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2100345148 = 2211435691951
BaseRepresentation
bin111110100110000…
…1011100100111100
312102101011120220001
41331030023210330
513300142021043
6544225404044
7103022432146
oct17514134474
95371146801
102100345148
11988654440
124a7499624
132761abca5
1415cd39c96
15c45d474d
hex7d30b93c

2100345148 has 48 divisors (see below), whose sum is σ = 4112317440. Its totient is φ = 930384000.

The previous prime is 2100345133. The next prime is 2100345161. The reversal of 2100345148 is 8415430012.

It is a super-2 number, since 2×21003451482 = 8822899481454283808, which contains 22 as substring.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1075573 + ... + 1077523.

It is an arithmetic number, because the mean of its divisors is an integer number (85673280).

Almost surely, 22100345148 is an apocalyptic number.

It is an amenable number.

2100345148 is a deficient number, since it is larger than the sum of its proper divisors (2011972292).

2100345148 is a wasteful number, since it uses less digits than its factorization.

2100345148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 2100345148 is about 45829.5226682539. The cubic root of 2100345148 is about 1280.6493181820.

The spelling of 2100345148 in words is "two billion, one hundred million, three hundred forty-five thousand, one hundred forty-eight".

Divisors: 1 2 4 11 22 43 44 86 172 473 569 946 1138 1892 1951 2276 3902 6259 7804 12518 21461 24467 25036 42922 48934 83893 85844 97868 167786 269137 335572 538274 922823 1076548 1110119 1845646 2220238 3691292 4440476 12211309 24422618 47735117 48845236 95470234 190940468 525086287 1050172574 2100345148