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220101220100 = 225237350911593
BaseRepresentation
bin1100110011111100001…
…1100001011100000100
3210001010020021110121202
43030333003201130010
512101231403020400
6245040233002032
721621212334146
oct3147703413404
9701106243552
10220101220100
11853874453a3
12367a7553318
13179a8976a58
14a91d9d4c96
155ad30364d5
hex333f0e1704

220101220100 has 72 divisors (see below), whose sum is σ = 479882384520. Its totient is φ = 87624391680.

The previous prime is 220101220093. The next prime is 220101220121. The reversal of 220101220100 is 1022101022.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 860014276 + 219241205824 = 29326^2 + 468232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18979904 + ... + 18991496.

Almost surely, 2220101220100 is an apocalyptic number.

220101220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220101220100 is an abundant number, since it is smaller than the sum of its proper divisors (259781164420).

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

220101220100 is a wasteful number, since it uses less digits than its factorization.

220101220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12489 (or 12482 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 220101220100 its reverse (1022101022), we get a palindrome (221123321122).

The spelling of 220101220100 in words is "two hundred twenty billion, one hundred one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 373 509 746 1018 1492 1865 2036 2545 3730 5090 7460 9325 10180 11593 12725 18650 23186 25450 37300 46372 50900 57965 115930 189857 231860 289825 379714 579650 759428 949285 1159300 1898570 3797140 4324189 4746425 5900837 8648378 9492850 11801674 17296756 18985700 21620945 23603348 29504185 43241890 59008370 86483780 108104725 118016740 147520925 216209450 295041850 432418900 590083700 2201012201 4402024402 8804048804 11005061005 22010122010 44020244020 55025305025 110050610050 220101220100