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1100233112220 = 22325113715018197
BaseRepresentation
bin10000000000101011000…
…000001111101010011100
310220011220010201002120200
4100000223000033222130
5121011234134042340
62201235021543500
7142326542102004
oct20005300175234
93804803632520
101100233112220
113946739aa720
12159295a14b90
137c9a0186cb8
143b374429004
151d94619b330
hex1002b00fa9c

1100233112220 has 144 divisors (see below), whose sum is σ = 3739170865248. Its totient is φ = 259514426880.

The previous prime is 1100233112219. The next prime is 1100233112287. The reversal of 1100233112220 is 222113320011.

1100233112220 is a `hidden beast` number, since 1 + 100 + 2 + 331 + 12 + 220 = 666.

It is a super-2 number, since 2×11002331122202 (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 junction number, because it is equal to n+sod(n) for n = 1100233112193 and 1100233112202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7435839 + ... + 7582358.

It is an arithmetic number, because the mean of its divisors is an integer number (25966464342).

Almost surely, 21100233112220 is an apocalyptic number.

1100233112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100233112220 is an abundant number, since it is smaller than the sum of its proper divisors (2638937753028).

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

1100233112220 is a wasteful number, since it uses less digits than its factorization.

1100233112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15018260 (or 15018255 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1100233112220 its reverse (222113320011), we get a palindrome (1322346432231).

The spelling of 1100233112220 in words is "one trillion, one hundred billion, two hundred thirty-three million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4884 6105 6660 7326 8140 12210 14652 18315 24420 36630 73260 15018197 30036394 45054591 60072788 75090985 90109182 135163773 150181970 165200167 180218364 225272955 270327546 300363940 330400334 450545910 495600501 540655092 555673289 660800668 675818865 826000835 901091820 991201002 1111346578 1351637730 1486801503 1652001670 1667019867 1982402004 2222693156 2478002505 2703275460 2778366445 2973603006 3304003340 3334039734 4956005010 5001059601 5556732890 5947206012 6112406179 6668079468 7434007515 8335099335 9912010020 10002119202 11113465780 12224812358 14868015030 16670198670 18337218537 20004238404 24449624716 25005298005 29736030060 30562030895 33340397340 36674437074 50010596010 55011655611 61124061790 73348874148 91686092685 100021192020 110023311222 122248123580 183372185370 220046622444 275058278055 366744370740 550116556110 1100233112220