Search a number
-
+
10022121032 = 2371137676563
BaseRepresentation
bin10010101010101110…
…10110111001001000
3221212110101111110212
421111113112321020
5131011130333112
64334252500252
7503233423520
oct112527267110
927773344425
1010022121032
114283253960
121b3847a688
13c39464141
146b1080680
153d9ccc522
hex2555d6e48

10022121032 has 128 divisors (see below), whose sum is σ = 24424381440. Its totient is φ = 3741914880.

The previous prime is 10022121029. The next prime is 10022121047. The reversal of 10022121032 is 23012122001.

It is a happy number.

10022121032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10022120998 and 10022121016.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1523783 + ... + 1530345.

It is an arithmetic number, because the mean of its divisors is an integer number (190815480).

Almost surely, 210022121032 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 10022121032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12212190720).

10022121032 is an abundant number, since it is smaller than the sum of its proper divisors (14402260408).

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

10022121032 is a wasteful number, since it uses less digits than its factorization.

10022121032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6691 (or 6687 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10022121032 its reverse (23012122001), we get a palindrome (33034243033).

The spelling of 10022121032 in words is "ten billion, twenty-two million, one hundred twenty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 56 67 74 77 88 134 148 154 259 268 296 308 407 469 518 536 616 737 814 938 1036 1474 1628 1876 2072 2479 2849 2948 3256 3752 4958 5159 5698 5896 6563 9916 10318 11396 13126 17353 19832 20636 22792 26252 27269 34706 41272 45941 52504 54538 69412 72193 91882 109076 138824 144386 183764 190883 218152 242831 288772 367528 381766 439721 485662 505351 577544 763532 879442 971324 1010702 1527064 1699817 1758884 1942648 2021404 2671141 3078047 3399634 3517768 4042808 4836931 5342282 6156094 6799268 9673862 10684564 12312188 13598536 16269677 18697987 19347724 21369128 24624376 32539354 33858517 37395974 38695448 65078708 67717034 74791948 113887739 130157416 135434068 149583896 178966447 227775478 270868136 357932894 455550956 715865788 911101912 1252765129 1431731576 2505530258 5011060516 10022121032