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20201100012 = 223237109113901
BaseRepresentation
bin10010110100000101…
…000101001011101100
31221010211221012121100
4102310011011023230
5312332440200022
613140311403100
71313413342212
oct226405051354
957124835540
1020201100012
118626aa3485
123ab9383490
131b9c258822
14d98cb2cb2
157d37411ac
hex4b41452ec

20201100012 has 72 divisors (see below), whose sum is σ = 52495842672. Its totient is φ = 6545232000.

The previous prime is 20201099987. The next prime is 20201100071. The reversal of 20201100012 is 21000110202.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20201099967 and 20201100003.

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, 1446262 + ... + 1460162.

It is an arithmetic number, because the mean of its divisors is an integer number (729108926).

Almost surely, 220201100012 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 20201100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26247921336).

20201100012 is an abundant number, since it is smaller than the sum of its proper divisors (32294742660).

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

20201100012 is a wasteful number, since it uses less digits than its factorization.

20201100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15039 (or 15034 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20201100012 its reverse (21000110202), we get a palindrome (41201210214).

The spelling of 20201100012 in words is "twenty billion, two hundred one million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1091 1332 2182 3273 4364 6546 9819 13092 13901 19638 27802 39276 40367 41703 55604 80734 83406 121101 125109 161468 166812 242202 250218 363303 484404 500436 514337 726606 1028674 1453212 1543011 2057348 3086022 4629033 6172044 9258066 15165991 18516132 30331982 45497973 60663964 90995946 136493919 181991892 272987838 545975676 561141667 1122283334 1683425001 2244566668 3366850002 5050275003 6733700004 10100550006 20201100012