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12031101033193 = 1137467302320939
BaseRepresentation
bin1010111100010011010110…
…0000001101101011101001
31120121011101010011021202201
42233010311200031223221
53034104143331030233
641331002253100201
72351134620306454
oct257046540155351
946534333137681
1012031101033193
1139193a7979420
12142385b487661
136936b2c079c8
142d844635449b
1515ce5353677d
hexaf13580dae9

12031101033193 has 32 divisors (see below), whose sum is σ = 13513540884480. Its totient is φ = 10614952935360.

The previous prime is 12031101033151. The next prime is 12031101033197. The reversal of 12031101033193 is 39133010113021.

12031101033193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12031101033193 - 221 = 12031098936041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12031101033197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 574568118 + ... + 574589056.

It is an arithmetic number, because the mean of its divisors is an integer number (422298152640).

Almost surely, 212031101033193 is an apocalyptic number.

It is an amenable number.

12031101033193 is a deficient number, since it is larger than the sum of its proper divisors (1482439851287).

12031101033193 is a wasteful number, since it uses less digits than its factorization.

12031101033193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24477.

The product of its (nonzero) digits is 1458, while the sum is 28.

The spelling of 12031101033193 in words is "twelve trillion, thirty-one billion, one hundred one million, thirty-three thousand, one hundred ninety-three".

Divisors: 1 11 37 407 467 3023 5137 17279 20939 33253 111851 190069 230329 774743 1230361 1411741 8522173 9778513 15529151 52234417 63298597 107563643 361804981 574578587 696284567 2342048089 3979854791 25762528979 29560444799 325164892789 1093736457563 12031101033193