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10133103200 = 2552112774157
BaseRepresentation
bin10010110111111101…
…01110001001100000
3222011012012222101112
421123332232021200
5131223033300300
64353255322452
7506051645633
oct113376561140
928135188345
1010133103200
11432a966460
121b69680428
13c5645156c
146c1acdc1a
153e4900e35
hex25bfae260

10133103200 has 144 divisors (see below), whose sum is σ = 27090234864. Its totient is φ = 3670579200.

The previous prime is 10133103187. The next prime is 10133103217. The reversal of 10133103200 is 230133101.

It is a congruent number.

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, 2435522 + ... + 2439678.

It is an arithmetic number, because the mean of its divisors is an integer number (188126631).

Almost surely, 210133103200 is an apocalyptic number.

10133103200 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 10133103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13545117432).

10133103200 is an abundant number, since it is smaller than the sum of its proper divisors (16957131664).

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

10133103200 is a wasteful number, since it uses less digits than its factorization.

10133103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4465 (or 4452 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10133103200 its reverse (230133101), we get a palindrome (10363236301).

The spelling of 10133103200 in words is "ten billion, one hundred thirty-three million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 277 352 400 440 550 554 800 880 1100 1108 1385 1760 2200 2216 2770 3047 4157 4400 4432 5540 6094 6925 8314 8800 8864 11080 12188 13850 15235 16628 20785 22160 24376 27700 30470 33256 41570 44320 45727 48752 55400 60940 66512 76175 83140 91454 97504 103925 110800 121880 133024 152350 166280 182908 207850 221600 228635 243760 304700 332560 365816 415700 457270 487520 609400 665120 731632 831400 914540 1143175 1151489 1218800 1463264 1662800 1829080 2286350 2302978 2437600 3325600 3658160 4572700 4605956 5757445 7316320 9145400 9211912 11514890 12666379 18290800 18423824 23029780 25332758 28787225 36581600 36847648 46059560 50665516 57574450 63331895 92119120 101331032 115148900 126663790 184238240 202662064 230297800 253327580 316659475 405324128 460595600 506655160 633318950 921191200 1013310320 1266637900 2026620640 2533275800 5066551600 10133103200