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10100412340 = 22511319123399
BaseRepresentation
bin10010110100000100…
…00000111110110100
3222001220201002221221
421122002000332310
5131141201143330
64350130520124
7505204042204
oct113202007664
928056632857
1010100412340
114313468317
121b5a736044
13c4c746865
146bb620404
153e1ae4b7a
hex25a080fb4

10100412340 has 48 divisors (see below), whose sum is σ = 21511526400. Its totient is φ = 3983275520.

The previous prime is 10100412319. The next prime is 10100412401. The reversal of 10100412340 is 4321400101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419961 + ... + 443359.

It is an arithmetic number, because the mean of its divisors is an integer number (448156800).

Almost surely, 210100412340 is an apocalyptic number.

10100412340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100412340 is an abundant number, since it is smaller than the sum of its proper divisors (11411114060).

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

10100412340 is a wasteful number, since it uses less digits than its factorization.

10100412340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23712 (or 23710 counting only the distinct ones).

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

Adding to 10100412340 its reverse (4321400101), we get a palindrome (14421812441).

The spelling of 10100412340 in words is "ten billion, one hundred million, four hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 113 191 226 382 452 565 764 955 1130 1910 2260 3820 21583 23399 43166 46798 86332 93596 107915 116995 215830 233990 431660 467980 2644087 4469209 5288174 8938418 10576348 13220435 17876836 22346045 26440870 44692090 52881740 89384180 505020617 1010041234 2020082468 2525103085 5050206170 10100412340