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10002111200 = 255223543593
BaseRepresentation
bin10010101000010110…
…00001101011100000
3221211001201220010222
421110023001223200
5130441020024300
64332255542212
7502601354024
oct112413015340
927731656128
1010002111200
114272a27204
121b3182a968
13c352793c3
146ac552384
153d8178785
hex2542c1ae0

10002111200 has 72 divisors (see below), whose sum is σ = 25479337968. Its totient is φ = 3826887680.

The previous prime is 10002111193. The next prime is 10002111209. The reversal of 10002111200 is 211120001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002111209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 253397 + ... + 290196.

It is an arithmetic number, because the mean of its divisors is an integer number (353879694).

Almost surely, 210002111200 is an apocalyptic number.

10002111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002111200 is an abundant number, since it is smaller than the sum of its proper divisors (15477226768).

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

10002111200 is a wasteful number, since it uses less digits than its factorization.

10002111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543636 (or 543623 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10002111200 its reverse (211120001), we get a palindrome (10213231201).

The spelling of 10002111200 in words is "ten billion, two million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 160 184 200 230 368 400 460 575 736 800 920 1150 1840 2300 3680 4600 9200 18400 543593 1087186 2174372 2717965 4348744 5435930 8697488 10871860 12502639 13589825 17394976 21743720 25005278 27179650 43487440 50010556 54359300 62513195 86974880 100021112 108718600 125026390 200042224 217437200 250052780 312565975 400084448 434874400 500105560 625131950 1000211120 1250263900 2000422240 2500527800 5001055600 10002111200