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10083770430 = 235834049707
BaseRepresentation
bin10010110010000101…
…00010000000111110
3222000202101121112220
421121002202000332
5131122421123210
64344334110210
7504612430416
oct113102420076
928022347486
1010083770430
114305030a78
121b5504b366
13c4916aa86
146b932b646
153e0408c70
hex2590a203e

10083770430 has 32 divisors (see below), whose sum is σ = 24492633984. Its totient is φ = 2656607136.

The previous prime is 10083770413. The next prime is 10083770443. The reversal of 10083770430 is 3407738001.

It is a junction number, because it is equal to n+sod(n) for n = 10083770391 and 10083770400.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2022364 + ... + 2027343.

It is an arithmetic number, because the mean of its divisors is an integer number (765394812).

Almost surely, 210083770430 is an apocalyptic number.

10083770430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10083770430 is an abundant number, since it is smaller than the sum of its proper divisors (14408863554).

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

10083770430 is a wasteful number, since it uses less digits than its factorization.

10083770430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049800.

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 10083770430 in words is "ten billion, eighty-three million, seven hundred seventy thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 83 166 249 415 498 830 1245 2490 4049707 8099414 12149121 20248535 24298242 40497070 60745605 121491210 336125681 672251362 1008377043 1680628405 2016754086 3361256810 5041885215 10083770430