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21102211011020 = 22517219331888723
BaseRepresentation
bin1001100110001001111011…
…10010101001000111001100
32202201100111100221021022112
410303010331302221013030
510231214312004323040
6112514115533203152
74305404314025456
oct463047562510714
982640440837275
1021102211011020
1167a6440a89367
1224498bb9304b8
13ba0c12177449
1452d4d122b2d6
15268db49cb365
hex13313dca91cc

21102211011020 has 72 divisors (see below), whose sum is σ = 47099102833104. Its totient is φ = 7940247727104.

The previous prime is 21102211011001. The next prime is 21102211011041. The reversal of 21102211011020 is 2011011220112.

It is a super-2 number, since 2×211022110110202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21102211010986 and 21102211011004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10228379 + ... + 12117101.

Almost surely, 221102211011020 is an apocalyptic number.

21102211011020 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 21102211011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23549551416552).

21102211011020 is an abundant number, since it is smaller than the sum of its proper divisors (25996891822084).

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

21102211011020 is a wasteful number, since it uses less digits than its factorization.

21102211011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890699 (or 1890680 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21102211011020 its reverse (2011011220112), we get a palindrome (23113222231132).

The spelling of 21102211011020 in words is "twenty-one trillion, one hundred two billion, two hundred eleven million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 1933 2890 3866 5780 7732 9665 19330 32861 38660 65722 131444 164305 328610 558637 657220 1117274 1888723 2234548 2793185 3777446 5586370 7554892 9443615 11172740 18887230 32108291 37774460 64216582 128433164 160541455 321082910 545840947 642165820 1091681894 2183363788 2729204735 3650901559 5458409470 7301803118 10916818940 14603606236 18254507795 36509015590 62065326503 73018031180 124130653006 248261306012 310326632515 620653265030 1055110550551 1241306530060 2110221101102 4220442202204 5275552752755 10551105505510 21102211011020