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20301224112 = 24321382313177
BaseRepresentation
bin10010111010000011…
…000001100010110000
31221101211100001001100
4102322003001202300
5313034103132422
613154245404400
71316040362211
oct227203014260
957354301040
1020301224112
11867856a174
123b26a09700
131bb6c13960
14da82d7408
157dc41c7ac
hex4ba0c18b0

20301224112 has 120 divisors (see below), whose sum is σ = 61264627424. Its totient is φ = 6238467072.

The previous prime is 20301224071. The next prime is 20301224131. The reversal of 20301224112 is 21142210302.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1534068 + ... + 1547244.

Almost surely, 220301224112 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 20301224112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30632313712).

20301224112 is an abundant number, since it is smaller than the sum of its proper divisors (40963403312).

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

20301224112 is a wasteful number, since it uses less digits than its factorization.

20301224112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14027 (or 14018 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20301224112 its reverse (21142210302), we get a palindrome (41443434414).

The spelling of 20301224112 in words is "twenty billion, three hundred one million, two hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 823 936 1646 1872 2469 3292 4938 6584 7407 9876 10699 13168 13177 14814 19752 21398 26354 29628 32097 39504 39531 42796 52708 59256 64194 79062 85592 96291 105416 118512 118593 128388 158124 171184 171301 192582 210832 237186 256776 316248 342602 385164 474372 513552 513903 632496 685204 770328 948744 1027806 1370408 1540656 1541709 1897488 2055612 2740816 3083418 4111224 6166836 8222448 10844671 12333672 21689342 24667344 32534013 43378684 65068026 86757368 97602039 130136052 140980723 173514736 195204078 260272104 281961446 390408156 422942169 520544208 563922892 780816312 845884338 1127845784 1268826507 1561632624 1691768676 2255691568 2537653014 3383537352 5075306028 6767074704 10150612056 20301224112