Search a number
-
+
22310301100120 = 23511210134550411
BaseRepresentation
bin1010001001010100001011…
…00100100110100001011000
32220222211210020120111012121
411010222011210212201120
510411012444040200440
6115241113312351024
74461603026245225
oct504520544464130
986884706514177
1022310301100120
117121822385100
122603a76845474
13c5ab10858907
14571b77d9094c
1528a51ea5a34a
hex144a85926858

22310301100120 has 96 divisors (see below), whose sum is σ = 55230989682960. Its totient is φ = 8104826259200.

The previous prime is 22310301100039. The next prime is 22310301100123. The reversal of 22310301100120 is 2100110301322.

It is a super-3 number, since 3×223103011001203 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22310301100094 and 22310301100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22310301100123) 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 23 ways as a sum of consecutive naturals, for example, 2627715 + ... + 7178125.

Almost surely, 222310301100120 is an apocalyptic number.

22310301100120 is a gapful number since it is divisible by the number (20) 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 22310301100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27615494841480).

22310301100120 is an abundant number, since it is smaller than the sum of its proper divisors (32920688582840).

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

22310301100120 is a wasteful number, since it uses less digits than its factorization.

22310301100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4551457 (or 4551442 counting only the distinct ones).

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

Adding to 22310301100120 its reverse (2100110301322), we get a palindrome (24410411401442).

The spelling of 22310301100120 in words is "twenty-two trillion, three hundred ten billion, three hundred one million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1013 1210 2026 2420 4052 4840 5065 8104 10130 11143 20260 22286 40520 44572 55715 89144 111430 122573 222860 245146 445720 490292 612865 980584 1225730 2451460 4550411 4902920 9100822 18201644 22752055 36403288 45504110 50054521 91008220 100109042 182016440 200218084 250272605 400436168 500545210 550599731 1001090420 1101199462 2002180840 2202398924 2752998655 4404797848 4609566343 5505997310 9219132686 11011994620 18438265372 22023989240 23047831715 36876530744 46095663430 50705229773 92191326860 101410459546 184382653720 202820919092 253526148865 405641838184 507052297730 557757527503 1014104595460 1115515055006 2028209190920 2231030110012 2788787637515 4462060220024 5577575275030 11155150550060 22310301100120