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2120012131293 = 327233803384719
BaseRepresentation
bin11110110110011010100…
…100011110101111011101
321111200010021211210110200
4132312122210132233131
5234213241101200133
64301530425254113
7306110606534460
oct36663244365735
97450107753420
102120012131293
11748101641371
122a2a57934339
13124bbb108404
14748756732d7
153a22e07c913
hex1ed9a91ebdd

2120012131293 has 48 divisors (see below), whose sum is σ = 3652833300480. Its totient is φ = 1158456686112.

The previous prime is 2120012131267. The next prime is 2120012131297. The reversal of 2120012131293 is 3921312100212.

2120012131293 is a `hidden beast` number, since 21 + 200 + 121 + 31 + 293 = 666.

It is not a de Polignac number, because 2120012131293 - 25 = 2120012131261 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120012131297) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5318188 + ... + 5702906.

It is an arithmetic number, because the mean of its divisors is an integer number (76100693760).

Almost surely, 22120012131293 is an apocalyptic number.

2120012131293 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2120012131293 is a deficient number, since it is larger than the sum of its proper divisors (1532821169187).

2120012131293 is a wasteful number, since it uses less digits than its factorization.

2120012131293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388558 (or 388555 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 2120012131293 in words is "two trillion, one hundred twenty billion, twelve million, one hundred thirty-one thousand, two hundred ninety-three".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 3803 11409 26621 34227 79863 87469 239589 262407 384719 612283 787221 1154157 1836849 2693033 3462471 5510547 8079099 8848537 24237297 26545611 61939759 79636833 185819277 557457831 1463086357 4389259071 10241604499 13167777213 30724813497 33650986211 92174440491 100952958633 235556903477 302858875899 706670710431 2120012131293