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2100121401 = 37176738741
BaseRepresentation
bin111110100101101…
…0100111100111001
312102100202012222010
41331023110330321
513300112341101
6544220520133
7103020510630
oct17513247471
95370665863
102100121401
11988511324
124a73b0049
132761311b1
1415ccbc517
15c458d2d6
hex7d2d4f39

2100121401 has 32 divisors (see below), whose sum is σ = 3393854208. Its totient is φ = 1127669760.

The previous prime is 2100121399. The next prime is 2100121409. The reversal of 2100121401 is 1041210012.

It is a happy number.

It is not a de Polignac number, because 2100121401 - 21 = 2100121399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2100121409) 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 31 ways as a sum of consecutive naturals, for example, 235891 + ... + 244631.

It is an arithmetic number, because the mean of its divisors is an integer number (106057944).

Almost surely, 22100121401 is an apocalyptic number.

2100121401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2100121401 is a deficient number, since it is larger than the sum of its proper divisors (1293732807).

2100121401 is a wasteful number, since it uses less digits than its factorization.

2100121401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9441.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2100121401 is about 45827.0815239199. The cubic root of 2100121401 is about 1280.6038412725.

Adding to 2100121401 its reverse (1041210012), we get a palindrome (3141331413).

The spelling of 2100121401 in words is "two billion, one hundred million, one hundred twenty-one thousand, four hundred one".

Divisors: 1 3 7 17 21 51 119 357 673 2019 4711 8741 11441 14133 26223 34323 61187 80087 148597 183561 240261 445791 1040179 3120537 5882693 17648079 41178851 100005781 123536553 300017343 700040467 2100121401