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1100211013220 = 2251115770944927
BaseRepresentation
bin10000000000101001101…
…011111100011001100100
310220011211121010100110012
4100000221223330121210
5121011213004410340
62201232512145352
7142326153211304
oct20005153743144
93804747110405
101100211013220
11394662486390
1215928a538258
137c99871a377
143b371515604
151d944283565
hex10029afc664

1100211013220 has 96 divisors (see below), whose sum is σ = 2540171612160. Its totient is φ = 396958947840.

The previous prime is 1100211013199. The next prime is 1100211013277. The reversal of 1100211013220 is 223101120011.

It is a super-2 number, since 2×11002110132202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1100211013195 and 1100211013204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24466397 + ... + 24511323.

It is an arithmetic number, because the mean of its divisors is an integer number (26460120960).

Almost surely, 21100211013220 is an apocalyptic number.

1100211013220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100211013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270085806080).

1100211013220 is an abundant number, since it is smaller than the sum of its proper divisors (1439960598940).

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

1100211013220 is a wasteful number, since it uses less digits than its factorization.

1100211013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45813 (or 45811 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1100211013220 its reverse (223101120011), we get a palindrome (1323312133231).

The spelling of 1100211013220 in words is "one trillion, one hundred billion, two hundred eleven million, thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 157 220 314 628 709 785 1418 1570 1727 2836 3140 3454 3545 6908 7090 7799 8635 14180 15598 17270 31196 34540 38995 44927 77990 89854 111313 155980 179708 222626 224635 445252 449270 494197 556565 898540 988394 1113130 1224443 1976788 2226260 2448886 2470985 4897772 4941970 6122215 7053539 9883940 12244430 14107078 24488860 28214156 31853243 35267695 63706486 70535390 77588929 127412972 141070780 155177858 159266215 310355716 318532430 350385673 387944645 637064860 700771346 775889290 1401542692 1551778580 1751928365 3503856730 5000959151 7007713460 10001918302 20003836604 25004795755 50009591510 55010550661 100019183020 110021101322 220042202644 275052753305 550105506610 1100211013220