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10297108200 = 2335238344809
BaseRepresentation
bin10011001011100000…
…10110011011101000
3222120121211021221210
421211300112123220
5132042024430300
64421434433120
7513112655421
oct114560263350
928517737853
1010297108200
1144044a3885
121bb45927a0
13c81414c42
146d97c2648
15403eea050
hex265c166e8

10297108200 has 96 divisors (see below), whose sum is σ = 32005094400. Its totient is φ = 2738664960.

The previous prime is 10297108193. The next prime is 10297108201. The reversal of 10297108200 is 280179201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10297108201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207396 + ... + 252204.

It is an arithmetic number, because the mean of its divisors is an integer number (333386400).

Almost surely, 210297108200 is an apocalyptic number.

10297108200 is a gapful number since it is divisible by the number (10) 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 10297108200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16002547200).

10297108200 is an abundant number, since it is smaller than the sum of its proper divisors (21707986200).

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

10297108200 is a wasteful number, since it uses less digits than its factorization.

10297108200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45211 (or 45202 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The spelling of 10297108200 in words is "ten billion, two hundred ninety-seven million, one hundred eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 383 600 766 1149 1532 1915 2298 3064 3830 4596 5745 7660 9192 9575 11490 15320 19150 22980 28725 38300 44809 45960 57450 76600 89618 114900 134427 179236 224045 229800 268854 358472 448090 537708 672135 896180 1075416 1120225 1344270 1792360 2240450 2688540 3360675 4480900 5377080 6721350 8961800 13442700 17161847 26885400 34323694 51485541 68647388 85809235 102971082 137294776 171618470 205942164 257427705 343236940 411884328 429046175 514855410 686473880 858092350 1029710820 1287138525 1716184700 2059421640 2574277050 3432369400 5148554100 10297108200