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10102226500 = 225343677013
BaseRepresentation
bin10010110100010001…
…11011111001000100
3222002001010021112001
421122020323321010
5131142132222000
64350233435044
7505225336252
oct113210737104
928061107461
1010102226500
114314497323
121b5b26ba84
13c4cc30522
146bb9735d2
153e1d5246a
hex25a23be44

10102226500 has 96 divisors (see below), whose sum is σ = 22916589696. Its totient is φ = 3887452800.

The previous prime is 10102226479. The next prime is 10102226503. The reversal of 10102226500 is 562220101.

It is not an unprimeable number, because it can be changed into a prime (10102226503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1436994 + ... + 1444006.

It is an arithmetic number, because the mean of its divisors is an integer number (238714476).

Almost surely, 210102226500 is an apocalyptic number.

10102226500 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 10102226500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11458294848).

10102226500 is an abundant number, since it is smaller than the sum of its proper divisors (12814363196).

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

10102226500 is a wasteful number, since it uses less digits than its factorization.

10102226500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7142 (or 7130 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 10102226500 its reverse (562220101), we get a palindrome (10664446601).

The spelling of 10102226500 in words is "ten billion, one hundred two million, two hundred twenty-six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 43 50 67 86 100 125 134 172 215 250 268 335 430 500 670 860 1075 1340 1675 2150 2881 3350 4300 5375 5762 6700 7013 8375 10750 11524 14026 14405 16750 21500 28052 28810 33500 35065 57620 70130 72025 140260 144050 175325 288100 301559 350650 360125 469871 603118 701300 720250 876625 939742 1206236 1440500 1507795 1753250 1879484 2349355 3015590 3506500 4698710 6031180 7538975 9397420 11746775 15077950 20204453 23493550 30155900 37694875 40408906 46987100 58733875 75389750 80817812 101022265 117467750 150779500 202044530 234935500 404089060 505111325 1010222650 2020445300 2525556625 5051113250 10102226500