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110131332120121 = 13192374726935011
BaseRepresentation
bin11001000010100111110010…
…111011011111111000111001
3112102221110012220002202000011
4121002213302323133320321
5103413342432010320441
61030121345134541521
732124504035233204
oct3102476273377071
9472843186082004
10110131332120121
1132100487955944
12104282343678a1
13495b456148c40
141d2a5562cc93b
15caeb7e4ad581
hex6429f2edfe39

110131332120121 has 96 divisors (see below), whose sum is σ = 131367065614848. Its totient is φ = 91660129390080.

The previous prime is 110131332120107. The next prime is 110131332120133. The reversal of 110131332120121 is 121021233131011.

It is not a de Polignac number, because 110131332120121 - 231 = 110129184636473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110131332120092 and 110131332120101.

It is not an unprimeable number, because it can be changed into a prime (110131332123121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21977912506 + ... + 21977917516.

It is an arithmetic number, because the mean of its divisors is an integer number (1368406933488).

Almost surely, 2110131332120121 is an apocalyptic number.

It is an amenable number.

110131332120121 is a deficient number, since it is larger than the sum of its proper divisors (21235733494727).

110131332120121 is a wasteful number, since it uses less digits than its factorization.

110131332120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7839 (or 7820 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 110131332120121 its reverse (121021233131011), we get a palindrome (231152565251132).

The spelling of 110131332120121 in words is "one hundred ten trillion, one hundred thirty-one billion, three hundred thirty-two million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 13 19 37 47 247 361 481 611 703 893 1739 2693 4693 5011 9139 11609 13357 16967 22607 33041 35009 51167 65143 95209 99641 126571 173641 185407 220571 235517 429533 627779 665171 972173 1237717 1295333 1645423 1808971 1893179 2404849 2410291 3061721 3522733 4474823 4683127 8161127 8714129 12638249 13494623 23516623 24611327 31263037 35970401 45692131 45795529 58172699 60880651 66931927 85021637 88979413 113283677 165568451 175430099 256397837 467615213 499301051 593997703 634247281 870115051 1105281281 1156732369 1690608847 2152389863 3145800569 3333171881 4871558903 6490913663 8245214653 9486719969 12050698339 21977915011 23467149397 40895407397 63330265739 123327359597 156659078407 180247679411 228963268441 305072942161 445875838543 2343219832343 2976522489733 5796385901059 8471640932317 110131332120121