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10011044114022 = 237674271832963
BaseRepresentation
bin1001000110101110000010…
…1110100110111001100110
31022110001020212200101010110
42101223200232212321212
52303010104243122042
633143002110433450
72052163001641410
oct221534056467146
938401225611113
1010011044114022
11320a729462386
12115825a502886
1357806425a133
14268773c039b0
151256247e809c
hex91ae0ba6e66

10011044114022 has 64 divisors (see below), whose sum is σ = 23229380173824. Its totient is φ = 2816944210080.

The previous prime is 10011044114021. The next prime is 10011044114063. The reversal of 10011044114022 is 22041144011001.

10011044114022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10011044114022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011044114021) 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, 11602113 + ... + 12435075.

It is an arithmetic number, because the mean of its divisors is an integer number (362959065216).

Almost surely, 210011044114022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011044114022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11614690086912).

10011044114022 is an abundant number, since it is smaller than the sum of its proper divisors (13218336059802).

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

10011044114022 is a wasteful number, since it uses less digits than its factorization.

10011044114022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837313.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 10011044114022 its reverse (22041144011001), we get a palindrome (32052188125023).

The spelling of 10011044114022 in words is "ten trillion, eleven billion, forty-four million, one hundred fourteen thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 67 134 201 402 469 938 1407 2814 4271 8542 12813 25626 29897 59794 89691 179382 286157 572314 832963 858471 1665926 1716942 2003099 2498889 4006198 4997778 5830741 6009297 11661482 12018594 17492223 34984446 55808521 111617042 167425563 334851126 390659647 781319294 1171978941 2343957882 3557584973 7115169946 10672754919 21345509838 24903094811 49806189622 74709284433 149418568866 238358193191 476716386382 715074579573 1430149159146 1668507352337 3337014704674 5005522057011 10011044114022