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201010000010120 = 23573372130245867
BaseRepresentation
bin101101101101000101001001…
…101001011001101110001000
3222100201100221111211122001122
4231231011021221121232020
5202321321440000310440
61551302415202534412
760224331120620150
oct5555051151315610
9870640844748048
10201010000010120
115905895375a914
121a665102367408
138821214249672
14378cd161d3760
151838ae86b67b5
hexb6d149a59b88

201010000010120 has 64 divisors (see below), whose sum is σ = 518416634436480. Its totient is φ = 68713210653696.

The previous prime is 201010000010087. The next prime is 201010000010123. The reversal of 201010000010120 is 21010000010102.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 201010000010098 and 201010000010107.

It is not an unprimeable number, because it can be changed into a prime (201010000010123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1065028574 + ... + 1065217293.

It is an arithmetic number, because the mean of its divisors is an integer number (8100259913070).

Almost surely, 2201010000010120 is an apocalyptic number.

201010000010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201010000010120 is an abundant number, since it is smaller than the sum of its proper divisors (317406634426360).

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

201010000010120 is a wasteful number, since it uses less digits than its factorization.

201010000010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130246222 (or 2130246218 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 201010000010120 its reverse (21010000010102), we get a palindrome (222020000020222).

The spelling of 201010000010120 in words is "two hundred one trillion, ten billion, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 337 674 1348 1685 2359 2696 3370 4718 6740 9436 11795 13480 18872 23590 47180 94360 2130245867 4260491734 8520983468 10651229335 14911721069 17041966936 21302458670 29823442138 42604917340 59646884276 74558605345 85209834680 119293768552 149117210690 298234421380 596468842760 717892857179 1435785714358 2871571428716 3589464285895 5025250000253 5743142857432 7178928571790 10050500000506 14357857143580 20101000001012 25126250001265 28715714287160 40202000002024 50252500002530 100505000005060 201010000010120