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202100022200011 = 13232961283380327
BaseRepresentation
bin101101111100111100010100…
…000010000100011011001011
3222111120120111000220010110211
4231330330110002010123023
5202442201321140400021
61553455245105221551
760366146644432255
oct5574742402043313
9874516430803424
10202100022200011
1159439157882451
121a8004086318b7
13889cc47b06590
1437c999c472cd5
1518571431de3e1
hexb7cf140846cb

202100022200011 has 32 divisors (see below), whose sum is σ = 234944853212160. Its totient is φ = 172286363593344.

The previous prime is 202100022199979. The next prime is 202100022200047. The reversal of 202100022200011 is 110002220001202.

It is a happy number.

It is not a de Polignac number, because 202100022200011 - 25 = 202100022199979 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 202100022199964 and 202100022200000.

It is not an unprimeable number, because it can be changed into a prime (202100022200411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531194730 + ... + 531575056.

It is an arithmetic number, because the mean of its divisors is an integer number (7342026662880).

Almost surely, 2202100022200011 is an apocalyptic number.

202100022200011 is a deficient number, since it is larger than the sum of its proper divisors (32844831012149).

202100022200011 is a wasteful number, since it uses less digits than its factorization.

202100022200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441675.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202100022200011 its reverse (110002220001202), we get a palindrome (312102242201213).

The spelling of 202100022200011 in words is "two hundred two trillion, one hundred billion, twenty-two million, two hundred thousand, eleven".

Divisors: 1 13 23 29 299 377 667 8671 61283 380327 796679 1409509 1777207 4944251 8747521 11029483 18323617 23103691 40875761 113717773 143383279 253678109 531384893 3297815417 23307579541 302998534033 536074329443 675919806689 6968966282759 8786957486957 15546155553847 202100022200011