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20002232121000 = 2335319350916353
BaseRepresentation
bin1001000110001001000011…
…11100001011011010101000
32121211012020221121000000220
410203010201330023122220
510110204032410333000
6110312522032130040
74133053646522163
oct443044174133250
977735227530026
1020002232121000
116411998636638
1222b0697096920
13b212828808ac
144d218289aada
1524a485cea1a0
hex123121f0b6a8

20002232121000 has 128 divisors (see below), whose sum is σ = 65691541468800. Its totient is φ = 5053195468800.

The previous prime is 20002232120909. The next prime is 20002232121031. The reversal of 20002232121000 is 12123220002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175401177 + ... + 175515176.

It is an arithmetic number, because the mean of its divisors is an integer number (513215167725).

Almost surely, 220002232121000 is an apocalyptic number.

20002232121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20002232121000 is an abundant number, since it is smaller than the sum of its proper divisors (45689309347800).

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

20002232121000 is a wasteful number, since it uses less digits than its factorization.

20002232121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350916396 (or 350916382 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20002232121000 its reverse (12123220002), we get a palindrome (20014355341002).

The spelling of 20002232121000 in words is "twenty trillion, two billion, two hundred thirty-two million, one hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 750 760 950 1000 1140 1425 1500 1900 2280 2375 2850 3000 3800 4750 5700 7125 9500 11400 14250 19000 28500 57000 350916353 701832706 1052749059 1403665412 1754581765 2105498118 2807330824 3509163530 4210996236 5263745295 6667410707 7018327060 8421992472 8772908825 10527490590 13334821414 14036654120 17545817650 20002232121 21054981180 26318726475 26669642828 33337053535 35091635300 40004464242 42109962360 43864544125 52637452950 53339285656 66674107070 70183270600 80008928484 87729088250 100011160605 105274905900 131593632375 133348214140 160017856968 166685267675 175458176500 200022321210 210549811800 263187264750 266696428280 333370535350 350916353000 400044642420 500055803025 526374529500 666741070700 800089284840 833426338375 1000111606050 1052749059000 1333482141400 1666852676750 2000223212100 2500279015125 3333705353500 4000446424200 5000558030250 6667410707000 10001116060500 20002232121000