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10010101200 = 2435211758341
BaseRepresentation
bin10010101001010011…
…00000010111010000
3221211121202211100220
421110221200113100
5131000041214300
64333143113040
7503026312341
oct112451402720
927747684326
1010010101200
114277494210
121b34442780
13c36b16108
146ad6320c8
153d8c05da0
hex254a605d0

10010101200 has 120 divisors (see below), whose sum is σ = 34980799776. Its totient is φ = 2426688000.

The previous prime is 10010101181. The next prime is 10010101201. The reversal of 10010101200 is 210101001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010101201) 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 23 ways as a sum of consecutive naturals, for example, 365971 + ... + 392370.

Almost surely, 210010101200 is an apocalyptic number.

10010101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010101200 is an abundant number, since it is smaller than the sum of its proper divisors (24970698576).

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

10010101200 is a wasteful number, since it uses less digits than its factorization.

10010101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758373 (or 758362 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10010101200 its reverse (210101001), we get a palindrome (10220202201).

The spelling of 10010101200 in words is "ten billion, ten million, one hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 758341 1516682 2275023 3033364 3791705 4550046 6066728 7583410 8341751 9100092 11375115 12133456 15166820 16683502 18200184 18958525 22750230 25025253 30333640 33367004 36400368 37917050 41708755 45500460 50050506 56875575 60667280 66734008 75834100 83417510 91000920 100101012 113751150 125126265 133468016 151668200 166835020 182001840 200202024 208543775 227502300 250252530 303336400 333670040 400404048 417087550 455004600 500505060 625631325 667340080 834175100 910009200 1001010120 1251262650 1668350200 2002020240 2502525300 3336700400 5005050600 10010101200