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1021102022112 = 25333613164677
BaseRepresentation
bin11101101101111100110…
…11000101110111100000
310121121122100121012212120
432312332123011313200
5113212204104201422
62101030544024240
7133525600660254
oct16667633056740
93547570535776
101021102022112
11364057520497
12145a91002080
137539c081663
14375c8c36264
151b86411745c
hexedbe6c5de0

1021102022112 has 48 divisors (see below), whose sum is σ = 2681191153872. Its totient is φ = 340265963520.

The previous prime is 1021102022077. The next prime is 1021102022119. The reversal of 1021102022112 is 2112202011201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10211020221122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1021102022091 and 1021102022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021102022119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1259683 + ... + 1904994.

It is an arithmetic number, because the mean of its divisors is an integer number (55858149039).

Almost surely, 21021102022112 is an apocalyptic number.

1021102022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1021102022112 is an abundant number, since it is smaller than the sum of its proper divisors (1660089131760).

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

1021102022112 is a wasteful number, since it uses less digits than its factorization.

1021102022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3168051 (or 3168043 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1021102022112 its reverse (2112202011201), we get a palindrome (3133304033313).

The spelling of 1021102022112 in words is "one trillion, twenty-one billion, one hundred two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3361 6722 10083 13444 20166 26888 40332 53776 80664 107552 161328 322656 3164677 6329354 9494031 12658708 18988062 25317416 37976124 50634832 75952248 101269664 151904496 303808992 10636479397 21272958794 31909438191 42545917588 63818876382 85091835176 127637752764 170183670352 255275505528 340367340704 510551011056 1021102022112