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2211111111220 = 22511471012117233
BaseRepresentation
bin100000001011010000011…
…111100000101000110100
321211101021010122110122021
4200023100133200220310
5242211323421024340
64411434224442524
7315514252225234
oct40132037405064
97741233573567
102211111111220
117827aa640330
122b8640779444
13130678811c6b
14790384c5cc4
153c7b1b3ce4a
hex202d07e0a34

2211111111220 has 96 divisors (see below), whose sum is σ = 5224452742656. Its totient is φ = 779141376000.

The previous prime is 2211111111203. The next prime is 2211111111227. The reversal of 2211111111220 is 221111111122.

It is a junction number, because it is equal to n+sod(n) for n = 2211111111194 and 2211111111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211111111227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14277 + ... + 2102956.

It is an arithmetic number, because the mean of its divisors is an integer number (54421382736).

Almost surely, 22211111111220 is an apocalyptic number.

2211111111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211111111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612226371328).

2211111111220 is an abundant number, since it is smaller than the sum of its proper divisors (3013341631436).

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

2211111111220 is a wasteful number, since it uses less digits than its factorization.

2211111111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117401 (or 2117399 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 2211111111220 its reverse (221111111122), we get a palindrome (2432222222342).

It can be divided in two parts, 221111 and 1111220, that added together give a palindrome (1332331).

The spelling of 2211111111220 in words is "two trillion, two hundred eleven billion, one hundred eleven million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 101 110 188 202 220 235 404 470 505 517 940 1010 1034 1111 2020 2068 2222 2585 4444 4747 5170 5555 9494 10340 11110 18988 22220 23735 47470 52217 94940 104434 208868 261085 522170 1044340 2117233 4234466 8468932 10586165 21172330 23289563 42344660 46579126 93158252 99509951 116447815 199019902 213840533 232895630 398039804 427681066 465791260 497549755 855362132 995099510 1069202665 1094609461 1990199020 2138405330 2189218922 2352245863 4276810660 4378437844 4704491726 5473047305 9408983452 10050505051 10946094610 11761229315 20101010102 21892189220 23522458630 40202020204 47044917260 50252525255 100505050510 110555555561 201010101020 221111111122 442222222244 552777777805 1105555555610 2211111111220