Search a number
-
+
210002100021 = 32731372906161
BaseRepresentation
bin1100001110010100011…
…0011011111100110101
3202002001102000000022100
43003211012123330311
511420041014200041
6240250145452313
721113022253320
oct3034506337465
9662042000270
10210002100021
118107478aa6a
1234849341099
1316a5959345c
14a24262d7b7
1556e15e96b6
hex30e519bf35

210002100021 has 48 divisors (see below), whose sum is σ = 367524871168. Its totient is φ = 112991500800.

The previous prime is 210002100017. The next prime is 210002100029. The reversal of 210002100021 is 120001200012.

It is not a de Polignac number, because 210002100021 - 22 = 210002100017 is a prime.

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

210002100021 is a modest number, since divided by 2100021 gives 21 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 210002099976 and 210002100012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210002100029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1380820 + ... + 1525341.

Almost surely, 2210002100021 is an apocalyptic number.

210002100021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

210002100021 is a deficient number, since it is larger than the sum of its proper divisors (157522771147).

210002100021 is a wasteful number, since it uses less digits than its factorization.

210002100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906242 (or 2906239 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 210002100021 its reverse (120001200012), we get a palindrome (330003300033).

Subtracting from 210002100021 its reverse (120001200012), we obtain a palindrome (90000900009).

The spelling of 210002100021 in words is "two hundred ten billion, two million, one hundred thousand, twenty-one".

Divisors: 1 3 7 9 21 31 37 63 93 111 217 259 279 333 651 777 1147 1953 2331 3441 8029 10323 24087 72261 2906161 8718483 20343127 26155449 61029381 90090991 107527957 183088143 270272973 322583871 630636937 752695699 810818919 967751613 1891910811 2258087097 3333366667 5675732433 6774261291 10000100001 23333566669 30000300003 70000700007 210002100021