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1051513132212 = 223282157416197
BaseRepresentation
bin11110100110100110001…
…00010001010010110100
310201112010202110200021200
433103103010101102310
5114211444330212322
62123020343412500
7135653322102654
oct17232304212264
93645122420250
101051513132212
11375a42828634
1214b959754130
1378207677c6a
1438c71ad8364
151c543d9b8ac
hexf4d31114b4

1051513132212 has 72 divisors (see below), whose sum is σ = 2662122094632. Its totient is φ = 349959993600.

The previous prime is 1051513132181. The next prime is 1051513132213. The reversal of 1051513132212 is 2122313151501.

1051513132212 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 513 + 132 + 2 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50500876176 + 1001012256036 = 224724^2 + 1000506^2 .

It is a super-2 number, since 2×10515131322122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051513132213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169677898 + ... + 169684094.

It is an arithmetic number, because the mean of its divisors is an integer number (36973917981).

Almost surely, 21051513132212 is an apocalyptic number.

1051513132212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1051513132212 is an abundant number, since it is smaller than the sum of its proper divisors (1610608962420).

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

1051513132212 is a wasteful number, since it uses less digits than its factorization.

1051513132212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12769 (or 12764 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 1051513132212 its reverse (2122313151501), we get a palindrome (3173826283713).

The spelling of 1051513132212 in words is "one trillion, fifty-one billion, five hundred thirteen million, one hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 821 1642 2463 3284 4926 5741 6197 7389 9852 11482 12394 14778 17223 18591 22964 24788 29556 34446 37182 51669 55773 68892 74364 103338 111546 206676 223092 4713361 5087737 9426722 10175474 14140083 15263211 18853444 20350948 28280166 30526422 35576977 42420249 45789633 56560332 61052844 71153954 84840498 91579266 106730931 142307908 169680996 183158532 213461862 320192793 426923724 640385586 1280771172 29208698117 58417396234 87626094351 116834792468 175252188702 262878283053 350504377404 525756566106 1051513132212