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20102233340 = 22572293122817
BaseRepresentation
bin10010101110001011…
…111011110011111100
31220212221220021000202
4102232023323303330
5312132132431330
613122420343032
71311103110200
oct225613736374
956787807022
1020102233340
118586206492
123a90244a78
131b84920b37
14d89ad8b00
157c9c12445
hex4ae2fbcfc

20102233340 has 144 divisors (see below), whose sum is σ = 52441240320. Its totient is φ = 6439587840.

The previous prime is 20102233279. The next prime is 20102233363. The reversal of 20102233340 is 4333220102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 869612 + ... + 892428.

It is an arithmetic number, because the mean of its divisors is an integer number (364175280).

Almost surely, 220102233340 is an apocalyptic number.

20102233340 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 20102233340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26220620160).

20102233340 is an abundant number, since it is smaller than the sum of its proper divisors (32339006980).

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

20102233340 is a wasteful number, since it uses less digits than its factorization.

20102233340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22900 (or 22891 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 20102233340 its reverse (4333220102), we get a palindrome (24435453442).

The spelling of 20102233340 in words is "twenty billion, one hundred two million, two hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 31 35 49 58 62 70 98 116 124 140 145 155 196 203 217 245 290 310 406 434 490 580 620 812 868 899 980 1015 1085 1421 1519 1798 2030 2170 2842 3038 3596 4060 4340 4495 5684 6076 6293 7105 7595 8990 12586 14210 15190 17980 22817 25172 28420 30380 31465 44051 45634 62930 88102 91268 114085 125860 159719 176204 220255 228170 319438 440510 456340 638876 661693 707327 798595 881020 1118033 1323386 1414654 1597190 2236066 2646772 2829308 3194380 3308465 3536635 4472132 4631851 4951289 5590165 6616930 7073270 9263702 9902578 11180330 13233860 14146540 18527404 19805156 20512483 22360660 23159255 24756445 32422957 34659023 41024966 46318510 49512890 64845914 69318046 82049932 92637020 99025780 102562415 129691828 138636092 143587381 162114785 173295115 205124830 287174762 324229570 346590230 410249660 574349524 648459140 693180460 717936905 1005111667 1435873810 2010223334 2871747620 4020446668 5025558335 10051116670 20102233340