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21415210100 = 2252214152101
BaseRepresentation
bin10011111100011100…
…100010110001110100
32001021110111101112122
4103330130202301310
5322324243210400
613501002135112
71355455165604
oct237434426164
961243441478
1021415210100
11909a367349
124197ab1498
13203395056b
141072236c04
15855117685
hex4fc722c74

21415210100 has 18 divisors (see below), whose sum is σ = 46471006134. Its totient is φ = 8566084000.

The previous prime is 21415210081. The next prime is 21415210123. The reversal of 21415210100 is 101251412.

It can be written as a sum of positive squares in 3 ways, for example, as 121396324 + 21293813776 = 11018^2 + 145924^2 .

It is a super-2 number, since 2×214152101002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 107075951 + ... + 107076150.

It is an arithmetic number, because the mean of its divisors is an integer number (2581722563).

Almost surely, 221415210100 is an apocalyptic number.

21415210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21415210100 is an abundant number, since it is smaller than the sum of its proper divisors (25055796034).

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

21415210100 is a wasteful number, since it uses less digits than its factorization.

21415210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214152115 (or 214152108 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 21415210100 its reverse (101251412), we get a palindrome (21516461512).

The spelling of 21415210100 in words is "twenty-one billion, four hundred fifteen million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 214152101 428304202 856608404 1070760505 2141521010 4283042020 5353802525 10707605050 21415210100