Search a number
-
+
121110321013020 = 223252243299971073
BaseRepresentation
bin11011100010011000110001…
…101010011010000100011100
3120212211000220111122120212200
4123202120301222122010130
5111333232414134404040
61105325151405331500
734336634441111523
oct3342306152320434
9525730814576780
10121110321013020
1135653664966029
12116bbba9566b90
135276867569731
1421c9ab117d4ba
15e00556274630
hex6e2631a9a11c

121110321013020 has 72 divisors (see below), whose sum is σ = 367531759170576. Its totient is φ = 32281686884352.

The previous prime is 121110321012991. The next prime is 121110321013021. The reversal of 121110321013020 is 20310123011121.

121110321013020 is a `hidden beast` number, since 1 + 211 + 1 + 0 + 321 + 0 + 130 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 121110321012984 and 121110321013002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121110321013021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149581797 + ... + 150389276.

It is an arithmetic number, because the mean of its divisors is an integer number (5104607766258).

Almost surely, 2121110321013020 is an apocalyptic number.

121110321013020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121110321013020 is an abundant number, since it is smaller than the sum of its proper divisors (246421438157556).

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

121110321013020 is a wasteful number, since it uses less digits than its factorization.

121110321013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299973331 (or 299973326 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121110321013020 its reverse (20310123011121), we get a palindrome (141420444024141).

The spelling of 121110321013020 in words is "one hundred twenty-one trillion, one hundred ten billion, three hundred twenty-one million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2243 4486 6729 8972 11215 13458 20187 22430 26916 33645 40374 44860 67290 80748 100935 134580 201870 403740 299971073 599942146 899913219 1199884292 1499855365 1799826438 2699739657 2999710730 3599652876 4499566095 5399479314 5999421460 8999132190 10798958628 13498698285 17998264380 26997396570 53994793140 672835116739 1345670233478 2018505350217 2691340466956 3364175583695 4037010700434 6055516050651 6728351167390 8074021400868 10092526751085 12111032101302 13456702334780 20185053502170 24222064202604 30277580253255 40370107004340 60555160506510 121110321013020