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10330122420 = 22325173375857
BaseRepresentation
bin10011001111011100…
…10010100010110100
3222122220221120221200
421213232102202310
5132124002404140
64425014212500
7513663406662
oct114756224264
928586846850
1010330122420
1144210a2962
122003654130
13c88203b97
146ddd37c32
15406d6c030
hex267b928b4

10330122420 has 72 divisors (see below), whose sum is σ = 33177932424. Its totient is φ = 2592657408.

The previous prime is 10330122419. The next prime is 10330122421. The reversal of 10330122420 is 2422103301.

10330122420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10330122419) and next prime (10330122421).

It can be written as a sum of positive squares in 4 ways, for example, as 168272784 + 10161849636 = 12972^2 + 100806^2 .

It is a super-2 number, since 2×103301224202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10330122393 and 10330122402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10330122421) 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, 1684869 + ... + 1690988.

It is an arithmetic number, because the mean of its divisors is an integer number (460804617).

Almost surely, 210330122420 is an apocalyptic number.

10330122420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10330122420 is an abundant number, since it is smaller than the sum of its proper divisors (22847810004).

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

10330122420 is a wasteful number, since it uses less digits than its factorization.

10330122420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375889 (or 3375884 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10330122420 its reverse (2422103301), we get a palindrome (12752225721).

The spelling of 10330122420 in words is "ten billion, three hundred thirty million, one hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 3375857 6751714 10127571 13503428 16879285 20255142 30382713 33758570 40510284 50637855 57389569 60765426 67517140 101275710 114779138 121530852 151913565 172168707 202551420 229558276 286947845 303827130 344337414 516506121 573895690 607654260 688674828 860843535 1033012242 1147791380 1721687070 2066024484 2582530605 3443374140 5165061210 10330122420