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2134013110100 = 2252231579158757
BaseRepresentation
bin11111000011011101000…
…101111110011101010100
321120000021001011012201022
4133003131011332131110
5234430424324010400
64312204015020312
7310114556100614
oct37033505763524
97500231135638
102134013110100
11753036848a33
122a570480a698
1312630c99a961
1475402d22a44
153a79d305b85
hex1f0dd17e754

2134013110100 has 72 divisors (see below), whose sum is σ = 4832536197888. Its totient is φ = 816426371200.

The previous prime is 2134013110093. The next prime is 2134013110147. The reversal of 2134013110100 is 10113104312.

It is a congruent number.

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, 36289922 + ... + 36348678.

It is an arithmetic number, because the mean of its divisors is an integer number (67118558304).

Almost surely, 22134013110100 is an apocalyptic number.

2134013110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134013110100 is an abundant number, since it is smaller than the sum of its proper divisors (2698523087788).

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

2134013110100 is a wasteful number, since it uses less digits than its factorization.

2134013110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74585 (or 74578 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2134013110100 its reverse (10113104312), we get a palindrome (2144126214412).

The spelling of 2134013110100 in words is "two trillion, one hundred thirty-four billion, thirteen million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 15791 31582 58757 63164 78955 117514 157910 235028 293785 315820 363193 394775 587570 726386 789550 1175140 1351411 1452772 1468925 1579100 1815965 2702822 2937850 3631930 5405644 5875700 6757055 7263860 9079825 13514110 18159650 27028220 33785275 36319300 67570550 135141100 927831787 1855663574 3711327148 4639158935 9278317870 18556635740 21340131101 23195794675 42680262202 46391589350 85360524404 92783178700 106700655505 213401311010 426802622020 533503277525 1067006555050 2134013110100