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10122271300 = 2252376074507
BaseRepresentation
bin10010110110101010…
…11001101001000100
3222010102211122211001
421123111121221010
5131212300140200
64352231223044
7505560613021
oct113325315104
928112748731
1010122271300
114324838279
121b65b17a84
13c5412b15b
146c04b0548
153e39b176a
hex25b559a44

10122271300 has 72 divisors (see below), whose sum is σ = 22601164544. Its totient is φ = 3932115840.

The previous prime is 10122271297. The next prime is 10122271309. The reversal of 10122271300 is 317222101.

It is not an unprimeable number, because it can be changed into a prime (10122271309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2243647 + ... + 2248153.

Almost surely, 210122271300 is an apocalyptic number.

10122271300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122271300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11300582272).

10122271300 is an abundant number, since it is smaller than the sum of its proper divisors (12478893244).

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

10122271300 is a wasteful number, since it uses less digits than its factorization.

10122271300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5165 (or 5158 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

Adding to 10122271300 its reverse (317222101), we get a palindrome (10439493401).

The spelling of 10122271300 in words is "ten billion, one hundred twenty-two million, two hundred seventy-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 607 740 925 1214 1850 2428 3035 3700 4507 6070 9014 12140 15175 18028 22459 22535 30350 44918 45070 60700 89836 90140 112295 112675 166759 224590 225350 333518 449180 450700 561475 667036 833795 1122950 1667590 2245900 2735749 3335180 4168975 5471498 8337950 10942996 13678745 16675900 27357490 54714980 68393725 101222713 136787450 202445426 273574900 404890852 506113565 1012227130 2024454260 2530567825 5061135650 10122271300