Search a number
-
+
101331123222 = 23737128950587
BaseRepresentation
bin101111001011111001…
…1100011110000010110
3100200112221101102000210
41132113303203300112
53130011231420342
6114314553350250
710215036223140
oct1362763436026
9320487342023
10101331123222
1139a7986073a
121777b708386
13972b523a14
144c93b63c90
15298102679c
hex1797ce3c16

101331123222 has 64 divisors (see below), whose sum is σ = 238063080960. Its totient is φ = 28146859776.

The previous prime is 101331123221. The next prime is 101331123277. The reversal of 101331123222 is 222321133101.

It is a super-2 number, since 2×1013311232222 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331123221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1977813 + ... + 2028399.

It is an arithmetic number, because the mean of its divisors is an integer number (3719735640).

Almost surely, 2101331123222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101331123222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119031540480).

101331123222 is an abundant number, since it is smaller than the sum of its proper divisors (136731957738).

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

101331123222 is a wasteful number, since it uses less digits than its factorization.

101331123222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51925.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 101331123222 its reverse (222321133101), we get a palindrome (323652256323).

The spelling of 101331123222 in words is "one hundred one billion, three hundred thirty-one million, one hundred twenty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 518 777 1289 1554 2578 3867 7734 9023 18046 27069 47693 50587 54138 95386 101174 143079 151761 286158 303522 333851 354109 667702 708218 1001553 1062327 1871719 2003106 2124654 3743438 5615157 11230314 13102033 26204066 39306099 65206643 78612198 130413286 195619929 391239858 456446501 912893002 1369339503 2412645791 2738679006 4825291582 7237937373 14475874746 16888520537 33777041074 50665561611 101331123222