Search a number
-
+
1000000101012 = 2231180925793631
BaseRepresentation
bin11101000110101001010…
…01101001101010010100
310112121011201121120001020
432203110221221222110
5112341000011213022
62043221012401140
7132150635416353
oct16432451515224
93477151546036
101000000101012
11356108a94880
121419820161b0
13733b8302803
143658647199a
151b02b78635c
hexe8d4a69a94

1000000101012 has 96 divisors (see below), whose sum is σ = 2550291609600. Its totient is φ = 302455084800.

The previous prime is 1000000100909. The next prime is 1000000101013. The reversal of 1000000101012 is 2101010000001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000000101013) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 275404437 + ... + 275408067.

It is an arithmetic number, because the mean of its divisors is an integer number (26565537600).

Almost surely, 21000000101012 is an apocalyptic number.

1000000101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000000101012 is an abundant number, since it is smaller than the sum of its proper divisors (1550291508588).

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

1000000101012 is a wasteful number, since it uses less digits than its factorization.

1000000101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7037 (or 7035 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1000000101012 its reverse (2101010000001), we get a palindrome (3101010101013).

The spelling of 1000000101012 in words is "one trillion, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 809 1618 2427 2579 3236 3631 4854 5158 7262 7737 8899 9708 10316 10893 14524 15474 17798 21786 26697 28369 30948 35596 39941 43572 53394 56738 79882 85107 106788 113476 119823 159764 170214 239646 340428 479292 2086411 2937479 4172822 5874958 6259233 8345644 8812437 9364349 11749916 12518466 17624874 18728698 22950521 25036932 28093047 32312269 35249748 37457396 45901042 56186094 64624538 68851563 91802084 96936807 103007839 112372188 129249076 137703126 193873614 206015678 275406252 309023517 387747228 412031356 618047034 1236094068 7575758341 15151516682 22727275023 30303033364 45454550046 83333341751 90909100092 166666683502 250000025253 333333367004 500000050506 1000000101012