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10130103143200 = 2552239479110609
BaseRepresentation
bin1001001101101001100100…
…1100110000101100100000
31022212102120022020201022201
42103122121030300230200
52311432422401040300
633313412150542544
72063606253664555
oct223323114605440
938772508221281
1010130103143200
113256175151167
121177347067a54
13586359504421
1427042a1a6a2c
15128791d7c66a
hex93699330b20

10130103143200 has 144 divisors (see below), whose sum is σ = 24885657216000. Its totient is φ = 4026626723840.

The previous prime is 10130103143177. The next prime is 10130103143201. The reversal of 10130103143200 is 234130103101.

It is not an unprimeable number, because it can be changed into a prime (10130103143201) 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, 91529496 + ... + 91640104.

It is an arithmetic number, because the mean of its divisors is an integer number (172817064000).

Almost surely, 210130103143200 is an apocalyptic number.

10130103143200 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 10130103143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12442828608000).

10130103143200 is an abundant number, since it is smaller than the sum of its proper divisors (14755554072800).

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

10130103143200 is a wasteful number, since it uses less digits than its factorization.

10130103143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111347 (or 111334 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10130103143200 its reverse (234130103101), we get a palindrome (10364233246301).

The spelling of 10130103143200 in words is "ten trillion, one hundred thirty billion, one hundred three million, one hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 239 400 478 479 800 956 958 1195 1912 1916 2390 2395 3824 3832 4780 4790 5975 7648 7664 9560 9580 11950 11975 15328 19120 19160 23900 23950 38240 38320 47800 47900 76640 95600 95800 110609 114481 191200 191600 221218 228962 383200 442436 457924 553045 572405 884872 915848 1106090 1144810 1769744 1831696 2212180 2289620 2765225 2862025 3539488 3663392 4424360 4579240 5530450 5724050 8848720 9158480 11060900 11448100 17697440 18316960 22121800 22896200 26435551 44243600 45792400 52871102 52981711 88487200 91584800 105742204 105963422 132177755 211484408 211926844 264355510 264908555 422968816 423853688 528711020 529817110 660888775 845937632 847707376 1057422040 1059634220 1321777550 1324542775 1695414752 2114844080 2119268440 2643555100 2649085550 4229688160 4238536880 5287110200 5298171100 8477073760 10574220400 10596342200 12662628929 21148440800 21192684400 25325257858 42385368800 50650515716 63313144645 101301031432 126626289290 202602062864 253252578580 316565723225 405204125728 506505157160 633131446450 1013010314320 1266262892900 2026020628640 2532525785800 5065051571600 10130103143200