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10109509332 = 22313238273407
BaseRepresentation
bin10010110101001001…
…01101111011010100
3222002112211021200120
421122210231323110
5131201013244312
64351053511540
7505344261066
oct113244557324
928075737616
1010109509332
114318610a9a
121b617a25b0
13c515b03b0
146bc90b736
153e27e028c
hex25a92ded4

10109509332 has 96 divisors (see below), whose sum is σ = 26547720192. Its totient is φ = 2970903936.

The previous prime is 10109509307. The next prime is 10109509373. The reversal of 10109509332 is 23390590101.

It is a junction number, because it is equal to n+sod(n) for n = 10109509293 and 10109509302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2965573 + ... + 2968979.

It is an arithmetic number, because the mean of its divisors is an integer number (276538752).

Almost surely, 210109509332 is an apocalyptic number.

10109509332 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 10109509332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13273860096).

10109509332 is an abundant number, since it is smaller than the sum of its proper divisors (16438210860).

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

10109509332 is a wasteful number, since it uses less digits than its factorization.

10109509332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4277 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 33.

The spelling of 10109509332 in words is "ten billion, one hundred nine million, five hundred nine thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 827 897 1196 1654 1794 2481 3308 3407 3588 4962 6814 9924 10221 10751 13628 19021 20442 21502 32253 38042 40884 43004 44291 57063 64506 76084 78361 88582 114126 129012 132873 156722 177164 228252 235083 247273 265746 313444 470166 494546 531492 741819 940332 989092 1018693 1483638 2037386 2817589 2967276 3056079 4074772 5635178 6112158 8452767 11270356 12224316 16905534 33811068 36628657 64804547 73257314 109885971 129609094 146514628 194413641 219771942 259218188 388827282 439543884 777654564 842459111 1684918222 2527377333 3369836444 5054754666 10109509332