Search a number
-
+
2231120300101 = 731143471012897
BaseRepresentation
bin100000011101111001001…
…000100000100001000101
321220021220121110120122221
4200131321020200201011
5243023313244100401
64424543523052341
7320123145433000
oct40357110404105
97807817416587
102231120300101
11790238276070
123004a58110b1
131325170861b4
1479db5ac0537
153d0835c17a1
hex20779220845

2231120300101 has 128 divisors (see below), whose sum is σ = 2996634009600. Its totient is φ = 1644951168000.

The previous prime is 2231120300053. The next prime is 2231120300119. The reversal of 2231120300101 is 1010030211322.

It is not a de Polignac number, because 2231120300101 - 29 = 2231120299589 is a prime.

It is a super-3 number, since 3×22311203001013 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231120300131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 770147085 + ... + 770149981.

It is an arithmetic number, because the mean of its divisors is an integer number (23411203200).

Almost surely, 22231120300101 is an apocalyptic number.

It is an amenable number.

2231120300101 is a deficient number, since it is larger than the sum of its proper divisors (765513709499).

2231120300101 is a wasteful number, since it uses less digits than its factorization.

2231120300101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2231120300101 its reverse (1010030211322), we get a palindrome (3241150511423).

The spelling of 2231120300101 in words is "two trillion, two hundred thirty-one billion, one hundred twenty million, three hundred thousand, one hundred one".

Divisors: 1 7 11 43 47 49 77 101 301 329 343 473 517 539 707 1111 2021 2107 2303 2897 3311 3619 3773 4343 4747 4949 7777 14147 14749 16121 20279 22231 23177 25333 30401 31867 33229 34643 47773 52217 54439 99029 124571 136159 141953 155617 162239 177331 204121 212807 223069 232603 292597 334411 365519 381073 693203 871997 953113 993671 1089319 1370281 1428847 1489649 1497749 1561483 1628221 2048179 2245331 2340877 2558633 3218567 5854837 6103979 6671791 7625233 9591967 10001929 10484243 10930381 12581671 13752059 14337253 15717317 16386139 17910431 22529969 40983859 42727853 46702537 64403207 67143769 70013503 73389701 88071697 96264413 100360771 110021219 138398381 151272649 157709783 286887013 450822449 470006383 513727907 591338537 616501879 673850891 770148533 968788667 1058908543 1103968481 2008209091 3155757143 4139369759 4315513153 4716956237 6504723907 6781520669 7412359801 22090300001 28975588313 45533067349 47470644683 51886518607 202829118191 318731471443 2231120300101