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10140110200 = 2352119914651
BaseRepresentation
bin10010111000110010…
…11100110101111000
3222011200101222012001
421130121130311320
5131231332011300
64354105430344
7506165341333
oct113431346570
928150358161
1010140110200
114333911970
121b6ba9b3b4
13c57a35a0c
146c29d561a
153e533716a
hex25c65cd78

10140110200 has 96 divisors (see below), whose sum is σ = 25750494720. Its totient is φ = 3682800000.

The previous prime is 10140110177. The next prime is 10140110237. The reversal of 10140110200 is 201104101.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 2177875 + ... + 2182525.

It is an arithmetic number, because the mean of its divisors is an integer number (268234320).

Almost surely, 210140110200 is an apocalyptic number.

10140110200 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 10140110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12875247360).

10140110200 is an abundant number, since it is smaller than the sum of its proper divisors (15610384520).

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

10140110200 is a wasteful number, since it uses less digits than its factorization.

10140110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5669 (or 5660 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10140110200 its reverse (201104101), we get a palindrome (10341214301).

The spelling of 10140110200 in words is "ten billion, one hundred forty million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 991 1100 1982 2200 3964 4651 4955 7928 9302 9910 10901 18604 19820 21802 23255 24775 37208 39640 43604 46510 49550 51161 54505 87208 93020 99100 102322 109010 116275 186040 198200 204644 218020 232550 255805 272525 409288 436040 465100 511610 545050 930200 1023220 1090100 1279025 2046440 2180200 2558050 4609141 5116100 9218282 10232200 18436564 23045705 36873128 46091410 50700551 92182820 101401102 115228525 184365640 202802204 230457050 253502755 405604408 460914100 507005510 921828200 1014011020 1267513775 2028022040 2535027550 5070055100 10140110200