Search a number
-
+
122310003020 = 2251719151125387
BaseRepresentation
bin111000111101000111…
…1101000100101001100
3102200200222211220220212
41301322033220211030
54000442330044040
6132104411501552
711556645605042
oct1617217504514
9380628756825
10122310003020
1147964898627
121b8554578b8
13b6c295256a
145cc405a392
1532acba0d65
hex1c7a3e894c

122310003020 has 96 divisors (see below), whose sum is σ = 288171717120. Its totient is φ = 43333401600.

The previous prime is 122310003017. The next prime is 122310003043. The reversal of 122310003020 is 20300013221.

It is a happy number.

It is a super-4 number, since 4×1223100030204 (a number of 45 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122310002986 and 122310003004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 912767 + ... + 1038153.

It is an arithmetic number, because the mean of its divisors is an integer number (3001788720).

Almost surely, 2122310003020 is an apocalyptic number.

122310003020 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 122310003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144085858560).

122310003020 is an abundant number, since it is smaller than the sum of its proper divisors (165861714100).

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

122310003020 is a wasteful number, since it uses less digits than its factorization.

122310003020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125583 (or 125581 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 122310003020 its reverse (20300013221), we get a palindrome (142610016241).

The spelling of 122310003020 in words is "one hundred twenty-two billion, three hundred ten million, three thousand, twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 151 170 190 302 323 340 380 604 646 755 1292 1510 1615 2567 2869 3020 3230 5134 5738 6460 10268 11476 12835 14345 25670 28690 48773 51340 57380 97546 125387 195092 243865 250774 487730 501548 626935 975460 1253870 2131579 2382353 2507740 4263158 4764706 8526316 9529412 10657895 11911765 18933437 21315790 23823530 37866874 40500001 42631580 47647060 75733748 81000002 94667185 162000004 189334370 202500005 321868429 359735303 378668740 405000010 643736858 719470606 810000020 1287473716 1438941212 1609342145 1798676515 3218684290 3597353030 6115500151 6437368580 7194706060 12231000302 24462000604 30577500755 61155001510 122310003020