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2123498052 = 2233135212903
BaseRepresentation
bin111111010010010…
…0000001001000100
312110222201212201000
41332210200021010
513322103414202
6550413533300
7103423302264
oct17644401104
95428655630
102123498052
1199a728575
124b31a4230
1327ac27530
141620457a4
15c665991c
hex7e920244

2123498052 has 96 divisors (see below), whose sum is σ = 5942280960. Its totient is φ = 651905280.

The previous prime is 2123498021. The next prime is 2123498063. The reversal of 2123498052 is 2508943212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2123497998 and 2123498016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 730033 + ... + 732935.

It is an arithmetic number, because the mean of its divisors is an integer number (61898760).

Almost surely, 22123498052 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 2123498052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971140480).

2123498052 is an abundant number, since it is smaller than the sum of its proper divisors (3818782908).

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

2123498052 is a wasteful number, since it uses less digits than its factorization.

2123498052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3450 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2123498052 is about 46081.4284934831. The cubic root of 2123498052 is about 1285.3378273707.

The spelling of 2123498052 in words is "two billion, one hundred twenty-three million, four hundred ninety-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 521 702 1042 1404 1563 2084 2903 3126 4689 5806 6252 6773 8709 9378 11612 13546 14067 17418 18756 20319 26127 27092 28134 34836 37739 40638 52254 56268 60957 75478 78381 81276 104508 113217 121914 150956 156762 182871 226434 243828 313524 339651 365742 452868 679302 731484 1018953 1358604 1512463 2037906 3024926 4075812 4537389 6049852 9074778 13612167 18149556 19662019 27224334 39324038 40836501 54448668 58986057 78648076 81673002 117972114 163346004 176958171 235944228 353916342 530874513 707832684 1061749026 2123498052