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10401332200 = 235277429523
BaseRepresentation
bin10011010111111011…
…11011101111101000
3222211212221102101221
421223331323233220
5132300220112300
64440040351424
7515516602450
oct115375735750
928755842357
1010401332200
11445830a916
122023475574
13c99ba724c
14709592d60
1540d23631a
hex26bf7bbe8

10401332200 has 48 divisors (see below), whose sum is σ = 27637829280. Its totient is φ = 3566170560.

The previous prime is 10401332171. The next prime is 10401332231. The reversal of 10401332200 is 223310401.

It is a happy number.

It is a super-3 number, since 3×104013322003 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3713362 + ... + 3716161.

It is an arithmetic number, because the mean of its divisors is an integer number (575788110).

Almost surely, 210401332200 is an apocalyptic number.

10401332200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10401332200 is an abundant number, since it is smaller than the sum of its proper divisors (17236497080).

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

10401332200 is a wasteful number, since it uses less digits than its factorization.

10401332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7429546 (or 7429537 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10401332200 its reverse (223310401), we get a palindrome (10624642601).

The spelling of 10401332200 in words is "ten billion, four hundred one million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 7429523 14859046 29718092 37147615 52006661 59436184 74295230 104013322 148590460 185738075 208026644 260033305 297180920 371476150 416053288 520066610 742952300 1040133220 1300166525 1485904600 2080266440 2600333050 5200666100 10401332200