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210100100001012 = 223213811155348519
BaseRepresentation
bin101111110001010110111101…
…110100111110110011110100
31000112220101002012200020020200
4233301112331310332303310
5210014240001100013022
62022502353053000500
762153142223645554
oct5761267564766364
91015811065606220
10210100100001012
1160a42a52174731
121b692982483130
13903047b86ac20
1439c4c831a5164
1519452bbdc1bac
hexbf15bdd3ecf4

210100100001012 has 72 divisors (see below), whose sum is σ = 572009685461760. Its totient is φ = 64638213261120.

The previous prime is 210100100000963. The next prime is 210100100001013. The reversal of 210100100001012 is 210100001001012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 210100100000985 and 210100100001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210100100001013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23878312 + ... + 31470207.

Almost surely, 2210100100001012 is an apocalyptic number.

It is an amenable number.

210100100001012 is an abundant number, since it is smaller than the sum of its proper divisors (361909585460748).

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

210100100001012 is a wasteful number, since it uses less digits than its factorization.

210100100001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55356653 (or 55356648 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 210100100001012 its reverse (210100001001012), we get a palindrome (420200101002024).

The spelling of 210100100001012 in words is "two hundred ten trillion, one hundred billion, one hundred million, one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 8111 16222 24333 32444 48666 72999 97332 105443 145998 210886 291996 316329 421772 632658 948987 1265316 1897974 3795948 55348519 110697038 166045557 221394076 332091114 498136671 664182228 719530747 996273342 1439061494 1992546684 2158592241 2878122988 4317184482 6475776723 8634368964 12951553446 25903106892 448931837609 897863675218 1346795512827 1795727350436 2693591025654 4040386538481 5387182051308 5836113888917 8080773076962 11672227777834 16161546153924 17508341666751 23344455555668 35016683333502 52525025000253 70033366667004 105050050000506 210100100001012