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1100022210120 = 233553832083849
BaseRepresentation
bin10000000000011110011…
…011101101111001001000
310220011100102212011021210
4100000132123231321020
5121010321141210440
62201202045333120
7142321401340041
oct20003633557110
93804312764253
101100022210120
11394575950869
121592372671a0
137c968583662
143b3544098c8
151d9328dba80
hex1001e6ede48

1100022210120 has 128 divisors (see below), whose sum is σ = 3402843696000. Its totient is φ = 284336891904.

The previous prime is 1100022210103. The next prime is 1100022210137. The reversal of 1100022210120 is 210122200011.

It is an interprime number because it is at equal distance from previous prime (1100022210103) and next prime (1100022210137).

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 = 1100022210096 and 1100022210105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 514045 + ... + 1569804.

It is an arithmetic number, because the mean of its divisors is an integer number (26584716375).

Almost surely, 21100022210120 is an apocalyptic number.

1100022210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100022210120 is an abundant number, since it is smaller than the sum of its proper divisors (2302821485880).

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

1100022210120 is a wasteful number, since it uses less digits than its factorization.

1100022210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083999 (or 2083995 counting only the distinct ones).

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

Adding to 1100022210120 its reverse (210122200011), we get a palindrome (1310144410131).

The spelling of 1100022210120 in words is "one trillion, one hundred billion, twenty-two million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 83 106 120 159 166 212 249 265 318 332 415 424 498 530 636 664 795 830 996 1060 1245 1272 1590 1660 1992 2120 2490 3180 3320 4399 4980 6360 8798 9960 13197 17596 21995 26394 35192 43990 52788 65985 87980 105576 131970 175960 263940 527880 2083849 4167698 6251547 8335396 10419245 12503094 16670792 20838490 25006188 31257735 41676980 50012376 62515470 83353960 110443997 125030940 172959467 220887994 250061880 331331991 345918934 441775988 518878401 552219985 662663982 691837868 864797335 883551976 1037756802 1104439970 1325327964 1383675736 1656659955 1729594670 2075513604 2208879940 2594392005 2650655928 3313319910 3459189340 4151027208 4417759880 5188784010 6626639820 6918378680 9166851751 10377568020 13253279640 18333703502 20755136040 27500555253 36667407004 45834258755 55001110506 73334814008 91668517510 110002221012 137502776265 183337035020 220004442024 275005552530 366674070040 550011105060 1100022210120