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1111200100120 = 2351131571142673
BaseRepresentation
bin10000001010111000101…
…011111110111100011000
310221020012110000210201201
4100022320223332330120
5121201214211200440
62210251150323544
7143165401002445
oct20127053767430
93836173023651
101111200100120
1139929153aa90
1215b4367b95b4
1380a2a2c3656
143bad4b849cc
151dd88db919a
hex102b8afef18

1111200100120 has 128 divisors (see below), whose sum is σ = 2820425287680. Its totient is φ = 390350592000.

The previous prime is 1111200100111. The next prime is 1111200100123. The reversal of 1111200100120 is 210010021111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1111200100097 and 1111200100106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111200100123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7717104 + ... + 7859776.

It is an arithmetic number, because the mean of its divisors is an integer number (22034572560).

Almost surely, 21111200100120 is an apocalyptic number.

1111200100120 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 1111200100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410212643840).

1111200100120 is an abundant number, since it is smaller than the sum of its proper divisors (1709225187560).

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

1111200100120 is a wasteful number, since it uses less digits than its factorization.

1111200100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143297 (or 143293 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1111200100120 its reverse (210010021111), we get a palindrome (1321210121231).

The spelling of 1111200100120 in words is "one trillion, one hundred eleven billion, two hundred million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 571 620 682 1142 1240 1364 1705 2284 2728 2855 3410 4568 5710 6281 6820 11420 12562 13640 17701 22840 25124 31405 35402 50248 62810 70804 88505 125620 141608 142673 177010 194711 251240 285346 354020 389422 570692 708040 713365 778844 973555 1141384 1426730 1557688 1569403 1947110 2853460 3138806 3894220 4422863 5706920 6277612 7788440 7847015 8845726 12555224 15694030 17691452 22114315 31388060 35382904 44228630 48651493 62776120 81466283 88457260 97302986 162932566 176914520 194605972 243257465 325865132 389211944 407331415 486514930 651730264 814662830 896129113 973029860 1629325660 1792258226 1946059720 2525454773 3258651320 3584516452 4480645565 5050909546 7169032904 8961291130 10101819092 12627273865 17922582260 20203638184 25254547730 27780002503 35845164520 50509095460 55560005006 101018190920 111120010012 138900012515 222240020024 277800025030 555600050060 1111200100120