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121020110221110 = 2358866745496111
BaseRepresentation
bin11011100001000100110000…
…101011100010111100110110
3120212111102001120010112121120
4123201010300223202330312
5111330243141204033420
61105215512055124410
734330262102042352
oct3341046053427466
9525442046115546
10121020110221110
1135619382260951
12116a6612073706
13526b1bbb82019
1421c5594290462
15ded02665ad40
hex6e1130ae2f36

121020110221110 has 32 divisors (see below), whose sum is σ = 290451546634752. Its totient is φ = 32271664714080.

The previous prime is 121020110221103. The next prime is 121020110221117. The reversal of 121020110221110 is 11122011020121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121020110221103) and next prime (121020110221117).

It is a super-3 number, since 3×1210201102211103 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121020110221110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121020110221117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20088046 + ... + 25408065.

It is an arithmetic number, because the mean of its divisors is an integer number (9076610832336).

Almost surely, 2121020110221110 is an apocalyptic number.

121020110221110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121020110221110 is an abundant number, since it is smaller than the sum of its proper divisors (169431436413642).

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

121020110221110 is a wasteful number, since it uses less digits than its factorization.

121020110221110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45584788.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121020110221110 its reverse (11122011020121), we get a palindrome (132142121241231).

The spelling of 121020110221110 in words is "one hundred twenty-one trillion, twenty billion, one hundred ten million, two hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 88667 177334 266001 443335 532002 886670 1330005 2660010 45496111 90992222 136488333 227480555 272976666 454961110 682441665 1364883330 4034003674037 8068007348074 12102011022111 20170018370185 24204022044222 40340036740370 60510055110555 121020110221110