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11272701200 = 245237761669
BaseRepresentation
bin10100111111110011…
…11100010100010000
31002002121120112221212
422133321330110100
5141041302414300
65102325035252
7546230244035
oct123771742420
932077515855
1011272701200
114865167292
122227255b28
1310a8587ac7
1478d1b938c
1545e9a9935
hex29fe7c510

11272701200 has 60 divisors (see below), whose sum is σ = 27814665060. Its totient is φ = 4387207680.

The previous prime is 11272701161. The next prime is 11272701239. The reversal of 11272701200 is 210727211.

It is an interprime number because it is at equal distance from previous prime (11272701161) and next prime (11272701239).

It can be written as a sum of positive squares in 6 ways, for example, as 1175666944 + 10097034256 = 34288^2 + 100484^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 366035 + ... + 395634.

It is an arithmetic number, because the mean of its divisors is an integer number (463577751).

Almost surely, 211272701200 is an apocalyptic number.

11272701200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11272701200 is an abundant number, since it is smaller than the sum of its proper divisors (16541963860).

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

11272701200 is a wasteful number, since it uses less digits than its factorization.

11272701200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761724 (or 761713 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 23.

The spelling of 11272701200 in words is "eleven billion, two hundred seventy-two million, seven hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 148 185 200 296 370 400 592 740 925 1480 1850 2960 3700 7400 14800 761669 1523338 3046676 3808345 6093352 7616690 12186704 15233380 19041725 28181753 30466760 38083450 56363506 60933520 76166900 112727012 140908765 152333800 225454024 281817530 304667600 450908048 563635060 704543825 1127270120 1409087650 2254540240 2818175300 5636350600 11272701200