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22001211300 = 22352178774919
BaseRepresentation
bin10100011111010111…
…111101011110100100
32002210022011100001210
4110133113331132210
5330024302230200
614035054151420
71406132132115
oct243727753644
962708140053
1022001211300
119370123762
1243201b2570
1320c8187433
1410c9db820c
1588b7bc650
hex51f5fd7a4

22001211300 has 144 divisors (see below), whose sum is σ = 67491930240. Its totient is φ = 5514455040.

The previous prime is 22001211289. The next prime is 22001211319. The reversal of 22001211300 is 311210022.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 4470241 + ... + 4475159.

It is an arithmetic number, because the mean of its divisors is an integer number (468693960).

Almost surely, 222001211300 is an apocalyptic number.

22001211300 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 22001211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33745965120).

22001211300 is an abundant number, since it is smaller than the sum of its proper divisors (45490718940).

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

22001211300 is a wasteful number, since it uses less digits than its factorization.

22001211300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5830 (or 5823 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 22001211300 its reverse (311210022), we get a palindrome (22312421322).

The spelling of 22001211300 in words is "twenty-two billion, one million, two hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 877 1020 1275 1700 1754 2550 2631 3508 4385 4919 5100 5262 8770 9838 10524 13155 14757 14909 17540 19676 21925 24595 26310 29514 29818 43850 44727 49190 52620 59028 59636 65775 73785 74545 83623 87700 89454 98380 122975 131550 147570 149090 167246 178908 223635 245950 250869 263100 295140 298180 334492 368925 372725 418115 447270 491900 501738 737850 745450 836230 894540 1003476 1118175 1254345 1475700 1490900 1672460 2090575 2236350 2508690 4181150 4313963 4472700 5017380 6271725 8362300 8627926 12543450 12941889 17255852 21569815 25086900 25883778 43139630 51767556 64709445 73337371 86279260 107849075 129418890 146674742 215698150 220012113 258837780 293349484 323547225 366686855 431396300 440024226 647094450 733373710 880048452 1100060565 1294188900 1466747420 1833434275 2200121130 3666868550 4400242260 5500302825 7333737100 11000605650 22001211300