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10002131021112 = 2338320113249647
BaseRepresentation
bin1001000110001100110101…
…1101110110110100111000
31022102012020201010100020020
42101203031131312310320
52302333331020133422
633134525432130440
72051426062621656
oct221431535666470
938365221110206
1010002131021112
11320697522a79a
121156591536a20
135772737b8069
1426816a171dd6
151252a208695c
hex918cd776d38

10002131021112 has 64 divisors (see below), whose sum is σ = 25307956154880. Its totient is φ = 3293697510912.

The previous prime is 10002131021107. The next prime is 10002131021153. The reversal of 10002131021112 is 21112013120001.

It is a junction number, because it is equal to n+sod(n) for n = 10002131021091 and 10002131021100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39940273 + ... + 40189919.

It is an arithmetic number, because the mean of its divisors is an integer number (395436814920).

Almost surely, 210002131021112 is an apocalyptic number.

10002131021112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10002131021112 is an abundant number, since it is smaller than the sum of its proper divisors (15305825133768).

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

10002131021112 is a wasteful number, since it uses less digits than its factorization.

10002131021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269852 (or 269848 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10002131021112 its reverse (21112013120001), we get a palindrome (31114144141113).

The spelling of 10002131021112 in words is "ten trillion, two billion, one hundred thirty-one million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 83 166 249 332 498 664 996 1992 20113 40226 60339 80452 120678 160904 241356 249647 482712 499294 748941 998588 1497882 1669379 1997176 2995764 3338758 5008137 5991528 6677516 10016274 13355032 20032548 20720701 40065096 41441402 62162103 82882804 124324206 165765608 248648412 497296824 5021150111 10042300222 15063450333 20084600444 30126900666 40169200888 60253801332 120507602664 416755459213 833510918426 1250266377639 1667021836852 2500532755278 3334043673704 5001065510556 10002131021112