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21322133312100 = 22352371920912911
BaseRepresentation
bin1001101100100011100100…
…01011101001001001100100
32210111101011010112201011220
410312101302023221021210
510243320212111441400
6113203130335300340
74330321224526065
oct466216213511144
983441133481156
1021322133312100
11688073642a1a5
12248445737a6b0
13bb888ca3834a
14539dd516a56c
1526e986e6e7a0
hex1364722e9264

21322133312100 has 72 divisors (see below), whose sum is σ = 63359391489408. Its totient is φ = 5532229180800.

The previous prime is 21322133312089. The next prime is 21322133312213. The reversal of 21322133312100 is 121333122312.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 960445356 + ... + 960467555.

It is an arithmetic number, because the mean of its divisors is an integer number (879991548464).

Almost surely, 221322133312100 is an apocalyptic number.

21322133312100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21322133312100 is an abundant number, since it is smaller than the sum of its proper divisors (42037258177308).

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

21322133312100 is a wasteful number, since it uses less digits than its factorization.

21322133312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920912965 (or 1920912958 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 21322133312100 its reverse (121333122312), we get a palindrome (21443466434412).

The spelling of 21322133312100 in words is "twenty-one trillion, three hundred twenty-two billion, one hundred thirty-three million, three hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 1920912911 3841825822 5762738733 7683651644 9604564555 11525477466 19209129110 23050954932 28813693665 38418258220 48022822775 57627387330 71073777707 96045645550 115254774660 142147555414 144068468325 192091291100 213221333121 284295110828 288136936650 355368888535 426442666242 576273873300 710737777070 852885332484 1066106665605 1421475554140 1776844442675 2132213331210 3553688885350 4264426662420 5330533328025 7107377770700 10661066656050 21322133312100