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20101100102220 = 22351753361752837
BaseRepresentation
bin1001001001000001001101…
…11011100110001001001100
32122011122110020010211110010
410210200212323212021030
510113314023111232340
6110430152400113220
74143153666510324
oct444404673461114
978148406124403
1020101100102220
11644a912a78225
122307889905810
13b2a6aa9ab827
144d6c81446284
1524cd20976b80
hex124826ee624c

20101100102220 has 96 divisors (see below), whose sum is σ = 56331822714048. Its totient is φ = 5355653087232.

The previous prime is 20101100102219. The next prime is 20101100102249. The reversal of 20101100102220 is 2220100110102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20101100102196 and 20101100102205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380409642 + ... + 380462478.

It is an arithmetic number, because the mean of its divisors is an integer number (586789819938).

Almost surely, 220101100102220 is an apocalyptic number.

20101100102220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101100102220 is an abundant number, since it is smaller than the sum of its proper divisors (36230722611828).

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

20101100102220 is a wasteful number, since it uses less digits than its factorization.

20101100102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58219 (or 58217 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20101100102220 its reverse (2220100110102), we get a palindrome (22321200212322).

The spelling of 20101100102220 in words is "twenty trillion, one hundred one billion, one hundred million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1753 3506 3617 5259 7012 7234 8765 10518 10851 14468 17530 18085 21036 21702 26295 35060 36170 43404 52590 52837 54255 72340 105180 105674 108510 158511 211348 217020 264185 317022 528370 634044 792555 1056740 1585110 3170220 6340601 12681202 19021803 25362404 31703005 38043606 63406010 76087212 92623261 95109015 126812020 185246522 190218030 191111429 277869783 370493044 380436060 382222858 463116305 555739566 573334287 764445716 926232610 955557145 1111479132 1146668574 1389348915 1852465220 1911114290 2293337148 2778697830 2866671435 3822228580 5557395660 5733342870 11466685740 335018335037 670036670074 1005055005111 1340073340148 1675091675185 2010110010222 3350183350370 4020220020444 5025275025555 6700366700740 10050550051110 20101100102220