Search a number
-
+
10122422004 = 2232711372211
BaseRepresentation
bin10010110110101011…
…11110011011110100
3222010110010022112200
421123111332123310
5131212320001004
64352234344500
7505562111262
oct113325763364
928113108480
1010122422004
114324930522
121b65b8b130
13c54181926
146c050d432
153e39e1239
hex25b57e6f4

10122422004 has 108 divisors (see below), whose sum is σ = 26262276768. Its totient is φ = 3286684800.

The previous prime is 10122421997. The next prime is 10122422029. The reversal of 10122422004 is 40022422101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47973459 + ... + 47973669.

Almost surely, 210122422004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122422004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13131138384).

10122422004 is an abundant number, since it is smaller than the sum of its proper divisors (16139854764).

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

10122422004 is a wasteful number, since it uses less digits than its factorization.

10122422004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10122422004 its reverse (40022422101), we get a palindrome (50144844105).

The spelling of 10122422004 in words is "ten billion, one hundred twenty-two million, four hundred twenty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 71 137 142 211 213 274 284 411 422 426 548 633 639 822 844 852 1233 1266 1278 1644 1899 2466 2532 2556 3798 4932 7596 9727 14981 18769 19454 28907 29181 29962 37538 38908 44943 56307 57814 58362 59924 75076 86721 87543 89886 112614 115628 116724 134829 168921 173442 175086 179772 225228 260163 269658 337842 346884 350172 520326 539316 675684 1040652 1332599 2052397 2665198 3960259 3997797 4104794 5330396 6157191 7920518 7995594 8209588 11880777 11993391 12314382 15841036 15991188 18471573 23761554 23986782 24628764 35642331 36943146 47523108 47973564 71284662 73886292 142569324 281178389 562356778 843535167 1124713556 1687070334 2530605501 3374140668 5061211002 10122422004