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2220020122023 = 32111923280318307
BaseRepresentation
bin100000010011100011100…
…000101100000110100111
321212020021000112002221100
4200103203200230012213
5242333100122401043
64415510235451143
7316251111453534
oct40234340540647
97766230462840
102220020122023
11786561534a80
122ba3082b6ab3
13131468484ca2
14796417b3d8b
153cb33d44cd3
hex204e382c1a7

2220020122023 has 96 divisors (see below), whose sum is σ = 3844012124160. Its totient is φ = 1218731469120.

The previous prime is 2220020121961. The next prime is 2220020122049. The reversal of 2220020122023 is 3202210200222.

2220020122023 is a `hidden beast` number, since 2 + 220 + 0 + 201 + 220 + 23 = 666.

It is not a de Polignac number, because 2220020122023 - 218 = 2220019859879 is a prime.

It is a super-2 number, since 2×22200201220232 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2220020121987 and 2220020122005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220020122823) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 121257036 + ... + 121275342.

It is an arithmetic number, because the mean of its divisors is an integer number (40041792960).

Almost surely, 22220020122023 is an apocalyptic number.

2220020122023 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2220020122023 is a deficient number, since it is larger than the sum of its proper divisors (1623992002137).

2220020122023 is a wasteful number, since it uses less digits than its factorization.

2220020122023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21169 (or 21166 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2220020122023 its reverse (3202210200222), we get a palindrome (5422230322245).

The spelling of 2220020122023 in words is "two trillion, two hundred twenty billion, twenty million, one hundred twenty-two thousand, twenty-three".

Divisors: 1 3 9 11 19 23 33 57 69 99 171 207 209 253 437 627 759 1311 1881 2277 2803 3933 4807 8409 14421 18307 25227 30833 43263 53257 54921 64469 92499 159771 164763 193407 201377 277497 347833 421061 479313 580221 585827 604131 709159 1043499 1224911 1263183 1757481 1812393 2127477 3130497 3674733 3789549 3826163 4631671 5272443 6382431 8000159 11024199 11478489 13474021 13895013 24000477 34435467 40422063 41685039 51314521 72001431 88001749 121266189 153943563 264005247 461830689 564459731 792015741 974975899 1180233983 1693379193 2924927697 3540701949 5080137579 8774783091 10622105847 10724734889 12982573813 22424445677 32174204667 38947721439 67273337031 96522614001 116843164317 201820011093 246668902447 740006707341 2220020122023