Search a number
-
+
122301321093 = 347619734807
BaseRepresentation
bin111000111100110111…
…0100000111110000101
3102200200101111211120000
41301321232200332011
54000433114233333
6132103501431513
711556512035230
oct1617156407605
9380611454500
10122301321093
114795a9a8786
121b85256b599
13b6c0c02923
145cc2c3a417
1532ac038713
hex1c79ba0f85

122301321093 has 40 divisors (see below), whose sum is σ = 208836304512. Its totient is φ = 69873184224.

The previous prime is 122301321061. The next prime is 122301321113. The reversal of 122301321093 is 390123103221.

It is not a de Polignac number, because 122301321093 - 25 = 122301321061 is a prime.

It is a super-2 number, since 2×1223013210932 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122301321193) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3496296 + ... + 3531102.

Almost surely, 2122301321093 is an apocalyptic number.

It is an amenable number.

122301321093 is a deficient number, since it is larger than the sum of its proper divisors (86534983419).

122301321093 is an equidigital number, since it uses as much as digits as its factorization.

122301321093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41023 (or 41014 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 122301321093 in words is "one hundred twenty-two billion, three hundred one million, three hundred twenty-one thousand, ninety-three".

Divisors: 1 3 7 9 21 27 63 81 189 567 6197 18591 34807 43379 55773 104421 130137 167319 243649 313263 390411 501957 730947 939789 1171233 2192841 2819367 3513699 6578523 19735569 215698979 647096937 1509892853 1941290811 4529678559 5823872433 13589035677 17471617299 40767107031 122301321093