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126063000381 = 3531579502121
BaseRepresentation
bin111010101100111110…
…0001011101100111101
3110001101112202221110010
41311121330023230331
54031134112003011
6133525035333433
712051646552233
oct1653174135475
9401345687403
10126063000381
114951030603a
12205222b1279
13bb70340966
14615c674953
15342c3d51a6
hex1d59f0bb3d

126063000381 has 16 divisors (see below), whose sum is σ = 171364196160. Its totient is φ = 82403917440.

The previous prime is 126063000347. The next prime is 126063000397. The reversal of 126063000381 is 183000360621.

126063000381 is a nontrivial binomial coefficient, being equal to C(502122, 2).

It is not a de Polignac number, because 126063000381 - 26 = 126063000317 is a prime.

It is a super-2 number, since 2×1260630003812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126063000281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 502121.

It is an arithmetic number, because the mean of its divisors is an integer number (10710262260).

Almost surely, 2126063000381 is an apocalyptic number.

126063000381 is the 502121-st triangular number and also the 251061-st hexagonal number.

It is an amenable number.

126063000381 is a deficient number, since it is larger than the sum of its proper divisors (45301195779).

126063000381 is a wasteful number, since it uses less digits than its factorization.

126063000381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503756.

The product of its (nonzero) digits is 5184, while the sum is 30.

It can be divided in two parts, 126063000 and 381, that added together give a triangular number (126063381 = T15878).

The spelling of 126063000381 in words is "one hundred twenty-six billion, sixty-three million, three hundred eighty-one", and thus it is an aban number.

Divisors: 1 3 53 159 1579 4737 83687 251061 502121 1506363 26612413 79837239 792849059 2378547177 42021000127 126063000381