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22021131300 = 22352744323671
BaseRepresentation
bin10100100000100011…
…111100110000100100
32002211200122101011120
4110200203330300210
5330044402200200
614041045133540
71406463345660
oct244043746044
962750571146
1022021131300
119380399973
1243269ba2b0
1320cc34030c
1410cc8c18a0
1588d4049a0
hex5208fcc24

22021131300 has 144 divisors (see below), whose sum is σ = 72983995392. Its totient is φ = 5021827200.

The previous prime is 22021131289. The next prime is 22021131311. The reversal of 22021131300 is 313112022.

It is an interprime number because it is at equal distance from previous prime (22021131289) and next prime (22021131311).

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 22021131300.

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, 918465 + ... + 942135.

Almost surely, 222021131300 is an apocalyptic number.

22021131300 is a gapful number since it is divisible by the number (20) 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 22021131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36491997696).

22021131300 is an abundant number, since it is smaller than the sum of its proper divisors (50962864092).

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

22021131300 is a wasteful number, since it uses less digits than its factorization.

22021131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24138 (or 24131 counting only the distinct ones).

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

Adding to 22021131300 its reverse (313112022), we get a palindrome (22334243322).

The spelling of 22021131300 in words is "twenty-two billion, twenty-one million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 443 525 700 886 1050 1329 1772 2100 2215 2658 3101 4430 5316 6202 6645 8860 9303 11075 12404 13290 15505 18606 22150 23671 26580 31010 33225 37212 44300 46515 47342 62020 66450 71013 77525 93030 94684 118355 132900 142026 155050 165697 186060 232575 236710 284052 310100 331394 355065 465150 473420 497091 591775 662788 710130 828485 930300 994182 1183550 1420260 1656970 1775325 1988364 2367100 2485455 3313940 3550650 4142425 4970910 7101300 8284850 9941820 10486253 12427275 16569700 20972506 24854550 31458759 41945012 49709100 52431265 62917518 73403771 104862530 125835036 146807542 157293795 209725060 220211313 262156325 293615084 314587590 367018855 440422626 524312650 629175180 734037710 786468975 880845252 1048625300 1101056565 1468075420 1572937950 1835094275 2202113130 3145875900 3670188550 4404226260 5505282825 7340377100 11010565650 22021131300