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2013265332 = 22321343100043
BaseRepresentation
bin111011111111111…
…1111110110110100
312012022022110211200
41313333333312310
513110343442312
6531435132500
7100614321141
oct16777776664
95168273750
102013265332
11943488051
124822a4130
13261140280
1415154d3c8
15bbb330dc
hex77fffdb4

2013265332 has 72 divisors (see below), whose sum is σ = 5608066464. Its totient is φ = 605054016.

The previous prime is 2013265301. The next prime is 2013265343. The reversal of 2013265332 is 2335623102.

2013265332 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 2 + 653 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2013265296 and 2013265305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29898 + ... + 70145.

It is an arithmetic number, because the mean of its divisors is an integer number (77889812).

Almost surely, 22013265332 is an apocalyptic number.

It is an amenable number.

2013265332 is an abundant number, since it is smaller than the sum of its proper divisors (3594801132).

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

2013265332 is a wasteful number, since it uses less digits than its factorization.

2013265332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100109 (or 100104 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 2013265332 is about 44869.4253584777. The cubic root of 2013265332 is about 1262.7004591279.

Adding to 2013265332 its reverse (2335623102), we get a palindrome (4348888434).

It can be divided in two parts, 20132653 and 32, that added together give a triangular number (20132685 = T6345).

The spelling of 2013265332 in words is "two billion, thirteen million, two hundred sixty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 78 86 117 129 156 172 234 258 387 468 516 559 774 1118 1548 1677 2236 3354 5031 6708 10062 20124 100043 200086 300129 400172 600258 900387 1200516 1300559 1800774 2601118 3601548 3901677 4301849 5202236 7803354 8603698 11705031 12905547 15606708 17207396 23410062 25811094 38716641 46820124 51622188 55924037 77433282 111848074 154866564 167772111 223696148 335544222 503316333 671088444 1006632666 2013265332