Search a number
-
+
10214212523310 = 233537830416753
BaseRepresentation
bin1001010010100010111010…
…0000100101010100101110
31100011110200000212221002000
42110220232200211110232
52314322201401221220
633420202222513130
72102644464633315
oct224505640452456
940143600787060
1010214212523310
11328890675a354
12118b6bb1357a6
13591271b06ab3
14274528a0927c
1512aa65eca390
hex94a2e82552e

10214212523310 has 32 divisors (see below), whose sum is σ = 27237900062880. Its totient is φ = 2723790006144.

The previous prime is 10214212523309. The next prime is 10214212523321. The reversal of 10214212523310 is 1332521241201.

It is a happy number.

10214212523310 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 421 + 2 + 5 + 233 + 1 + 0 = 666.

It is a super-2 number, since 2×102142125233102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18915208107 + ... + 18915208646.

It is an arithmetic number, because the mean of its divisors is an integer number (851184376965).

Almost surely, 210214212523310 is an apocalyptic number.

10214212523310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10214212523310 is an abundant number, since it is smaller than the sum of its proper divisors (17023687539570).

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

10214212523310 is a wasteful number, since it uses less digits than its factorization.

10214212523310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37830416769 (or 37830416763 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 10214212523310 its reverse (1332521241201), we get a palindrome (11546733764511).

The spelling of 10214212523310 in words is "ten trillion, two hundred fourteen billion, two hundred twelve million, five hundred twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 37830416753 75660833506 113491250259 189152083765 226982500518 340473750777 378304167530 567456251295 680947501554 1021421252331 1134912502590 1702368753885 2042842504662 3404737507770 5107106261655 10214212523310