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121331110110030 = 2345241761974139
BaseRepresentation
bin11011100101100110011001…
…101101111110001101001110
3120220121010210200021211020000
4123211212121231332031032
5111400342103142010110
61110014424214105130
734361612005346022
oct3345463155761516
9526533720254200
10121331110110030
113572926461a537
121173694734b1a6
135291622899832
1421d6658274382
15e061798861c0
hex6e5999b7e34e

121331110110030 has 80 divisors (see below), whose sum is σ = 326380858792560. Its totient is φ = 32341575760128.

The previous prime is 121331110109983. The next prime is 121331110110043. The reversal of 121331110110030 is 30011011133121.

121331110110030 is a `hidden beast` number, since 1 + 213 + 311 + 1 + 0 + 110 + 0 + 30 = 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 = 121331110109985 and 121331110110012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29029300 + ... + 32944839.

It is an arithmetic number, because the mean of its divisors is an integer number (4079760734907).

Almost surely, 2121331110110030 is an apocalyptic number.

121331110110030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121331110110030 is an abundant number, since it is smaller than the sum of its proper divisors (205049748682530).

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

121331110110030 is a wasteful number, since it uses less digits than its factorization.

121331110110030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61976575 (or 61976566 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 121331110110030 its reverse (30011011133121), we get a palindrome (151342121243151).

The spelling of 121331110110030 in words is "one hundred twenty-one trillion, three hundred thirty-one billion, one hundred ten million, one hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 2417 4834 7251 12085 14502 21753 24170 36255 43506 65259 72510 108765 130518 195777 217530 326295 391554 652590 978885 1957770 61974139 123948278 185922417 309870695 371844834 557767251 619741390 929612085 1115534502 1673301753 1859224170 2788836255 3346603506 5019905259 5577672510 8366508765 10039810518 16733017530 25099526295 50199052590 149791493963 299582987926 449374481889 748957469815 898748963778 1348123445667 1497914939630 2246872409445 2696246891334 4044370337001 4493744818890 6740617228335 8088740674002 12133111011003 13481234456670 20221851685005 24266222022006 40443703370010 60665555055015 121331110110030