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101214001012 = 221031132239749
BaseRepresentation
bin101111001000011010…
…0110001011101110100
3100200020202222222120011
41132100310301131310
53124241241013022
6114255211150004
710212114546025
oct1362064613564
9320222888504
10101214001012
1139a19735023
1217748445304
139710196937
144c82396c4c
152975add977
hex1790d31774

101214001012 has 48 divisors (see below), whose sum is σ = 181254528000. Its totient is φ = 49444351488.

The previous prime is 101214000983. The next prime is 101214001019. The reversal of 101214001012 is 210100412101.

It is a junction number, because it is equal to n+sod(n) for n = 101214000983 and 101214001001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101214001019) 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 15 ways as a sum of consecutive naturals, for example, 10377114 + ... + 10386862.

It is an arithmetic number, because the mean of its divisors is an integer number (3776136000).

Almost surely, 2101214001012 is an apocalyptic number.

It is an amenable number.

101214001012 is a deficient number, since it is larger than the sum of its proper divisors (80040526988).

101214001012 is a wasteful number, since it uses less digits than its factorization.

101214001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10192 (or 10190 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101214001012 its reverse (210100412101), we get a palindrome (311314413113).

The spelling of 101214001012 in words is "one hundred one billion, two hundred fourteen million, one thousand, twelve".

Divisors: 1 2 4 103 113 206 223 226 412 446 452 892 9749 11639 19498 22969 23278 25199 38996 45938 46556 50398 91876 100796 1004147 1101637 2008294 2174027 2203274 2595497 4016588 4348054 4406548 5190994 8696108 10381988 113468611 223924781 226937222 245665051 447849562 453874444 491330102 895699124 982660204 25303500253 50607000506 101214001012