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21121100200 = 2352293641569
BaseRepresentation
bin10011101010111010…
…100110100110101000
32000111222002001121101
4103222322212212220
5321224000201300
613411454251144
71345254250414
oct235272464650
960458061541
1021121100200
118a59346212
1241154b6ab4
131cb7a35735
141045157d44
158393bdb6a
hex4eaea69a8

21121100200 has 48 divisors (see below), whose sum is σ = 50799901500. Its totient is φ = 8157112320.

The previous prime is 21121100173. The next prime is 21121100227. The reversal of 21121100200 is 200112112.

It is an interprime number because it is at equal distance from previous prime (21121100173) and next prime (21121100227).

It can be written as a sum of positive squares in 6 ways, for example, as 14755932676 + 6365167524 = 121474^2 + 79782^2 .

It is a super-2 number, since 2×211211002002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1814985 + ... + 1826584.

Almost surely, 221121100200 is an apocalyptic number.

21121100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121100200 is an abundant number, since it is smaller than the sum of its proper divisors (29678801300).

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

21121100200 is a wasteful number, since it uses less digits than its factorization.

21121100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3641614 (or 3641605 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21121100200 its reverse (200112112), we get a palindrome (21321212312).

The spelling of 21121100200 in words is "twenty-one billion, one hundred twenty-one million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 3641569 7283138 14566276 18207845 29132552 36415690 72831380 91039225 105605501 145662760 182078450 211211002 364156900 422422004 528027505 728313800 844844008 1056055010 2112110020 2640137525 4224220040 5280275050 10560550100 21121100200