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10412103400 = 2352371407041
BaseRepresentation
bin10011011001001110…
…00001011011101000
3222212122012122201021
421230213001123220
5132310444302100
64441103302224
7516010263406
oct115447013350
928778178637
1010412103400
1144633a7436
122026baa974
13c9c1a8b3a
1470ab98476
1540e162a1a
hex26c9c16e8

10412103400 has 48 divisors (see below), whose sum is σ = 24862432140. Its totient is φ = 4052275200.

The previous prime is 10412103389. The next prime is 10412103409. The reversal of 10412103400 is 430121401.

It can be written as a sum of positive squares in 6 ways, for example, as 8763580996 + 1648522404 = 93614^2 + 40602^2 .

It is not an unprimeable number, because it can be changed into a prime (10412103409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 696121 + ... + 710920.

Almost surely, 210412103400 is an apocalyptic number.

10412103400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10412103400 is an abundant number, since it is smaller than the sum of its proper divisors (14450328740).

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

10412103400 is a wasteful number, since it uses less digits than its factorization.

10412103400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407094 (or 1407085 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10412103400 its reverse (430121401), we get a palindrome (10842224801).

The spelling of 10412103400 in words is "ten billion, four hundred twelve million, one hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1480 1850 3700 7400 1407041 2814082 5628164 7035205 11256328 14070410 28140820 35176025 52060517 56281640 70352050 104121034 140704100 208242068 260302585 281408200 416484136 520605170 1041210340 1301512925 2082420680 2603025850 5206051700 10412103400