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10122343224 = 2337531136831
BaseRepresentation
bin10010110110101011…
…01011001100111000
3222010102222022110220
421123111223030320
5131212304440344
64352232540040
7505561332510
oct113325531470
928112868426
1010122343224
114324887314
121b65b51620
13c54154b06
146c04cc840
153e39c7c19
hex25b56b338

10122343224 has 64 divisors (see below), whose sum is σ = 29466685440. Its totient is φ = 2837527680.

The previous prime is 10122343223. The next prime is 10122343237. The reversal of 10122343224 is 42234322101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10122343194 and 10122343203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122343223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559512 + ... + 577319.

It is an arithmetic number, because the mean of its divisors is an integer number (460416960).

Almost surely, 210122343224 is an apocalyptic number.

10122343224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10122343224 is an abundant number, since it is smaller than the sum of its proper divisors (19344342216).

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

10122343224 is a wasteful number, since it uses less digits than its factorization.

10122343224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136900 (or 1136896 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10122343224 its reverse (42234322101), we get a palindrome (52356665325).

The spelling of 10122343224 in words is "ten billion, one hundred twenty-two million, three hundred forty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 424 636 742 1113 1272 1484 2226 2968 4452 8904 1136831 2273662 3410493 4547324 6820986 7957817 9094648 13641972 15915634 23873451 27283944 31831268 47746902 60252043 63662536 95493804 120504086 180756129 190987608 241008172 361512258 421764301 482016344 723024516 843528602 1265292903 1446049032 1687057204 2530585806 3374114408 5061171612 10122343224