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11210042400 = 253524670851
BaseRepresentation
bin10100111000010101…
…11010110000100000
31001221020200011020120
422130022322300200
5140424232324100
65052210040240
7544536534234
oct123412726040
931836604216
1011210042400
11483285a857
12220a279080
1310985b98ab
14784b485c4
1545922e0a0
hex29c2bac20

11210042400 has 72 divisors (see below), whose sum is σ = 36488695824. Its totient is φ = 2989344000.

The previous prime is 11210042387. The next prime is 11210042411. The reversal of 11210042400 is 424001211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11210042400.

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, 2333026 + ... + 2337825.

It is an arithmetic number, because the mean of its divisors is an integer number (506787442).

Almost surely, 211210042400 is an apocalyptic number.

11210042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11210042400 is an abundant number, since it is smaller than the sum of its proper divisors (25278653424).

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

11210042400 is a wasteful number, since it uses less digits than its factorization.

11210042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4670874 (or 4670861 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11210042400 its reverse (424001211), we get a palindrome (11634043611).

The spelling of 11210042400 in words is "eleven billion, two hundred ten million, forty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 4670851 9341702 14012553 18683404 23354255 28025106 37366808 46708510 56050212 70062765 74733616 93417020 112100424 116771275 140125530 149467232 186834040 224200848 233542550 280251060 350313825 373668080 448401696 467085100 560502120 700627650 747336160 934170200 1121004240 1401255300 1868340400 2242008480 2802510600 3736680800 5605021200 11210042400