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110022211101220 = 225111797730110239
BaseRepresentation
bin11001000001000010001010…
…110011110110001000100100
3112102120000120001122122000121
4121001002022303312020210
5103410100442020214340
61025555301144451324
732113561645666645
oct3101021263661044
9472500501578017
10110022211101220
11320691809912a0
121040b05ba79b44
134951085a965c2
141d25163b536cc
15cabde463e94a
hex64108acf6224

110022211101220 has 96 divisors (see below), whose sum is σ = 267150575139840. Its totient is φ = 37616118128640.

The previous prime is 110022211101211. The next prime is 110022211101227. The reversal of 110022211101220 is 22101112220011.

It is a junction number, because it is equal to n+sod(n) for n = 110022211101194 and 110022211101203.

It is not an unprimeable number, because it can be changed into a prime (110022211101227) 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, 11401140 + ... + 18709099.

It is an arithmetic number, because the mean of its divisors is an integer number (2782818491040).

Almost surely, 2110022211101220 is an apocalyptic number.

110022211101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110022211101220 is an abundant number, since it is smaller than the sum of its proper divisors (157128364038620).

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

110022211101220 is a wasteful number, since it uses less digits than its factorization.

110022211101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30111253 (or 30111251 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 110022211101220 its reverse (22101112220011), we get a palindrome (132123323321231).

It can be divided in two parts, 11002221 and 1101220, that added together give a square (12103441 = 34792).

The spelling of 110022211101220 in words is "one hundred ten trillion, twenty-two billion, two hundred eleven million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 977 1870 1954 3740 3908 4885 9770 10747 16609 19540 21494 33218 42988 53735 66436 83045 107470 166090 182699 214940 332180 365398 730796 913495 1826990 3653980 30110239 60220478 120440956 150551195 301102390 331212629 511874063 602204780 662425258 1023748126 1324850516 1656063145 2047496252 2559370315 3312126290 5118740630 5630614693 6624252580 10237481260 11261229386 22522458772 28153073465 29417703503 56306146930 58835407006 112612293860 117670814012 147088517515 294177035030 323594738533 500100959551 588354070060 647189477066 1000201919102 1294378954132 1617973692665 2000403838204 2500504797755 3235947385330 5001009595510 5501110555061 6471894770660 10002019191020 11002221110122 22004442220244 27505552775305 55011105550610 110022211101220