Search a number
-
+
21122030100 = 22352152346229
BaseRepresentation
bin10011101010111110…
…001001101000010100
32000112000211022012010
4103222332021220110
5321224214430400
613411530224220
71345265202453
oct235276115024
960460738163
1021122030100
118a59920926
124115885070
131cb7c9ca82
14104531ab9a
15839504450
hex4eaf89a14

21122030100 has 72 divisors (see below), whose sum is σ = 61154523360. Its totient is φ = 5628721280.

The previous prime is 21122030099. The next prime is 21122030113. The reversal of 21122030100 is 103022112.

It is a super-2 number, since 2×211220301002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433786 + ... + 480014.

It is an arithmetic number, because the mean of its divisors is an integer number (849368380).

Almost surely, 221122030100 is an apocalyptic number.

21122030100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122030100 is an abundant number, since it is smaller than the sum of its proper divisors (40032493260).

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

21122030100 is a wasteful number, since it uses less digits than its factorization.

21122030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47769 (or 47762 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21122030100 its reverse (103022112), we get a palindrome (21225052212).

The spelling of 21122030100 in words is "twenty-one billion, one hundred twenty-two million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1523 3046 4569 6092 7615 9138 15230 18276 22845 30460 38075 45690 46229 76150 91380 92458 114225 138687 152300 184916 228450 231145 277374 456900 462290 554748 693435 924580 1155725 1386870 2311450 2773740 3467175 4622900 6934350 13868700 70406767 140813534 211220301 281627068 352033835 422440602 704067670 844881204 1056101505 1408135340 1760169175 2112203010 3520338350 4224406020 5280507525 7040676700 10561015050 21122030100