Search a number
-
+
10122368328 = 23327121672
BaseRepresentation
bin10010110110101011…
…10001010101001000
3222010110000120220200
421123111301111020
5131212311241303
64352233252200
7505561465632
oct113325612510
928113016820
1010122368328
1143248a4166
121b65b64060
13c54163377
146c04d7a52
153e39d03a3
hex25b571548

10122368328 has 108 divisors (see below), whose sum is σ = 27973810995. Its totient is φ = 3306680160.

The previous prime is 10122368323. The next prime is 10122368329. The reversal of 10122368328 is 82386322101.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10122368328 is a `hidden beast` number, since 101 + 223 + 6 + 8 + 328 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5061184164 + 5061184164 = 71142^2 + 71142^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=71142.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10122368292 and 10122368301.

It is not an unprimeable number, because it can be changed into a prime (10122368323) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 60612901 + ... + 60613067.

Almost surely, 210122368328 is an apocalyptic number.

10122368328 is a gapful number since it is divisible by the number (18) 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 10122368328

10122368328 is an abundant number, since it is smaller than the sum of its proper divisors (17851442667).

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

10122368328 is an equidigital number, since it uses as much as digits as its factorization.

10122368328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10122368328 in words is "ten billion, one hundred twenty-two million, three hundred sixty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 167 213 284 334 426 501 568 639 668 852 1002 1278 1336 1503 1704 2004 2556 3006 4008 5041 5112 6012 10082 11857 12024 15123 20164 23714 27889 30246 35571 40328 45369 47428 55778 60492 71142 83667 90738 94856 106713 111556 120984 142284 167334 181476 213426 223112 251001 284568 334668 362952 426852 502002 669336 841847 853704 1004004 1683694 1980119 2008008 2525541 3367388 3960238 5051082 5940357 6734776 7576623 7920476 10102164 11880714 15153246 15840952 17821071 20204328 23761428 30306492 35642142 47522856 60612984 71284284 140588449 142568568 281176898 421765347 562353796 843530694 1124707592 1265296041 1687061388 2530592082 3374122776 5061184164 10122368328