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100012022022100 = 22523532833201757
BaseRepresentation
bin10110101111010111011101…
…000010111011111111010100
3111010010001111202212112021111
4112233113131002323333110
5101102044110114201400
6552412515540224404
730031426065506326
oct2657273502737724
9433101452775244
10100012022022100
112995995113a331
12b272bbb99b104
1343a6129a1b3a6
141a9a871723616
15b8681ee403ba
hex5af5dd0bbfd4

100012022022100 has 36 divisors (see below), whose sum is σ = 217640892646044. Its totient is φ = 39891480724480.

The previous prime is 100012022022091. The next prime is 100012022022139. The reversal of 100012022022100 is 1220220210001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5029416228496 + 94982605793604 = 2242636^2 + 9745902^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1416565579 + ... + 1416636178.

It is an arithmetic number, because the mean of its divisors is an integer number (6045580351279).

Almost surely, 2100012022022100 is an apocalyptic number.

100012022022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012022022100 is an abundant number, since it is smaller than the sum of its proper divisors (117628870623944).

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

100012022022100 is a wasteful number, since it uses less digits than its factorization.

100012022022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833202124 (or 2833202117 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100012022022100 its reverse (1220220210001), we get a palindrome (101232242232101).

The spelling of 100012022022100 in words is "one hundred trillion, twelve billion, twenty-two million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 353 706 1412 1765 3530 7060 8825 17650 35300 2833201757 5666403514 11332807028 14166008785 28332017570 56664035140 70830043925 141660087850 283320175700 1000120220221 2000240440442 4000480880884 5000601101105 10001202202210 20002404404420 25003005505525 50006011011050 100012022022100