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10372100096 = 2122923011
BaseRepresentation
bin10011010100011100…
…11011000000000000
3222202211221021111102
421222032123000000
5132220224200341
64433114033532
7515013252611
oct115216330000
928684837442
1010372100096
114442864356
1220157188a8
13c93b10947
14705743c08
1540a8aec9b
hex26a39b000

10372100096 has 78 divisors (see below), whose sum is σ = 21488695332. Its totient is φ = 5005557760.

The previous prime is 10372100093. The next prime is 10372100191. The reversal of 10372100096 is 69000127301.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (10372100093) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3443231 + ... + 3446241.

It is an arithmetic number, because the mean of its divisors is an integer number (275496094).

Almost surely, 210372100096 is an apocalyptic number.

10372100096 is a gapful number since it is divisible by the number (16) 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 10372100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10744347666).

10372100096 is an abundant number, since it is smaller than the sum of its proper divisors (11116595236).

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

10372100096 is an frugal number, since it uses more digits than its factorization.

10372100096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

Adding to 10372100096 its reverse (69000127301), we get a palindrome (79372227397).

The spelling of 10372100096 in words is "ten billion, three hundred seventy-two million, one hundred thousand, ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 841 928 1024 1682 1856 2048 3011 3364 3712 4096 6022 6728 7424 12044 13456 14848 24088 26912 29696 48176 53824 59392 87319 96352 107648 118784 174638 192704 215296 349276 385408 430592 698552 770816 861184 1397104 1541632 1722368 2532251 2794208 3083264 3444736 5064502 5588416 6166528 10129004 11176832 12333056 20258008 22353664 40516016 44707328 81032032 89414656 162064064 178829312 324128128 357658624 648256256 1296512512 2593025024 5186050048 10372100096