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110502055120 = 2451381275689
BaseRepresentation
bin110011011101001101…
…1111000110011010000
3101120020002010000112011
41212322123320303100
53302302011230440
6122433002312304
710661225654002
oct1467233706320
9346202100464
10110502055120
11429555905a6
12194baab8694
13a560521542
1454c3b52372
152d1b2199ea
hex19ba6f8cd0

110502055120 has 20 divisors (see below), whose sum is σ = 256917278340. Its totient is φ = 44200822016.

The previous prime is 110502055031. The next prime is 110502055171. The reversal of 110502055120 is 21550205011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 37323148864 + 73178906256 = 193192^2 + 270516^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×1105020551203 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110502055091 and 110502055100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 690637765 + ... + 690637924.

It is an arithmetic number, because the mean of its divisors is an integer number (12845863917).

Almost surely, 2110502055120 is an apocalyptic number.

110502055120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110502055120 is an abundant number, since it is smaller than the sum of its proper divisors (146415223220).

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

110502055120 is a wasteful number, since it uses less digits than its factorization.

110502055120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381275702 (or 1381275696 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 22.

The spelling of 110502055120 in words is "one hundred ten billion, five hundred two million, fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1381275689 2762551378 5525102756 6906378445 11050205512 13812756890 22100411024 27625513780 55251027560 110502055120