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12022313100 = 2235276193851
BaseRepresentation
bin10110011001001010…
…11111000010001100
31011000212002210011120
423030211133002030
5144110203004400
65304543520540
7603631655340
oct131445370214
934025083146
1012022313100
11510a311856
1223b62b9150
131197977a45
14820989620
154a56cbca0
hex2cc95f08c

12022313100 has 144 divisors (see below), whose sum is σ = 40405913856. Its totient is φ = 2702880000.

The previous prime is 12022313053. The next prime is 12022313153. The reversal of 12022313100 is 131322021.

It is a super-2 number, since 2×120223131002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12022313100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81175 + ... + 175025.

It is an arithmetic number, because the mean of its divisors is an integer number (280596624).

Almost surely, 212022313100 is an apocalyptic number.

12022313100 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 12022313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20202956928).

12022313100 is an abundant number, since it is smaller than the sum of its proper divisors (28383600756).

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

12022313100 is a wasteful number, since it uses less digits than its factorization.

12022313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93936 (or 93929 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12022313100 its reverse (131322021), we get a palindrome (12153635121).

The spelling of 12022313100 in words is "twelve billion, twenty-two million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 61 70 75 84 100 105 122 140 150 175 183 210 244 300 305 350 366 420 427 525 610 700 732 854 915 1050 1220 1281 1525 1708 1830 2100 2135 2562 3050 3660 4270 4575 5124 6100 6405 8540 9150 10675 12810 18300 21350 25620 32025 42700 64050 93851 128100 187702 281553 375404 469255 563106 656957 938510 1126212 1313914 1407765 1877020 1970871 2346275 2627828 2815530 3284785 3941742 4692550 5631060 5724911 6569570 7038825 7883484 9385100 9854355 11449822 13139140 14077650 16423925 17174733 19708710 22899644 28155300 28624555 32847850 34349466 39417420 40074377 49271775 57249110 65695700 68698932 80148754 85873665 98543550 114498220 120223131 143122775 160297508 171747330 197087100 200371885 240446262 286245550 343494660 400743770 429368325 480892524 572491100 601115655 801487540 858736650 1001859425 1202231310 1717473300 2003718850 2404462620 3005578275 4007437700 6011156550 12022313100