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2141113034100 = 2235210097073383
BaseRepresentation
bin11111001010000100010…
…010000010010101110100
321120200120211220201110110
4133022010102002111310
5240034444414042400
64315340323023020
7310455530334525
oct37120422022564
97520524821413
102141113034100
1175604a541a17
122a6b6650aa70
13126ba18bb911
14758b7c5084c
153aa667abe50
hex1f284482574

2141113034100 has 72 divisors (see below), whose sum is σ = 6201094285120. Its totient is φ = 570397524480.

The previous prime is 2141113034087. The next prime is 2141113034131. The reversal of 2141113034100 is 14303111412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3233992 + ... + 3839391.

Almost surely, 22141113034100 is an apocalyptic number.

2141113034100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141113034100 is an abundant number, since it is smaller than the sum of its proper divisors (4059981251020).

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

2141113034100 is a wasteful number, since it uses less digits than its factorization.

2141113034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7074409 (or 7074402 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 2141113034100 its reverse (14303111412), we get a palindrome (2155416145512).

The spelling of 2141113034100 in words is "two trillion, one hundred forty-one billion, one hundred thirteen million, thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1009 2018 3027 4036 5045 6054 10090 12108 15135 20180 25225 30270 50450 60540 75675 100900 151350 302700 7073383 14146766 21220149 28293532 35366915 42440298 70733830 84880596 106100745 141467660 176834575 212201490 353669150 424402980 530503725 707338300 1061007450 2122014900 7137043447 14274086894 21411130341 28548173788 35685217235 42822260682 71370434470 85644521364 107055651705 142740868940 178426086175 214111303410 356852172350 428222606820 535278258525 713704344700 1070556517050 2141113034100