Search a number
-
+
1201222320100 = 22521131216116301
BaseRepresentation
bin10001011110101110011…
…011011111111111100100
311020211120020201101221021
4101132232123133333210
5124140100403220400
62315500043100524
7152533260152335
oct21365633377744
94224506641837
101201222320100
114234877582a0
1217497ab11744
13893758c563a
14421d49c828c
15213a718471a
hex117ae6dffe4

1201222320100 has 144 divisors (see below), whose sum is σ = 2936889027072. Its totient is φ = 422496000000.

The previous prime is 1201222320097. The next prime is 1201222320127. The reversal of 1201222320100 is 10232221021.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73681950 + ... + 73698250.

It is an arithmetic number, because the mean of its divisors is an integer number (20395062688).

Almost surely, 21201222320100 is an apocalyptic number.

1201222320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201222320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468444513536).

1201222320100 is an abundant number, since it is smaller than the sum of its proper divisors (1735666706972).

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

1201222320100 is a wasteful number, since it uses less digits than its factorization.

1201222320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18518 (or 18511 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1201222320100 its reverse (10232221021), we get a palindrome (1211454541121).

The spelling of 1201222320100 in words is "one trillion, two hundred one billion, two hundred twenty-two million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 550 620 682 775 1100 1364 1550 1705 2161 3100 3410 4322 6820 8525 8644 10805 16301 17050 21610 23771 32602 34100 43220 47542 54025 65204 66991 81505 95084 108050 118855 133982 163010 179311 216100 237710 267964 326020 334955 358622 407525 475420 505331 594275 669910 717244 736901 815050 896555 1010662 1188550 1339820 1473802 1630100 1674775 1793110 2021324 2377100 2526655 2947604 3349550 3586220 3684505 4482775 5053310 5558641 6699100 7369010 8965550 10106620 11117282 12633275 14738020 17931100 18422525 22234564 25266550 27793205 35226461 36845050 50533100 55586410 70452922 73690100 111172820 138966025 140905844 176132305 277932050 352264610 387491071 555864100 704529220 774982142 880661525 1092020291 1549964284 1761323050 1937455355 2184040582 3522646100 3874910710 4368081164 5460101455 7749821420 9687276775 10920202910 12012223201 19374553550 21840405820 24024446402 27300507275 38749107100 48048892804 54601014550 60061116005 109202029100 120122232010 240244464020 300305580025 600611160050 1201222320100