Search a number
-
+
2221221311100 = 22325211224365789
BaseRepresentation
bin100000010100101011000…
…110110111001001111100
321212100100201202211120200
4200110223012313021330
5242343030123423400
64420225345243500
7316322635423521
oct40245306671174
97770321684520
102221221311100
11787018583120
122ba5a2633590
131315ca2a475c
1479717133148
153cba4517b00
hex2052b1b727c

2221221311100 has 108 divisors (see below), whose sum is σ = 7595230723080. Its totient is φ = 538477891200.

The previous prime is 2221221311093. The next prime is 2221221311117. The reversal of 2221221311100 is 11131221222.

2221221311100 is a `hidden beast` number, since 22 + 212 + 21 + 311 + 100 = 666.

It is a super-2 number, since 2×22212213111002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112172995 + ... + 112192794.

Almost surely, 22221221311100 is an apocalyptic number.

2221221311100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221221311100 is an abundant number, since it is smaller than the sum of its proper divisors (5374009411980).

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

2221221311100 is a wasteful number, since it uses less digits than its factorization.

2221221311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224365820 (or 224365810 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2221221311100 its reverse (11131221222), we get a palindrome (2232352532322).

It can be divided in two parts, 22212 and 21311100, that added together give a palindrome (21333312).

The spelling of 2221221311100 in words is "two trillion, two hundred twenty-one billion, two hundred twenty-one million, three hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 224365789 448731578 673097367 897463156 1121828945 1346194734 2019292101 2243657890 2468023679 2692389468 3365486835 4038584202 4487315780 4936047358 5609144725 6730973670 7404071037 8077168404 9872094716 10096460505 11218289450 12340118395 13461947340 14808142074 16827434175 20192921010 22212213111 22436578900 24680236790 29616284148 33654868350 37020355185 40385842020 44424426222 49360473580 50482302525 61700591975 67309736700 74040710370 88848852444 100964605050 111061065555 123401183950 148081420740 185101775925 201929210100 222122131110 246802367900 370203551850 444244262220 555305327775 740407103700 1110610655550 2221221311100