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10110324400 = 2452112208891
BaseRepresentation
bin10010110101001111…
…10100111010110000
3222002121100200202021
421122213310322300
5131201220340100
64351123201224
7505354224301
oct113247647260
928077320667
1010110324400
114319018400
121b61b16214
13c51807397
146bca807a8
153e2901a1a
hex25a9f4eb0

10110324400 has 90 divisors (see below), whose sum is σ = 26699113196. Its totient is φ = 3676464000.

The previous prime is 10110324397. The next prime is 10110324401. The reversal of 10110324400 is 442301101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10110324401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56046 + ... + 152845.

Almost surely, 210110324400 is an apocalyptic number.

10110324400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110324400 is an abundant number, since it is smaller than the sum of its proper divisors (16588788796).

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

10110324400 is a wasteful number, since it uses less digits than its factorization.

10110324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208931 (or 208909 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10110324400 its reverse (442301101), we get a palindrome (10552625501).

The spelling of 10110324400 in words is "ten billion, one hundred ten million, three hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 176 200 220 242 275 400 440 484 550 605 880 968 1100 1210 1936 2200 2420 3025 4400 4840 6050 9680 12100 24200 48400 208891 417782 835564 1044455 1671128 2088910 2297801 3342256 4177820 4595602 5222275 8355640 9191204 10444550 11489005 16711280 18382408 20889100 22978010 25275811 36764816 41778200 45956020 50551622 57445025 83556400 91912040 101103244 114890050 126379055 183824080 202206488 229780100 252758110 404412976 459560200 505516220 631895275 919120400 1011032440 1263790550 2022064880 2527581100 5055162200 10110324400