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10012131120200 = 2352119746917203
BaseRepresentation
bin1001000110110010000110…
…0001001101010001001000
31022110011001122002000021112
42101230201201031101020
52303014321031321300
633143302021025452
72052231641225546
oct221544141152110
938404048060245
1010012131120200
1132101370021a0
121158502555288
135781a850b661
1426883831cd96
15125689e63e35
hex91b2184d448

10012131120200 has 96 divisors (see below), whose sum is σ = 25656203835360. Its totient is φ = 3603241113600.

The previous prime is 10012131120181. The next prime is 10012131120217. The reversal of 10012131120200 is 202113121001.

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, 23245202 + ... + 23672001.

It is an arithmetic number, because the mean of its divisors is an integer number (267252123285).

Almost surely, 210012131120200 is an apocalyptic number.

10012131120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012131120200 is an abundant number, since it is smaller than the sum of its proper divisors (15644072715160).

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

10012131120200 is a wasteful number, since it uses less digits than its factorization.

10012131120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46917327 (or 46917318 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10012131120200 its reverse (202113121001), we get a palindrome (10214244241201).

The spelling of 10012131120200 in words is "ten trillion, twelve billion, one hundred thirty-one million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 97 100 110 194 200 220 275 388 440 485 550 776 970 1067 1100 1940 2134 2200 2425 3880 4268 4850 5335 8536 9700 10670 19400 21340 26675 42680 53350 106700 213400 46917203 93834406 187668812 234586015 375337624 469172030 516089233 938344060 1032178466 1172930075 1876688120 2064356932 2345860150 2580446165 4128713864 4550968691 4691720300 5160892330 9101937382 9383440600 10321784660 12902230825 18203874764 20643569320 22754843455 25804461650 36407749528 45509686910 50060655601 51608923300 91019373820 100121311202 103217846600 113774217275 182038747640 200242622404 227548434550 250303278005 400485244808 455096869100 500606556010 910193738200 1001213112020 1251516390025 2002426224040 2503032780050 5006065560100 10012131120200