Search a number
-
+
12010020201100 = 22527110116748041
BaseRepresentation
bin1010111011000100110011…
…1111001110001010001100
31120112010221221212001121201
42232301030333032022030
53033233010132413400
641313154353435244
72346460332221545
oct256611477161214
946463857761551
1012010020201100
11391046a337239
12141b75756bb24
13691703630b6c
142d74066bd4cc
1515c61c96e06a
hexaec4cfce28c

12010020201100 has 72 divisors (see below), whose sum is σ = 26690483637216. Its totient is φ = 4689451200000.

The previous prime is 12010020201089. The next prime is 12010020201121. The reversal of 12010020201100 is 110202001021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7656921 + ... + 9091120.

It is an arithmetic number, because the mean of its divisors is an integer number (370701161628).

Almost surely, 212010020201100 is an apocalyptic number.

12010020201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010020201100 is an abundant number, since it is smaller than the sum of its proper divisors (14680463436116).

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

12010020201100 is a wasteful number, since it uses less digits than its factorization.

12010020201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16748227 (or 16748220 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12010020201100 its reverse (110202001021), we get a palindrome (12120222202121).

The spelling of 12010020201100 in words is "twelve trillion, ten billion, twenty million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 101 142 202 284 355 404 505 710 1010 1420 1775 2020 2525 3550 5050 7100 7171 10100 14342 28684 35855 71710 143420 179275 358550 717100 16748041 33496082 66992164 83740205 167480410 334960820 418701025 837402050 1189110911 1674804100 1691552141 2378221822 3383104282 4756443644 5945554555 6766208564 8457760705 11891109110 16915521410 23782218220 29727772775 33831042820 42288803525 59455545550 84577607050 118911091100 120100202011 169155214100 240200404022 480400808044 600501010055 1201002020110 2402004040220 3002505050275 6005010100550 12010020201100