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122101011121110 = 2357581433386291
BaseRepresentation
bin11011110000110011011011…
…011001010000001111010110
3121000022202001101212111120020
4123300303123121100033112
5112001000332321333420
61111404232524450010
734501335611100540
oct3360633331201726
9530282041774506
10122101011121110
11359a582567a37a
121183bbb16a9906
1353190cab02898
142221a12d84690
15e1b1da4e9340
hex6f0cdb6503d6

122101011121110 has 32 divisors (see below), whose sum is σ = 334905630504192. Its totient is φ = 27908802541920.

The previous prime is 122101011121109. The next prime is 122101011121129. The reversal of 122101011121110 is 11121110101221.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 122101011121110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290716692936 + ... + 290716693355.

It is an arithmetic number, because the mean of its divisors is an integer number (10465800953256).

Almost surely, 2122101011121110 is an apocalyptic number.

122101011121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122101011121110 is an abundant number, since it is smaller than the sum of its proper divisors (212804619383082).

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

122101011121110 is a wasteful number, since it uses less digits than its factorization.

122101011121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581433386308.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 122101011121110 its reverse (11121110101221), we get a palindrome (133222121222331).

The spelling of 122101011121110 in words is "one hundred twenty-two trillion, one hundred one billion, eleven million, one hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 581433386291 1162866772582 1744300158873 2907166931455 3488600317746 4070033704037 5814333862910 8140067408074 8721500794365 12210101112111 17443001588730 20350168520185 24420202224222 40700337040370 61050505560555 122101011121110