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10401013200 = 243528667511
BaseRepresentation
bin10011010111111001…
…01101110111010000
3222211212100012211010
421223330231313100
5132300124410300
64440025450520
7515514103434
oct115374556720
928755305733
1010401013200
114458112186
122023340a40
13c99ac4ca6
1470950c9c4
1540d1c1a50
hex26bf2ddd0

10401013200 has 60 divisors (see below), whose sum is σ = 33317916128. Its totient is φ = 2773603200.

The previous prime is 10401013177. The next prime is 10401013223. The reversal of 10401013200 is 231010401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10401013177) and next prime (10401013223).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 4332556 + ... + 4334955.

Almost surely, 210401013200 is an apocalyptic number.

10401013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10401013200 is an abundant number, since it is smaller than the sum of its proper divisors (22916902928).

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

10401013200 is a wasteful number, since it uses less digits than its factorization.

10401013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8667532 (or 8667521 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10401013200 its reverse (231010401), we get a palindrome (10632023601).

The spelling of 10401013200 in words is "ten billion, four hundred one million, thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 8667511 17335022 26002533 34670044 43337555 52005066 69340088 86675110 104010132 130012665 138680176 173350220 208020264 216687775 260025330 346700440 416040528 433375550 520050660 650063325 693400880 866751100 1040101320 1300126650 1733502200 2080202640 2600253300 3467004400 5200506600 10401013200