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112002222020 = 2251312728112071
BaseRepresentation
bin110100001001111011…
…0100100011111000100
3101201002121221101122012
41220103312210133010
53313340032101040
6123241512153352
711043343115303
oct1502366443704
9351077841565
10112002222020
1143555375157
1219859398858
13a73c271770
1455c709a43a
152da7c98865
hex1a13da47c4

112002222020 has 96 divisors (see below), whose sum is σ = 256221536256. Its totient is φ = 40879641600.

The previous prime is 112002222011. The next prime is 112002222041. The reversal of 112002222020 is 20222200211.

It is a junction number, because it is equal to n+sod(n) for n = 112002221986 and 112002222004.

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, 9272585 + ... + 9284655.

It is an arithmetic number, because the mean of its divisors is an integer number (2668974336).

Almost surely, 2112002222020 is an apocalyptic number.

112002222020 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 112002222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128110768128).

112002222020 is an abundant number, since it is smaller than the sum of its proper divisors (144219314236).

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

112002222020 is a wasteful number, since it uses less digits than its factorization.

112002222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12501 (or 12499 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 112002222020 its reverse (20222200211), we get a palindrome (132224422231).

The spelling of 112002222020 in words is "one hundred twelve billion, two million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 127 130 254 260 281 508 562 635 1124 1270 1405 1651 2540 2810 3302 3653 5620 6604 7306 8255 12071 14612 16510 18265 24142 33020 35687 36530 48284 60355 71374 73060 120710 142748 156923 178435 241420 313846 356870 463931 627692 713740 784615 927862 1533017 1569230 1855724 2319655 3066034 3138460 3391951 4639310 6132068 6783902 7665085 9278620 13567804 15330170 16959755 19929221 30660340 33919510 39858442 44095363 67839020 79716884 88190726 99646105 176381452 199292210 220476815 398584420 430777777 440953630 861555554 881907260 1723111108 2153888885 4307777770 5600111101 8615555540 11200222202 22400444404 28000555505 56001111010 112002222020