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2100131032021 = 112950970118451
BaseRepresentation
bin11110100011111001100…
…100000110101111010101
321102202210202001022100121
4132203321210012233111
5233402032021011041
64244441544311541
7304505130143101
oct36437144065725
97382722038317
102100131032021
1173a72a243210
1229b0297725b1
13123070261249
147390b09c901
153996899b7d1
hex1e8f9906bd5

2100131032021 has 32 divisors (see below), whose sum is σ = 2378226614400. Its totient is φ = 1837029600000.

The previous prime is 2100131032003. The next prime is 2100131032073. The reversal of 2100131032021 is 1202301310012.

It is a cyclic number.

It is not a de Polignac number, because 2100131032021 - 27 = 2100131031893 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100131031986 and 2100131032004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100131032091) 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 31 ways as a sum of consecutive naturals, for example, 113812846 + ... + 113831296.

It is an arithmetic number, because the mean of its divisors is an integer number (74319581700).

Almost surely, 22100131032021 is an apocalyptic number.

It is an amenable number.

2100131032021 is a deficient number, since it is larger than the sum of its proper divisors (278095582379).

2100131032021 is a wasteful number, since it uses less digits than its factorization.

2100131032021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19701.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2100131032021 its reverse (1202301310012), we get a palindrome (3302432342033).

The spelling of 2100131032021 in words is "two trillion, one hundred billion, one hundred thirty-one million, thirty-two thousand, twenty-one".

Divisors: 1 11 29 319 509 701 5599 7711 14761 18451 20329 162371 202961 223619 356809 535079 3924899 5885869 9391559 10347461 12934151 103307149 113822071 142275661 272355211 375090379 2995907321 4125994169 6583482859 72418311449 190921002911 2100131032021