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20123222100 = 22352232916409
BaseRepresentation
bin10010101111011100…
…000000000001010100
31220221102101121012020
4102233130000001110
5312203021101400
613124450253140
71311446365002
oct225734000124
956842347166
1020123222100
118597041673
123a972871b0
131b8908c317
14d8c7dda72
157cb9ab2a0
hex4af700054

20123222100 has 72 divisors (see below), whose sum is σ = 60754653120. Its totient is φ = 5132878080.

The previous prime is 20123222089. The next prime is 20123222111. The reversal of 20123222100 is 122232102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20123222089) and next prime (20123222111).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20123222100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1451305 + ... + 1465104.

Almost surely, 220123222100 is an apocalyptic number.

20123222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20123222100 is an abundant number, since it is smaller than the sum of its proper divisors (40631431020).

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

20123222100 is a wasteful number, since it uses less digits than its factorization.

20123222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916449 (or 2916442 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20123222100 its reverse (122232102), we get a palindrome (20245454202).

The spelling of 20123222100 in words is "twenty billion, one hundred twenty-three million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 2916409 5832818 8749227 11665636 14582045 17498454 29164090 34996908 43746135 58328180 67077407 72910225 87492270 134154814 145820450 174984540 201232221 218730675 268309628 291640900 335387035 402464442 437461350 670774070 804928884 874922700 1006161105 1341548140 1676935175 2012322210 3353870350 4024644420 5030805525 6707740700 10061611050 20123222100