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10122203300 = 22521175112253
BaseRepresentation
bin10010110110101010…
…01001000010100100
3222010102201012112112
421123111021002210
5131212241001200
64352225540152
7505560210536
oct113325110244
928112635475
1010122203300
1143247a1180
121b65aa4658
13c54106211
146c0493856
153e399b535
hex25b5490a4

10122203300 has 72 divisors (see below), whose sum is σ = 23995880832. Its totient is φ = 3675600000.

The previous prime is 10122203261. The next prime is 10122203303. The reversal of 10122203300 is 330222101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10122203303) 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, 819974 + ... + 832226.

Almost surely, 210122203300 is an apocalyptic number.

10122203300 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 10122203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11997940416).

10122203300 is an abundant number, since it is smaller than the sum of its proper divisors (13873677532).

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

10122203300 is a wasteful number, since it uses less digits than its factorization.

10122203300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13029 (or 13022 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10122203300 its reverse (330222101), we get a palindrome (10452425401).

The spelling of 10122203300 in words is "ten billion, one hundred twenty-two million, two hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 751 1100 1502 3004 3755 7510 8261 12253 15020 16522 18775 24506 33044 37550 41305 49012 61265 75100 82610 122530 134783 165220 206525 245060 269566 306325 413050 539132 612650 673915 826100 1225300 1347830 2695660 3369575 6739150 9202003 13478300 18404006 36808012 46010015 92020030 101222033 184040060 202444066 230050075 404888132 460100150 506110165 920200300 1012220330 2024440660 2530550825 5061101650 10122203300