Search a number
-
+
2132001110100 = 2235222513157117
BaseRepresentation
bin11111000001100101001…
…010110011100001010100
321112211001211020000120210
4133001211022303201110
5234412314241010400
64311232222525420
7310013655266451
oct37014512634124
97484054200523
102132001110100
117521a4055614
122a5242a36870
1312607bbb1604
1475291a22828
153a6d1872950
hex1f0652b3854

2132001110100 has 72 divisors (see below), whose sum is σ = 6171332210848. Its totient is φ = 568280880000.

The previous prime is 2132001110059. The next prime is 2132001110123. The reversal of 2132001110100 is 10111002312.

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 903259 + ... + 2253858.

Almost surely, 22132001110100 is an apocalyptic number.

2132001110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132001110100 is an abundant number, since it is smaller than the sum of its proper divisors (4039331100748).

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

2132001110100 is a wasteful number, since it uses less digits than its factorization.

2132001110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159385 (or 3159378 counting only the distinct ones).

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

Adding to 2132001110100 its reverse (10111002312), we get a palindrome (2142112112412).

The spelling of 2132001110100 in words is "two trillion, one hundred thirty-two billion, one million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2251 4502 6753 9004 11255 13506 22510 27012 33765 45020 56275 67530 112550 135060 168825 225100 337650 675300 3157117 6314234 9471351 12628468 15785585 18942702 31571170 37885404 47356755 63142340 78927925 94713510 157855850 189427020 236783775 315711700 473567550 947135100 7106670367 14213340734 21320011101 28426681468 35533351835 42640022202 71066703670 85280044404 106600055505 142133407340 177666759175 213200111010 355333518350 426400222020 533000277525 710667036700 1066000555050 2132001110100