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20222100112 = 2423894791289
BaseRepresentation
bin10010110101010101…
…001100001010010000
31221012022110010022211
4102311111030022100
5312403324200422
613142341441504
71314060005044
oct226525141220
957168403284
1020222100112
118637937135
123b04410294
131ba36cc216
14d9b9bc024
157d54dd577
hex4b554c290

20222100112 has 80 divisors (see below), whose sum is σ = 41461632000. Its totient is φ = 9535404032.

The previous prime is 20222100109. The next prime is 20222100137. The reversal of 20222100112 is 21100122202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20222100092 and 20222100101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15687564 + ... + 15688852.

It is an arithmetic number, because the mean of its divisors is an integer number (518270400).

Almost surely, 220222100112 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 20222100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20730816000).

20222100112 is an abundant number, since it is smaller than the sum of its proper divisors (21239531888).

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

20222100112 is a wasteful number, since it uses less digits than its factorization.

20222100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20222100112 its reverse (21100122202), we get a palindrome (41322222314).

The spelling of 20222100112 in words is "twenty billion, two hundred twenty-two million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 46 89 92 178 184 356 368 479 712 958 1289 1424 1916 2047 2578 3832 4094 5156 7664 8188 10312 11017 16376 20624 22034 29647 32752 42631 44068 59294 85262 88136 114721 118588 170524 176272 229442 237176 341048 458884 474352 617431 682096 917768 980513 1234862 1835536 1961026 2469724 2638583 3922052 4939448 5277166 7844104 9878896 10554332 14200913 15688208 21108664 28401826 42217328 54951359 56803652 109902718 113607304 219805436 227214608 439610872 879221744 1263881257 2527762514 5055525028 10111050056 20222100112