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22100102010 = 2325725011361
BaseRepresentation
bin10100100101010001…
…001100101101111010
32010001012020111121200
4110211101030231322
5330230111231020
614052545515030
71411442524200
oct244521145572
963035214550
1022100102010
119410a27818
124349342a76
13211280004c
1410d919b070
15895303590
hex52544cb7a

22100102010 has 72 divisors (see below), whose sum is σ = 66841546356. Its totient is φ = 5051450880.

The previous prime is 22100102009. The next prime is 22100102029. The reversal of 22100102010 is 1020100122.

It can be written as a sum of positive squares in 2 ways, for example, as 22099498281 + 603729 = 148659^2 + 777^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22100101983 and 22100102001.

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 35 ways as a sum of consecutive naturals, for example, 2501271 + ... + 2510090.

Almost surely, 222100102010 is an apocalyptic number.

22100102010 is an abundant number, since it is smaller than the sum of its proper divisors (44741444346).

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

22100102010 is a wasteful number, since it uses less digits than its factorization.

22100102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5011388 (or 5011378 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 22100102010 its reverse (1020100122), we get a palindrome (23120202132).

The spelling of 22100102010 in words is "twenty-two billion, one hundred million, one hundred two thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 5011361 10022722 15034083 25056805 30068166 35079527 45102249 50113610 70159054 75170415 90204498 105238581 150340830 175397635 210477162 225511245 245556689 315715743 350795270 451022490 491113378 526192905 631431486 736670067 1052385810 1227783445 1473340134 1578578715 2210010201 2455566890 3157157430 3683350335 4420020402 7366700670 11050051005 22100102010