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10130220200 = 2352471099887
BaseRepresentation
bin10010110111100111…
…01110010010101000
3222010222210111122202
421123303232102220
5131221314021300
64353113435332
7506015310452
oct113363562250
928128714582
1010130220200
114329277411
121b6870bb48
13c55982249
146c157d2d2
153e4531ad5
hex25bcee4a8

10130220200 has 96 divisors (see below), whose sum is σ = 24277017600. Its totient is φ = 3929091840.

The previous prime is 10130220097. The next prime is 10130220223. The reversal of 10130220200 is 202203101.

It is a happy number.

It is a super-2 number, since 2×101302202002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1019657 + ... + 1029543.

It is an arithmetic number, because the mean of its divisors is an integer number (252885600).

Almost surely, 210130220200 is an apocalyptic number.

10130220200 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 10130220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12138508800).

10130220200 is an abundant number, since it is smaller than the sum of its proper divisors (14146797400).

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

10130220200 is a wasteful number, since it uses less digits than its factorization.

10130220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10059 (or 10050 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10130220200 its reverse (202203101), we get a palindrome (10332423301).

The spelling of 10130220200 in words is "ten billion, one hundred thirty million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 109 188 200 218 235 376 436 470 545 872 940 1090 1175 1880 2180 2350 2725 4360 4700 5123 5450 9400 9887 10246 10900 19774 20492 21800 25615 39548 40984 49435 51230 79096 98870 102460 128075 197740 204920 247175 256150 395480 464689 494350 512300 929378 988700 1024600 1077683 1858756 1977400 2155366 2323445 3717512 4310732 4646890 5388415 8621464 9293780 10776830 11617225 18587560 21553660 23234450 26942075 43107320 46468900 50651101 53884150 92937800 101302202 107768300 202604404 215536600 253255505 405208808 506511010 1013022020 1266277525 2026044040 2532555050 5065110100 10130220200