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10130022400 = 2135249463
BaseRepresentation
bin10010110111100101…
…11110000000000000
3222010222102110022211
421123302332000000
5131221241204100
64353105311504
7506013525001
oct113362760000
928128373284
1010130022400
114329151843
121b68635594
13c559131c4
146c152b1a8
153e44e31ba
hex25bcbe000

10130022400 has 84 divisors (see below), whose sum is σ = 25121430072. Its totient is φ = 4051927040.

The previous prime is 10130022337. The next prime is 10130022491. The reversal of 10130022400 is 422003101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 180069 + ... + 229531.

Almost surely, 210130022400 is an apocalyptic number.

10130022400 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 10130022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12560715036).

10130022400 is an abundant number, since it is smaller than the sum of its proper divisors (14991407672).

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

10130022400 is an frugal number, since it uses more digits than its factorization.

10130022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49499 (or 49470 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10130022400 its reverse (422003101), we get a palindrome (10552025501).

The spelling of 10130022400 in words is "ten billion, one hundred thirty million, twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2048 2560 3200 4096 5120 6400 8192 10240 12800 20480 25600 40960 49463 51200 98926 102400 197852 204800 247315 395704 494630 791408 989260 1236575 1582816 1978520 2473150 3165632 3957040 4946300 6331264 7914080 9892600 12662528 15828160 19785200 25325056 31656320 39570400 50650112 63312640 79140800 101300224 126625280 158281600 202600448 253250560 316563200 405200896 506501120 633126400 1013002240 1266252800 2026004480 2532505600 5065011200 10130022400