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21122434212 = 223112101144031
BaseRepresentation
bin10011101010111111…
…101100010010100100
32000112001120211112020
4103222333230102210
5321224320343322
613411543023140
71345301504565
oct235277542244
960461524466
1021122434212
118a5a077500
124115a3aab0
131cb80b19a9
1410453c416c
1583958405c
hex4eafec4a4

21122434212 has 72 divisors (see below), whose sum is σ = 54710267136. Its totient is φ = 6337320000.

The previous prime is 21122434117. The next prime is 21122434241. The reversal of 21122434212 is 21243422112.

It is a super-3 number, since 3×211224342123 (a number of 32 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74637 + ... + 218667.

Almost surely, 221122434212 is an apocalyptic number.

21122434212 is a gapful number since it is divisible by the number (22) 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 21122434212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27355133568).

21122434212 is an abundant number, since it is smaller than the sum of its proper divisors (33587832924).

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

21122434212 is a wasteful number, since it uses less digits than its factorization.

21122434212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144161 (or 144148 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

Adding to 21122434212 its reverse (21243422112), we get a palindrome (42365856324).

The spelling of 21122434212 in words is "twenty-one billion, one hundred twenty-two million, four hundred thirty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 121 132 202 242 303 363 404 484 606 726 1111 1212 1452 2222 3333 4444 6666 12221 13332 24442 36663 48884 73326 144031 146652 288062 432093 576124 864186 1584341 1728372 3168682 4753023 6337364 9506046 14547131 17427751 19012092 29094262 34855502 43641393 52283253 58188524 69711004 87282786 104566506 160018441 174565572 209133012 320036882 480055323 640073764 960110646 1760202851 1920221292 3520405702 5280608553 7040811404 10561217106 21122434212