Search a number
-
+
20101302631722 = 23133721391354289
BaseRepresentation
bin1001001001000001100110…
…00000001011110100101010
32122011122222100020101200210
410210200303000023310222
510113314431433203342
6110430224433041550
74143162006131334
oct444406300136452
978148870211623
1020101302631722
11644aa07328684
1223079256b62b6
13b2a710940280
144d6ca02c6454
1524cd3363079c
hex12483300bd2a

20101302631722 has 96 divisors (see below), whose sum is σ = 44817031425600. Its totient is φ = 5974555272192.

The previous prime is 20101302631721. The next prime is 20101302631723. The reversal of 20101302631722 is 22713620310102.

It is an interprime number because it is at equal distance from previous prime (20101302631721) and next prime (20101302631723).

It is a self number, because there is not a number n which added to its sum of digits gives 20101302631722.

It is not an unprimeable number, because it can be changed into a prime (20101302631721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14165554 + ... + 15519842.

It is an arithmetic number, because the mean of its divisors is an integer number (466844077350).

Almost surely, 220101302631722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20101302631722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22408515712800).

20101302631722 is an abundant number, since it is smaller than the sum of its proper divisors (24715728793878).

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

20101302631722 is a wasteful number, since it uses less digits than its factorization.

20101302631722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354520 (or 1354483 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

Adding to 20101302631722 its reverse (22713620310102), we get a palindrome (42814922941824).

The spelling of 20101302631722 in words is "twenty trillion, one hundred one billion, three hundred two million, six hundred thirty-one thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 13 26 37 39 74 78 111 139 222 278 417 481 834 962 1369 1443 1807 2738 2886 3614 4107 5143 5421 8214 10286 10842 15429 17797 30858 35594 53391 66859 106782 133718 190291 200577 380582 401154 570873 1141746 1354289 2473783 2708578 4062867 4947566 7421349 8125734 14842698 17605757 35211514 50108693 52817271 100217386 105634542 150326079 188246171 300652158 376492342 564738513 651413009 1129477026 1302826018 1854021641 1954239027 2447200223 3708043282 3908478054 4894400446 5562064923 6965108327 7341600669 11124129846 13930216654 14683201338 20895324981 24102281333 41790649962 48204562666 72306843999 90546408251 144613687998 181092816502 257709008099 271639224753 515418016198 543278449506 773127024297 1546254048594 3350217105287 6700434210574 10050651315861 20101302631722