Search a number
-
+
12101101233320 = 2351127502502803
BaseRepresentation
bin1011000000011000000111…
…0101110010010010101000
31120211212001112212220011102
42300012001311302102220
53041231023403431240
641423100312220532
72356163366221541
oct260060165622250
946755045786142
1012101101233320
113946059197890
12143533639a748
1369a18a3c2478
142db9a6dbd4c8
1515eb9db86815
hexb0181d724a8

12101101233320 has 32 divisors (see below), whose sum is σ = 29702703028320. Its totient is φ = 4400400448320.

The previous prime is 12101101233307. The next prime is 12101101233337. The reversal of 12101101233320 is 2333210110121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12101101233292 and 12101101233301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13751250962 + ... + 13751251841.

It is an arithmetic number, because the mean of its divisors is an integer number (928209469635).

Almost surely, 212101101233320 is an apocalyptic number.

12101101233320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101101233320 is an abundant number, since it is smaller than the sum of its proper divisors (17601601795000).

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

12101101233320 is a wasteful number, since it uses less digits than its factorization.

12101101233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27502502825 (or 27502502821 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12101101233320 its reverse (2333210110121), we get a palindrome (14434311343441).

The spelling of 12101101233320 in words is "twelve trillion, one hundred one billion, one hundred one million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 27502502803 55005005606 110010011212 137512514015 220020022424 275025028030 302527530833 550050056060 605055061666 1100100112120 1210110123332 1512637654165 2420220246664 3025275308330 6050550616660 12101101233320