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10213411404 = 22373115672503
BaseRepresentation
bin10011000001100010…
…00100101001001100
3222100210100001112110
421200301010221030
5131404113131104
64405244504020
7511045364430
oct114061045114
928323301473
1010213411404
114371228179
121b9054b010
13c69c8c001
146cc6369c0
153eb9b5e89
hex260c44a4c

10213411404 has 96 divisors (see below), whose sum is σ = 28143517696. Its totient is φ = 2821055040.

The previous prime is 10213411393. The next prime is 10213411423. The reversal of 10213411404 is 40411431201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4079217 + ... + 4081719.

Almost surely, 210213411404 is an apocalyptic number.

10213411404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10213411404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14071758848).

10213411404 is an abundant number, since it is smaller than the sum of its proper divisors (17930106292).

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

10213411404 is a wasteful number, since it uses less digits than its factorization.

10213411404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4115 (or 4113 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10213411404 its reverse (40411431201), we get a palindrome (50624842605).

The spelling of 10213411404 in words is "ten billion, two hundred thirteen million, four hundred eleven thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 1567 2503 2604 3134 4701 5006 6268 7509 9402 10012 10969 15018 17521 18804 21938 30036 32907 35042 43876 48577 52563 65814 70084 77593 97154 105126 131628 145731 155186 194308 210252 232779 291462 310372 340039 465558 543151 582924 680078 931116 1020117 1086302 1360156 1629453 2040234 2172604 3258906 3922201 4080468 6517812 7844402 11766603 15688804 23533206 27455407 47066412 54910814 82366221 109821628 121588231 164732442 243176462 329464884 364764693 486352924 729529386 851117617 1459058772 1702235234 2553352851 3404470468 5106705702 10213411404