Search a number
-
+
10202232314412 = 22321564911810937
BaseRepresentation
bin1001010001110110010001…
…1011101101101000101100
31100010022202010000021000100
42110131210123231220230
52314123132433030122
633410501341231100
72102041553555505
oct224354433555054
940108663007010
1010202232314412
113283819196066
121189316b62490
135900b2ab15a8
14273b0d89dbac
1512a5b4368aac
hex947646eda2c

10202232314412 has 36 divisors (see below), whose sum is σ = 25789155164136. Its totient is φ = 3400720495680.

The previous prime is 10202232314369. The next prime is 10202232314423. The reversal of 10202232314412 is 21441323220201.

10202232314412 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 2 + 232 + 3 + 14 + 412 = 666.

10202232314412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 4728208 + ... + 6539144.

It is an arithmetic number, because the mean of its divisors is an integer number (716365421226).

Almost surely, 210202232314412 is an apocalyptic number.

10202232314412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10202232314412 is an abundant number, since it is smaller than the sum of its proper divisors (15586922849724).

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

10202232314412 is a wasteful number, since it uses less digits than its factorization.

10202232314412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967438 (or 1967433 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10202232314412 its reverse (21441323220201), we get a palindrome (31643555534613).

The spelling of 10202232314412 in words is "ten trillion, two hundred two billion, two hundred thirty-two million, three hundred fourteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 156491 312982 469473 625964 938946 1408419 1810937 1877892 2816838 3621874 5432811 5633676 7243748 10865622 16298433 21731244 32596866 65193732 283395342067 566790684134 850186026201 1133581368268 1700372052402 2550558078603 3400744104804 5101116157206 10202232314412