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142100011121013 = 321117611384140451
BaseRepresentation
bin100000010011110100111100…
…101011110111100101110101
3200122010121222002122201222100
4200103310330223313211311
5122111131310321333023
61222115502141252313
741634246513221331
oct4023647453674565
9618117862581870
10142100011121013
1141306304813550
1213b2bb26264099
136139c86b7938a
14271396a4947c1
15116653269dc43
hex813d3caf7975

142100011121013 has 48 divisors (see below), whose sum is σ = 240973316131392. Its totient is φ = 79726489920000.

The previous prime is 142100011121011. The next prime is 142100011121053. The reversal of 142100011121013 is 310121110001241.

It is not a de Polignac number, because 142100011121013 - 21 = 142100011121011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142100011121011) 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, 691967563 + ... + 692172888.

It is an arithmetic number, because the mean of its divisors is an integer number (5020277419404).

Almost surely, 2142100011121013 is an apocalyptic number.

It is an amenable number.

142100011121013 is a deficient number, since it is larger than the sum of its proper divisors (98873305010379).

142100011121013 is a wasteful number, since it uses less digits than its factorization.

142100011121013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384140546 (or 1384140543 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 142100011121013 its reverse (310121110001241), we get a palindrome (452221121122254).

The spelling of 142100011121013 in words is "one hundred forty-two trillion, one hundred billion, eleven million, one hundred twenty-one thousand, thirteen".

Divisors: 1 3 9 11 17 33 51 61 99 153 183 187 549 561 671 1037 1683 2013 3111 6039 9333 11407 34221 102663 1384140451 4152421353 12457264059 15225544961 23530387667 45676634883 70591163001 84432567511 137029904649 211773489003 253297702533 258834264337 759893107599 776502793011 928758242621 1435353647687 2329508379033 2786274727863 4306060943061 8358824183589 12918182829183 15788890124557 47366670373671 142100011121013