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2101292740 = 225831996361
BaseRepresentation
bin111110100111111…
…0010111011000100
312102102221201202001
41331033302323010
513300412331430
6544301555044
7103033456621
oct17517627304
95372851661
102101292740
11989141378
124a7875a84
132764513b1
1415d105348
15c47203ca
hex7d3f2ec4

2101292740 has 48 divisors (see below), whose sum is σ = 4489027200. Its totient is φ = 826087680.

The previous prime is 2101292717. The next prime is 2101292741. The reversal of 2101292740 is 472921012.

It is a junction number, because it is equal to n+sod(n) for n = 2101292699 and 2101292708.

It is not an unprimeable number, because it can be changed into a prime (2101292741) 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 15 ways as a sum of consecutive naturals, for example, 327160 + ... + 333520.

It is an arithmetic number, because the mean of its divisors is an integer number (93521400).

Almost surely, 22101292740 is an apocalyptic number.

2101292740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101292740 is an abundant number, since it is smaller than the sum of its proper divisors (2387734460).

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

2101292740 is a wasteful number, since it uses less digits than its factorization.

2101292740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6652 (or 6650 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 2101292740 is about 45839.8597292793. The cubic root of 2101292740 is about 1280.8418818655.

The spelling of 2101292740 in words is "two billion, one hundred one million, two hundred ninety-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 83 166 199 332 398 415 796 830 995 1660 1990 3980 6361 12722 16517 25444 31805 33034 63610 66068 82585 127220 165170 330340 527963 1055926 1265839 2111852 2531678 2639815 5063356 5279630 6329195 10559260 12658390 25316780 105064637 210129274 420258548 525323185 1050646370 2101292740