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10299610400 = 255212874513
BaseRepresentation
bin10011001011110011…
…11001010100100000
3222120210112102022212
421211321321110200
5132043200013100
64422004221252
7513143146442
oct114571712440
928523472285
1010299610400
114405952812
121bb539a828
13c81aacb31
146d9c74492
15404341635
hex265e79520

10299610400 has 36 divisors (see below), whose sum is σ = 25143925842. Its totient is φ = 4119843840.

The previous prime is 10299610397. The next prime is 10299610411. The reversal of 10299610400 is 401699201.

It can be written as a sum of positive squares in 3 ways, for example, as 6376341904 + 3923268496 = 79852^2 + 62636^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6436457 + ... + 6438056.

Almost surely, 210299610400 is an apocalyptic number.

10299610400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10299610400 is an abundant number, since it is smaller than the sum of its proper divisors (14844315442).

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

10299610400 is a wasteful number, since it uses less digits than its factorization.

10299610400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12874533 (or 12874520 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 10299610400 in words is "ten billion, two hundred ninety-nine million, six hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 12874513 25749026 51498052 64372565 102996104 128745130 205992208 257490260 321862825 411984416 514980520 643725650 1029961040 1287451300 2059922080 2574902600 5149805200 10299610400