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1110221201120 = 255101370918523
BaseRepresentation
bin10000001001111110010…
…101110001111011100000
310221010200020001120202012
4100021332111301323200
5121142213111413440
62210010101212052
7143132213334503
oct20117625617340
93833606046665
101110221201120
11398929a19749
1215b202a01028
1380902563a85
143ba40b6b13a
151dd2cea4e65
hex1027e571ee0

1110221201120 has 96 divisors (see below), whose sum is σ = 2649724086240. Its totient is φ = 439549286400.

The previous prime is 1110221201113. The next prime is 1110221201179. The reversal of 1110221201120 is 211021220111.

It is a super-2 number, since 2×11102212011202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1110221201095 and 1110221201104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59928179 + ... + 59946701.

It is an arithmetic number, because the mean of its divisors is an integer number (27601292565).

Almost surely, 21110221201120 is an apocalyptic number.

1110221201120 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 1110221201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324862043120).

1110221201120 is an abundant number, since it is smaller than the sum of its proper divisors (1539502885120).

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

1110221201120 is a wasteful number, since it uses less digits than its factorization.

1110221201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22348 (or 22340 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1110221201120 its reverse (211021220111), we get a palindrome (1321242421231).

The spelling of 1110221201120 in words is "one trillion, one hundred ten billion, two hundred twenty-one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 404 505 808 1010 1616 2020 3232 3709 4040 7418 8080 14836 16160 18523 18545 29672 37046 37090 59344 74092 74180 92615 118688 148184 148360 185230 296368 296720 370460 374609 592736 593440 740920 749218 1481840 1498436 1870823 1873045 2963680 2996872 3741646 3746090 5993744 7483292 7492180 9354115 11987488 14966584 14984360 18708230 29933168 29968720 37416460 59866336 59937440 68701807 74832920 137403614 149665840 274807228 299331680 343509035 549614456 687018070 1099228912 1374036140 2198457824 2748072280 5496144560 6938882507 10992289120 13877765014 27755530028 34694412535 55511060056 69388825070 111022120112 138777650140 222044240224 277555300280 555110600560 1110221201120