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20021022112 = 2572134212333
BaseRepresentation
bin10010101001010110…
…001000110110100000
31220200022002022011111
4102221112020312200
5312000340201422
613110355553104
71306065610600
oct225126106640
956608068144
1020021022112
118544388273
123a68bbb794
131b70b58360
14d7cdd8c00
157c2a1ea77
hex4a9588da0

20021022112 has 144 divisors (see below), whose sum is σ = 49517275752. Its totient is φ = 7898204160.

The previous prime is 20021022079. The next prime is 20021022127. The reversal of 20021022112 is 21122012002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5369372176 + 14651649936 = 73276^2 + 121044^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 20021022092 and 20021022101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8580498 + ... + 8582830.

Almost surely, 220021022112 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 20021022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24758637876).

20021022112 is an abundant number, since it is smaller than the sum of its proper divisors (29496253640).

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

20021022112 is a wasteful number, since it uses less digits than its factorization.

20021022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2776 counting only the distinct ones).

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

Adding to 20021022112 its reverse (21122012002), we get a palindrome (41143034114).

The spelling of 20021022112 in words is "twenty billion, twenty-one million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 421 637 728 784 842 1274 1456 1568 1684 2333 2548 2912 2947 3368 4666 5096 5473 5894 6736 9332 10192 10946 11788 13472 16331 18664 20384 20629 21892 23576 30329 32662 37328 38311 41258 43784 47152 60658 65324 74656 76622 82516 87568 94304 114317 121316 130648 153244 165032 175136 212303 228634 242632 261296 268177 306488 330064 424606 457268 485264 522592 536354 612976 660128 849212 914536 970528 982193 1072708 1225952 1486121 1698424 1829072 1964386 2145416 2972242 3396848 3658144 3928772 4290832 5944484 6793696 6875351 7857544 8581664 11888968 12768509 13750702 15715088 23777936 25537018 27501404 31430176 47555872 48127457 51074036 55002808 89379563 96254914 102148072 110005616 178759126 192509828 204296144 220011232 357518252 385019656 408592288 625656941 715036504 770039312 1251313882 1430073008 1540078624 2502627764 2860146016 5005255528 10010511056 20021022112