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122022003113 = 1727972566237
BaseRepresentation
bin111000110100100010…
…1000000000110101001
3102122221220221000022122
41301221011000012221
53444400113044423
6132020043001025
711546550625133
oct1615105000651
9378856830278
10122022003113
114782726aa7a
121b794b09175
13b67809680a
145c97acc053
1532927628c8
hex1c691401a9

122022003113 has 8 divisors (see below), whose sum is σ = 129246010632. Its totient is φ = 114803133696.

The previous prime is 122022003101. The next prime is 122022003157. The reversal of 122022003113 is 311300220221.

It can be written as a sum of positive squares in 4 ways, for example, as 64331727769 + 57690275344 = 253637^2 + 240188^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122022003113 - 212 = 122021999017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122022003091 and 122022003100.

It is not an unprimeable number, because it can be changed into a prime (122022003193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1235570 + ... + 1330667.

It is an arithmetic number, because the mean of its divisors is an integer number (16155751329).

Almost surely, 2122022003113 is an apocalyptic number.

It is an amenable number.

122022003113 is a deficient number, since it is larger than the sum of its proper divisors (7224007519).

122022003113 is a wasteful number, since it uses less digits than its factorization.

122022003113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569051.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 122022003113 its reverse (311300220221), we get a palindrome (433322223334).

The spelling of 122022003113 in words is "one hundred twenty-two billion, twenty-two million, three thousand, one hundred thirteen".

Divisors: 1 17 2797 47549 2566237 43626029 7177764889 122022003113