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2132022100 = 2252131640017
BaseRepresentation
bin111111100010100…
…0001001101010100
312111120202221111111
41333011001031110
513331244201400
6551320344404
7103555613605
oct17705011524
95446687444
102132022100
119a451a83a
124b6015104
1327c920350
14163223dac
15c72903ba
hex7f141354

2132022100 has 36 divisors (see below), whose sum is σ = 4982374684. Its totient is φ = 787207680.

The previous prime is 2132022047. The next prime is 2132022107. The reversal of 2132022100 is 12202312.

It can be written as a sum of positive squares in 6 ways, for example, as 447576336 + 1684445764 = 21156^2 + 41042^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132022107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 818709 + ... + 821308.

Almost surely, 22132022100 is an apocalyptic number.

2132022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132022100 is an abundant number, since it is smaller than the sum of its proper divisors (2850352584).

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

2132022100 is a wasteful number, since it uses less digits than its factorization.

2132022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640044 (or 1640037 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2132022100 is about 46173.8248361558. The cubic root of 2132022100 is about 1287.0553791977.

Adding to 2132022100 its reverse (12202312), we get a palindrome (2144224412).

The spelling of 2132022100 in words is "two billion, one hundred thirty-two million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1640017 3280034 6560068 8200085 16400170 21320221 32800340 41000425 42640442 82000850 85280884 106601105 164001700 213202210 426404420 533005525 1066011050 2132022100