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10020222011200 = 26528375453479
BaseRepresentation
bin1001000111010000001111…
…0001100000011101000000
31022110220221111111212012011
42101310003301200131000
52303132403313324300
633151120524542304
72052636304532212
oct221640361403500
938426844455164
1010020222011200
11321360910a375
121159ba00b1994
13578b9782611b
14268da4ac65b2
151259b0414eba
hex91d03c60740

10020222011200 has 84 divisors (see below), whose sum is σ = 24953069463840. Its totient is φ = 3959798525440.

The previous prime is 10020222011183. The next prime is 10020222011209. The reversal of 10020222011200 is 211022202001.

It is a happy number.

It is a super-3 number, since 3×100202220112003 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020222011209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37593940 + ... + 37859539.

It is an arithmetic number, because the mean of its divisors is an integer number (297060350760).

Almost surely, 210020222011200 is an apocalyptic number.

10020222011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020222011200 is an abundant number, since it is smaller than the sum of its proper divisors (14932847452640).

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

10020222011200 is an equidigital number, since it uses as much as digits as its factorization.

10020222011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75453584 (or 75453569 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10020222011200 its reverse (211022202001), we get a palindrome (10231244213201).

The spelling of 10020222011200 in words is "ten trillion, twenty billion, two hundred twenty-two million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 83 100 160 166 200 320 332 400 415 664 800 830 1328 1600 1660 2075 2656 3320 4150 5312 6640 8300 13280 16600 26560 33200 66400 132800 75453479 150906958 301813916 377267395 603627832 754534790 1207255664 1509069580 1886336975 2414511328 3018139160 3772673950 4829022656 6036278320 6262638757 7545347900 12072556640 12525277514 15090695800 24145113280 25050555028 30181391600 31313193785 50101110056 60362783200 62626387570 100202220112 120725566400 125252775140 156565968925 200404440224 250505550280 313131937850 400808880448 501011100560 626263875700 1002022201120 1252527751400 2004044402240 2505055502800 5010111005600 10020222011200