), whose sum is σ = 5461585920. Its totient is φ = 644700672.

The previous prime is 2132112319. The next prime is 2132112329. The reversal of 2132112324 is 4232112312.

It is an interprime number because it is at equal distance from previous prime (2132112319) and next prime (2132112329).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2132112324.

It is not an unprimeable number, because it can be changed into a prime (2132112329) 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, 640737 + ... + 644055.

It is an arithmetic number, because the mean of its divisors is an integer number (56891520).

Almost surely, 22132112324 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 2132112324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730792960).

2132112324 is an abundant number, since it is smaller than the sum of its proper divisors (3329473596).

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

2132112324 is a wasteful number, since it uses less digits than its factorization.

2132112324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3457 (or 3455 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 2132112324 is about 46174.8018295693. The cubic root of 2132112324 is about 1287.0735343638.

Adding to 2132112324 its reverse (4232112312), we get a palindrome (6364224636).

The spelling of 2132112324 in words is "two billion, one hundred thirty-two million, one hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 47 51 67 68 94 102 134 141 188 201 204 268 282 402 564 799 804 1139 1598 2278 2397 3149 3196 3319 3417 4556 4794 6298 6638 6834 9447 9588 9957 12596 13276 13668 18894 19914 37788 39828 53533 56423 107066 112846 155993 160599 169269 214132 222373 225692 311986 321198 338538 444746 467979 623972 642396 667119 677076 889492 935958 1334238 1871916 2651881 2668476 3780341 5303762 7560682 7955643 10451531 10607524 11341023 15121364 15911286 20903062 22682046 31354593 31822572 41806124 45364092 62709186 125418372 177676027 355352054 533028081 710704108 1066056162 2132112324