Search a number
-
+
10122233300 = 2252235637817
BaseRepresentation
bin10010110110101010…
…10000010111010100
3222010102202201200122
421123111100113110
5131212242431200
64352230331112
7505560364154
oct113325202724
928112681618
1010122233300
114324811773
121b65ab9a98
13c54116a7a
146c04a0764
153e39a5385
hex25b5505d4

10122233300 has 72 divisors (see below), whose sum is σ = 22963905216. Its totient is φ = 3865480960.

The previous prime is 10122233263. The next prime is 10122233309. The reversal of 10122233300 is 333222101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122233309) 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, 1290992 + ... + 1298808.

It is an arithmetic number, because the mean of its divisors is an integer number (318943128).

Almost surely, 210122233300 is an apocalyptic number.

10122233300 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 10122233300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11481952608).

10122233300 is an abundant number, since it is smaller than the sum of its proper divisors (12841671916).

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

10122233300 is a wasteful number, since it uses less digits than its factorization.

10122233300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8417 (or 8410 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10122233300 its reverse (333222101), we get a palindrome (10455455401).

The spelling of 10122233300 in words is "ten billion, one hundred twenty-two million, two hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 563 575 1126 1150 2252 2300 2815 5630 7817 11260 12949 14075 15634 25898 28150 31268 39085 51796 56300 64745 78170 129490 156340 179791 195425 258980 323725 359582 390850 647450 719164 781700 898955 1294900 1797910 3595820 4400971 4494775 8801942 8989550 17603884 17979100 22004855 44009710 88019420 101222333 110024275 202444666 220048550 404889332 440097100 506111665 1012223330 2024446660 2530558325 5061116650 10122233300