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1110000100220 = 2251179409915581
BaseRepresentation
bin10000001001110001001…
…010010110001101111100
310221010002211000111022222
4100021301022112031330
5121141240011201340
62205532122224512
7143123560114454
oct20116112261574
93833084014288
101110000100220
11398826134330
1215b160955138
13808987cc23b
143ba1d654d64
151dd1887d8b5
hex1027129637c

1110000100220 has 96 divisors (see below), whose sum is σ = 2575891584000. Its totient is φ = 398404281600.

The previous prime is 1110000100219. The next prime is 1110000100243. The reversal of 1110000100220 is 220010000111.

It is a junction number, because it is equal to n+sod(n) for n = 1110000100198 and 1110000100207.

It is a congruent number.

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, 71232830 + ... + 71248410.

It is an arithmetic number, because the mean of its divisors is an integer number (26832204000).

Almost surely, 21110000100220 is an apocalyptic number.

1110000100220 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 1110000100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287945792000).

1110000100220 is an abundant number, since it is smaller than the sum of its proper divisors (1465891483780).

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

1110000100220 is a wasteful number, since it uses less digits than its factorization.

1110000100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19779 (or 19777 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1110000100220 its reverse (220010000111), we get a palindrome (1330010100331).

The spelling of 1110000100220 in words is "one trillion, one hundred ten billion, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 790 869 1580 1738 3476 4099 4345 8198 8690 15581 16396 17380 20495 31162 40990 45089 62324 77905 81980 90178 155810 171391 180356 225445 311620 323821 342782 450890 647642 685564 856955 901780 1230899 1295284 1619105 1713910 2461798 3238210 3427820 3562031 4923596 6154495 6476420 7124062 12308990 13539889 14248124 17810155 24617980 27079778 35620310 54159556 63866519 67699445 71240620 127733038 135398890 255466076 270797780 319332595 638665190 702531709 1277330380 1405063418 2810126836 3512658545 5045455001 7025317090 10090910002 14050634180 20181820004 25227275005 50454550010 55500005011 100909100020 111000010022 222000020044 277500025055 555000050110 1110000100220