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21032002100 = 22521409149269
BaseRepresentation
bin10011100101100110…
…101110001000110100
32000021202102101222202
4103211212232020310
5321033143031400
613354552444032
71343123032244
oct234546561064
960252371882
1021032002100
118a1302051a
1240ab6a9618
131ca243b175
1410373a3b24
1583166e4d5
hex4e59ae234

21032002100 has 36 divisors (see below), whose sum is σ = 45672141900. Its totient is φ = 8406773760.

The previous prime is 21032002099. The next prime is 21032002127. The reversal of 21032002100 is 120023012.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3853181476 + 17178820624 = 62074^2 + 131068^2 .

It is a super-2 number, since 2×210320021002 (a number of 21 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 66266 + ... + 215534.

Almost surely, 221032002100 is an apocalyptic number.

21032002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21032002100 is an abundant number, since it is smaller than the sum of its proper divisors (24640139800).

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

21032002100 is a wasteful number, since it uses less digits than its factorization.

21032002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150692 (or 150685 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 21032002100 its reverse (120023012), we get a palindrome (21152025112).

The spelling of 21032002100 in words is "twenty-one billion, thirty-two million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1409 2818 5636 7045 14090 28180 35225 70450 140900 149269 298538 597076 746345 1492690 2985380 3731725 7463450 14926900 210320021 420640042 841280084 1051600105 2103200210 4206400420 5258000525 10516001050 21032002100