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10011010344 = 2334173139367
BaseRepresentation
bin10010101001011001…
…11110010100101000
3221211200111000110220
421110230332110220
5131000304312334
64333214410040
7503040120036
oct112454762450
927750430426
1010011010344
114277a55275
121b34800920
13c37073b7a
146ad7cb556
153d8d35449
hex254b3e528

10011010344 has 64 divisors (see below), whose sum is σ = 25989344640. Its totient is φ = 3210992640.

The previous prime is 10011010297. The next prime is 10011010349. The reversal of 10011010344 is 44301011001.

It is not an unprimeable number, because it can be changed into a prime (10011010349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2149 + ... + 141515.

It is an arithmetic number, because the mean of its divisors is an integer number (406083510).

Almost surely, 210011010344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011010344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12994672320).

10011010344 is an abundant number, since it is smaller than the sum of its proper divisors (15978334296).

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

10011010344 is a wasteful number, since it uses less digits than its factorization.

10011010344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139490 (or 139486 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10011010344 its reverse (44301011001), we get a palindrome (54312021345).

The spelling of 10011010344 in words is "ten billion, eleven million, ten thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 41 73 82 123 146 164 219 246 292 328 438 492 584 876 984 1752 2993 5986 8979 11972 17958 23944 35916 71832 139367 278734 418101 557468 836202 1114936 1672404 3344808 5714047 10173791 11428094 17142141 20347582 22856188 30521373 34284282 40695164 45712376 61042746 68568564 81390328 122085492 137137128 244170984 417125431 834250862 1251376293 1668501724 2502752586 3337003448 5005505172 10011010344