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2000001112120 = 235115385763341
BaseRepresentation
bin11101000110101001010…
…110110001100000111000
321002012100111221100111201
4131012221112301200320
5230232000241041440
64130442100503544
7264331614646264
oct35065126614070
97065314840451
102000001112120
117012175403a0
122837443aabb4
131167a386362b
146cb2ca9d0a4
153705814c19a
hex1d1a95b1838

2000001112120 has 64 divisors (see below), whose sum is σ = 5001718105440. Its totient is φ = 713550988800.

The previous prime is 2000001112061. The next prime is 2000001112129. The reversal of 2000001112120 is 212111000002.

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

It is a junction number, because it is equal to n+sod(n) for n = 2000001112097 and 2000001112106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000001112129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42858351 + ... + 42904990.

Almost surely, 22000001112120 is an apocalyptic number.

2000001112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000001112120 is an abundant number, since it is smaller than the sum of its proper divisors (3001716993320).

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

2000001112120 is a wasteful number, since it uses less digits than its factorization.

2000001112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85763416 (or 85763412 counting only the distinct ones).

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

Adding to 2000001112120 its reverse (212111000002), we get a palindrome (2212112112122).

The spelling of 2000001112120 in words is "two trillion, one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 212 220 265 424 440 530 583 1060 1166 2120 2332 2915 4664 5830 11660 23320 85763341 171526682 343053364 428816705 686106728 857633410 943396751 1715266820 1886793502 3430533640 3773587004 4545457073 4716983755 7547174008 9090914146 9433967510 18181828292 18867935020 22727285365 36363656584 37735870040 45454570730 50000027803 90909141460 100000055606 181818282920 200000111212 250000139015 400000222424 500000278030 1000000556060 2000001112120