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10414202124012 = 22347154311966881
BaseRepresentation
bin1001011110001011111011…
…0100010111011011101100
31100212120212122121021102020
42113202332310113123230
52331111241220432022
634052115102030140
72123254431325551
oct227427664273354
940776778537366
1010414202124012
113355702668395
121202413278350
135a7093c2472b
1428009b580a28
15130d6d59835c
hex978bed176ec

10414202124012 has 48 divisors (see below), whose sum is σ = 24832907645952. Its totient is φ = 3395338928640.

The previous prime is 10414202123957. The next prime is 10414202124017. The reversal of 10414202124012 is 21042120241401.

It is a happy number.

It is a super-2 number, since 2×104142021240122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10414202124017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5113189 + ... + 6853692.

It is an arithmetic number, because the mean of its divisors is an integer number (517352242624).

Almost surely, 210414202124012 is an apocalyptic number.

10414202124012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10414202124012 is an abundant number, since it is smaller than the sum of its proper divisors (14418705521940).

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

10414202124012 is a wasteful number, since it uses less digits than its factorization.

10414202124012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11968478 (or 11968476 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 10414202124012 its reverse (21042120241401), we get a palindrome (31456322365413).

The spelling of 10414202124012 in words is "ten trillion, four hundred fourteen billion, two hundred two million, one hundred twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 564 1543 3086 4629 6172 9258 18516 72521 145042 217563 290084 435126 870252 11966881 23933762 35900643 47867524 71801286 143602572 562443407 1124886814 1687330221 2249773628 3374660442 6749320884 18464897383 36929794766 55394692149 73859589532 110789384298 221578768596 867850177001 1735700354002 2603550531003 3471400708004 5207101062006 10414202124012