Search a number
-
+
20122010102000 = 245373137821987
BaseRepresentation
bin1001001001101000001010…
…10000111010100011110000
32122020122102110222212201102
410210310011100322203300
510114134334041231000
6110443531314023532
74144524111541652
oct444640520724360
978218373885642
1020122010102000
116458773139584
12230b944577ba8
13b2c660a71571
144d7ca652c6d2
1524d6465473d5
hex124d0543a8f0

20122010102000 has 80 divisors (see below), whose sum is σ = 49321527913632. Its totient is φ = 7938546393600.

The previous prime is 20122010101979. The next prime is 20122010102027. The reversal of 20122010102000 is 20101022102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68764994 + ... + 69056993.

Almost surely, 220122010102000 is an apocalyptic number.

20122010102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122010102000 is an abundant number, since it is smaller than the sum of its proper divisors (29199517811632).

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

20122010102000 is a wasteful number, since it uses less digits than its factorization.

20122010102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137822083 (or 137822067 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20122010102000 its reverse (20101022102), we get a palindrome (20142111124102).

The spelling of 20122010102000 in words is "twenty trillion, one hundred twenty-two billion, ten million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 200 250 292 365 400 500 584 730 1000 1168 1460 1825 2000 2920 3650 5840 7300 9125 14600 18250 29200 36500 73000 146000 137821987 275643974 551287948 689109935 1102575896 1378219870 2205151792 2756439740 3445549675 5512879480 6891099350 10061005051 11025758960 13782198700 17227748375 20122010102 27564397400 34455496750 40244020204 50305025255 55128794800 68910993500 80488040408 100610050510 137821987000 160976080816 201220101020 251525126275 275643974000 402440202040 503050252550 804880404080 1006100505100 1257625631375 2012201010200 2515251262750 4024402020400 5030502525500 10061005051000 20122010102000