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2102133348 = 2232714515749
BaseRepresentation
bin111110101001100…
…0000001001100100
312102111112102211200
41331103000021210
513301121231343
6544332002500
7103043560440
oct17523001144
95374472750
102102133348
11989665997
124a8000430
13276686bb3
1415d283820
15c48394d3
hex7d4c0264

2102133348 has 72 divisors (see below), whose sum is σ = 6078072000. Its totient is φ = 600091200.

The previous prime is 2102133347. The next prime is 2102133359. The reversal of 2102133348 is 8433312012.

It is a super-2 number, since 2×21021333482 = 8837929225547378208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2102133347) 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 23 ways as a sum of consecutive naturals, for example, 362778 + ... + 368526.

Almost surely, 22102133348 is an apocalyptic number.

2102133348 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2102133348 is an abundant number, since it is smaller than the sum of its proper divisors (3975938652).

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

2102133348 is a wasteful number, since it uses less digits than its factorization.

2102133348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7217 (or 7212 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2102133348 is about 45849.0277759518. The cubic root of 2102133348 is about 1281.0126564829.

The spelling of 2102133348 in words is "two billion, one hundred two million, one hundred thirty-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1451 2902 4353 5749 5804 8706 10157 11498 13059 17247 17412 20314 22996 26118 30471 34494 40243 40628 51741 52236 60942 68988 80486 91413 103482 120729 121884 160972 182826 206964 241458 362187 365652 482916 724374 1448748 8341799 16683598 25025397 33367196 50050794 58392593 75076191 100101588 116785186 150152382 175177779 233570372 300304764 350355558 525533337 700711116 1051066674 2102133348