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10314400212 = 2232793626723
BaseRepresentation
bin10011001101100100…
…10100000111010100
3222121211100211010200
421212302110013110
5132110441301322
64423253220500
7513412645434
oct114662240724
928554324120
1010314400212
1144132345a6
121bba331730
13c84b8a8bc
146dbc042c4
154057b38ac
hex266c941d4

10314400212 has 36 divisors (see below), whose sum is σ = 26402550720. Its totient is φ = 3394611792.

The previous prime is 10314400081. The next prime is 10314400219. The reversal of 10314400212 is 21200441301.

10314400212 is a `hidden beast` number, since 10 + 3 + 1 + 440 + 0 + 212 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10314400219) 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, 1810518 + ... + 1816205.

Almost surely, 210314400212 is an apocalyptic number.

10314400212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10314400212 is an abundant number, since it is smaller than the sum of its proper divisors (16088150508).

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

10314400212 is a wasteful number, since it uses less digits than its factorization.

10314400212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626812 (or 3626807 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10314400212 its reverse (21200441301), we get a palindrome (31514841513).

The spelling of 10314400212 in words is "ten billion, three hundred fourteen million, four hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1422 2844 3626723 7253446 10880169 14506892 21760338 32640507 43520676 65281014 130562028 286511117 573022234 859533351 1146044468 1719066702 2578600053 3438133404 5157200106 10314400212