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11220100020 = 22335191093577
BaseRepresentation
bin10100111001100010…
…10010001110110100
31001221221121010201000
422130301102032310
5140434321200040
65053205403300
7545021163603
oct123461221664
931857533630
1011220100020
1148384aa238
122211709530
13109a6cb74c
14786205a3a
1545a069130
hex29cc523b4

11220100020 has 96 divisors (see below), whose sum is σ = 36744220800. Its totient is φ = 2834548992.

The previous prime is 11220100019. The next prime is 11220100027. The reversal of 11220100020 is 2000102211.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11220099975 and 11220100011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220100027) 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, 536529 + ... + 557048.

It is an arithmetic number, because the mean of its divisors is an integer number (382752300).

Almost surely, 211220100020 is an apocalyptic number.

11220100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220100020 is an abundant number, since it is smaller than the sum of its proper divisors (25524120780).

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

11220100020 is a wasteful number, since it uses less digits than its factorization.

11220100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093614 (or 1093606 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11220100020 its reverse (2000102211), we get a palindrome (13220202231).

The spelling of 11220100020 in words is "eleven billion, two hundred twenty million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 5130 10260 1093577 2187154 3280731 4374308 5467885 6561462 9842193 10935770 13122924 16403655 19684386 20777963 21871540 29526579 32807310 39368772 41555926 49210965 59053158 62333889 65614620 83111852 98421930 103889815 118106316 124667778 147632895 187001667 196843860 207779630 249335556 295265790 311669445 374003334 415559260 561005001 590531580 623338890 748006668 935008335 1122010002 1246677780 1870016670 2244020004 2805025005 3740033340 5610050010 11220100020