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12003401004100 = 22521196431131617
BaseRepresentation
bin1010111010101100001001…
…1100111111010001000100
31120111111212122200000100021
42232223002130333101010
53033130431124112400
641310141501224524
72346134316041242
oct256530234772104
946444778600307
1012003401004100
113908682a365a0
12141a40a862144
13690bba1a774c
142d6d7956b792
1515c3817c571a
hexaeac273f444

12003401004100 has 72 divisors (see below), whose sum is σ = 28418295675168. Its totient is φ = 4364416588800.

The previous prime is 12003401004097. The next prime is 12003401004113. The reversal of 12003401004100 is 140010430021.

12003401004100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 10041492 + ... + 11173108.

It is an arithmetic number, because the mean of its divisors is an integer number (394698551044).

Almost surely, 212003401004100 is an apocalyptic number.

12003401004100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12003401004100 is an abundant number, since it is smaller than the sum of its proper divisors (16414894671068).

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

12003401004100 is a wasteful number, since it uses less digits than its factorization.

12003401004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141285 (or 1141278 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12003401004100 its reverse (140010430021), we get a palindrome (12143411434121).

The spelling of 12003401004100 in words is "twelve trillion, three billion, four hundred one million, four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 9643 19286 38572 48215 96430 106073 192860 212146 241075 424292 482150 530365 964300 1060730 1131617 2121460 2263234 2651825 4526468 5303650 5658085 10607300 11316170 12447787 22632340 24895574 28290425 49791148 56580850 62238935 113161700 124477870 248955740 311194675 622389350 1244778700 10912182731 21824365462 43648730924 54560913655 109121827310 120034010041 218243654620 240068020082 272804568275 480136040164 545609136550 600170050205 1091218273100 1200340100410 2400680200820 3000850251025 6001700502050 12003401004100