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10204144332 = 223191013471277
BaseRepresentation
bin10011000000011011…
…01110001011001100
3222100010220020111120
421200031232023030
5131344230104312
64404314120540
7510603536634
oct114015561314
928303806446
1010204144332
114366a78738
121b89420150
13c68095c35
146cb3036c4
153eac8528c
hex26036e2cc

10204144332 has 96 divisors (see below), whose sum is σ = 25403777280. Its totient is φ = 3178771200.

The previous prime is 10204144309. The next prime is 10204144337. The reversal of 10204144332 is 23344140201.

It is not an unprimeable number, because it can be changed into a prime (10204144337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7990078 + ... + 7991354.

It is an arithmetic number, because the mean of its divisors is an integer number (264622680).

Almost surely, 210204144332 is an apocalyptic number.

10204144332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10204144332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12701888640).

10204144332 is an abundant number, since it is smaller than the sum of its proper divisors (15199632948).

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

10204144332 is a wasteful number, since it uses less digits than its factorization.

10204144332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10204144332 its reverse (23344140201), we get a palindrome (33548284533).

The spelling of 10204144332 in words is "ten billion, two hundred four million, one hundred forty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 101 114 202 228 303 347 404 606 694 1041 1212 1277 1388 1919 2082 2554 3831 3838 4164 5108 5757 6593 7662 7676 11514 13186 15324 19779 23028 24263 26372 35047 39558 48526 70094 72789 79116 97052 105141 128977 140188 145578 210282 257954 291156 386931 420564 443119 515908 665893 773862 886238 1329357 1331786 1547724 1772476 1997679 2450563 2658714 2663572 3995358 4901126 5317428 7351689 7990716 8419261 9802252 14703378 16838522 25257783 29406756 33677044 44755019 50515566 89510038 101031132 134265057 179020076 268530114 537060228 850345361 1700690722 2551036083 3401381444 5102072166 10204144332