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310001000022 = 232737244127241
BaseRepresentation
bin1001000001011010111…
…11111101111001010110
31002122011111120110122100
410200231133331321112
520034340224000042
6354225033142530
731253054010660
oct4405537757126
91078144513570
10310001000022
1110a51a53467a
12500b685aa46
1323304aa92bc
141100b485530
1580e56b824c
hex482d7fde56

310001000022 has 96 divisors (see below), whose sum is σ = 788719973184. Its totient is φ = 86139417600.

The previous prime is 310001000021. The next prime is 310001000051. The reversal of 310001000022 is 220000100013.

It is a happy number.

It is a super-2 number, since 2×3100010000222 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 310000999968 and 310001000013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310001000021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11366322 + ... + 11393562.

It is an arithmetic number, because the mean of its divisors is an integer number (8215833054).

Almost surely, 2310001000022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310001000022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394359986592).

310001000022 is an abundant number, since it is smaller than the sum of its proper divisors (478718973162).

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

310001000022 is a wasteful number, since it uses less digits than its factorization.

310001000022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29734 (or 29731 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 310001000022 its reverse (220000100013), we get a palindrome (530001100035).

Subtracting from 310001000022 its reverse (220000100013), we obtain a palindrome (90000900009).

It can be divided in two parts, 3 and 10001000022, that added together give a square (10001000025 = 1000052).

The spelling of 310001000022 in words is "three hundred ten billion, one million, twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 1554 2331 2441 4662 4882 7323 14646 17087 21969 27241 34174 43938 51261 54482 81723 90317 102522 153783 163446 180634 190687 245169 270951 307566 381374 490338 541902 572061 632219 812853 1007917 1144122 1264438 1625706 1716183 1896657 2015834 3023751 3432366 3793314 5689971 6047502 7055419 9071253 11379942 14110838 18142506 21166257 42332514 63498771 66495281 126997542 132990562 199485843 398971686 465466967 598457529 930933934 1196915058 1396400901 2460325397 2792801802 4189202703 4920650794 7380976191 8378405406 14761952382 17222277779 22142928573 34444555558 44285857146 51666833337 103333666674 155000500011 310001000022