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10122412293 = 347151191619
BaseRepresentation
bin10010110110101011…
…11100000100000101
3222010110002211020000
421123111330010011
5131212314143133
64352234231513
7505562041050
oct113325740405
928113084200
1010122412293
1143249241a4
121b65b85599
13c5417a396
146c0509a97
153e39dd413
hex25b57c105

10122412293 has 80 divisors (see below), whose sum is σ = 17515069440. Its totient is φ = 5706612000.

The previous prime is 10122412273. The next prime is 10122412303. The reversal of 10122412293 is 39221422101.

It is not a de Polignac number, because 10122412293 - 26 = 10122412229 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122412253) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16352538 + ... + 16353156.

It is an arithmetic number, because the mean of its divisors is an integer number (218938368).

Almost surely, 210122412293 is an apocalyptic number.

It is an amenable number.

10122412293 is a deficient number, since it is larger than the sum of its proper divisors (7392657147).

10122412293 is a wasteful number, since it uses less digits than its factorization.

10122412293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 10122412293 its reverse (39221422101), we get a palindrome (49343834394).

The spelling of 10122412293 in words is "ten billion, one hundred twenty-two million, four hundred twelve thousand, two hundred ninety-three".

Divisors: 1 3 7 9 21 27 63 81 151 189 191 453 567 573 619 1057 1337 1359 1719 1857 3171 4011 4077 4333 5157 5571 9513 12033 12231 12999 15471 16713 28539 28841 36099 38997 50139 85617 86523 93469 108297 116991 118229 201887 259569 280407 350973 354687 605661 654283 778707 827603 841221 1064061 1816983 1962849 2336121 2482809 2523663 3192183 5450949 5888547 7448427 7570989 9576549 16352847 17665641 17852579 22345281 52996923 53557737 67035843 124968053 160673211 374904159 482019633 1124712477 1446058899 3374137431 10122412293