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2000991213 = 3213192931039
BaseRepresentation
bin111011101000100…
…1011001111101101
312011110012212220200
41313101023033231
513044223204323
6530320104113
7100405100424
oct16721131755
95143185820
102000991213
11937564351
1247a165039
1325b733590
1414da762bb
15baa0b443
hex7744b3ed

2000991213 has 48 divisors (see below), whose sum is σ = 3389568000. Its totient is φ = 1126306944.

The previous prime is 2000991199. The next prime is 2000991217. The reversal of 2000991213 is 3121990002.

It is not a de Polignac number, because 2000991213 - 26 = 2000991149 is a prime.

It is a super-2 number, since 2×20009912132 = 8007931669006422738, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000991217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48948 + ... + 79986.

It is an arithmetic number, because the mean of its divisors is an integer number (70616000).

Almost surely, 22000991213 is an apocalyptic number.

It is an amenable number.

2000991213 is a deficient number, since it is larger than the sum of its proper divisors (1388576787).

2000991213 is a wasteful number, since it uses less digits than its factorization.

2000991213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31106 (or 31103 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 2000991213 is about 44732.4402754869. The cubic root of 2000991213 is about 1260.1291572062.

The spelling of 2000991213 in words is "two billion, nine hundred ninety-one thousand, two hundred thirteen".

Divisors: 1 3 9 13 19 29 39 57 87 117 171 247 261 377 551 741 1131 1653 2223 3393 4959 7163 21489 31039 64467 93117 279351 403507 589741 900131 1210521 1769223 2700393 3631563 5307669 7666633 8101179 11701703 17102489 22999899 35105109 51307467 68999697 105315327 153922401 222332357 666997071 2000991213