Search a number
-
+
21033310122 = 2331170150513
BaseRepresentation
bin10011100101101011…
…101101011110101010
32000021211212212021000
4103211223231132222
5321034011410442
613355040455430
71343140120566
oct234553553652
960254785230
1021033310122
118a13834230
1240b001a576
131ca27a8646
1410376246a6
1583182bd4c
hex4e5aed7aa

21033310122 has 64 divisors (see below), whose sum is σ = 51063592320. Its totient is φ = 6364512000.

The previous prime is 21033310091. The next prime is 21033310127. The reversal of 21033310122 is 22101333012.

21033310122 is a `hidden beast` number, since 210 + 3 + 331 + 0 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21033310095 and 21033310104.

It is not an unprimeable number, because it can be changed into a prime (21033310127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391138 + ... + 441650.

It is an arithmetic number, because the mean of its divisors is an integer number (797868630).

Almost surely, 221033310122 is an apocalyptic number.

21033310122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21033310122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25531796160).

21033310122 is an abundant number, since it is smaller than the sum of its proper divisors (30030282198).

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

21033310122 is a wasteful number, since it uses less digits than its factorization.

21033310122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51236 (or 51230 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21033310122 its reverse (22101333012), we get a palindrome (43134643134).

The spelling of 21033310122 in words is "twenty-one billion, thirty-three million, three hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 701 1402 2103 4206 6309 7711 12618 15422 18927 23133 37854 46266 50513 69399 101026 138798 151539 208197 303078 416394 454617 555643 909234 1111286 1363851 1666929 2727702 3333858 5000787 10001574 15002361 30004722 35409613 70819226 106228839 212457678 318686517 389505743 637373034 779011486 956059551 1168517229 1912119102 2337034458 3505551687 7011103374 10516655061 21033310122