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20331122200032 = 2537231315419397
BaseRepresentation
bin1001001111101101101010…
…10100010000110111100000
32122222122011212022002211010
410213312311110100313200
510131101114240400112
6111123553312020520
74165606106210310
oct447666524206740
978878155262733
1020331122200032
1165294204a5906
122344383831740
13b462a7b2c007
14504062885440
15253cd493c63c
hex127db5510de0

20331122200032 has 96 divisors (see below), whose sum is σ = 63645252152832. Its totient is φ = 5556331528704.

The previous prime is 20331122200031. The next prime is 20331122200033. The reversal of 20331122200032 is 23000222113302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20331122200031) and next prime (20331122200033).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20331122199981 and 20331122200008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20331122200031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657694243 + ... + 657725154.

It is an arithmetic number, because the mean of its divisors is an integer number (662971376592).

Almost surely, 220331122200032 is an apocalyptic number.

It is an amenable number.

20331122200032 is an abundant number, since it is smaller than the sum of its proper divisors (43314129952800).

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

20331122200032 is a wasteful number, since it uses less digits than its factorization.

20331122200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315419440 (or 1315419432 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20331122200032 its reverse (23000222113302), we get a palindrome (43331344313334).

The spelling of 20331122200032 in words is "twenty trillion, three hundred thirty-one billion, one hundred twenty-two million, two hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 483 552 644 672 736 966 1104 1288 1932 2208 2576 3864 5152 7728 15456 1315419397 2630838794 3946258191 5261677588 7892516382 9207935779 10523355176 15785032764 18415871558 21046710352 27623807337 30254646131 31570065528 36831743116 42093420704 55247614674 60509292262 63140131056 73663486232 90763938393 110495229348 121018584524 126280262112 147326972464 181527876786 211782522917 220990458696 242037169048 294653944928 363055753572 423565045834 441980917392 484074338096 635347568751 726111507144 847130091668 883961834784 968148676192 1270695137502 1452223014288 1694260183336 2541390275004 2904446028576 3388520366672 5082780550008 6777040733344 10165561100016 20331122200032