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120232122232131 = 367131812389729
BaseRepresentation
bin11011010101100110111000…
…111011111010110101000011
3120202201002010022201012000000
4123111212320323322311003
5111224340341242412011
61103413512513531043
734216325033460540
oct3325467073726503
9522632108635000
10120232122232131
113534517a611898
121159995a573a83
135211ac06b41a0
1421993a1391bc7
15dd77a7bad356
hex6d59b8efad43

120232122232131 has 56 divisors (see below), whose sum is σ = 221865501187680. Its totient is φ = 63419141362176.

The previous prime is 120232122232129. The next prime is 120232122232147. The reversal of 120232122232131 is 131232221232021.

120232122232131 is a `hidden beast` number, since 1 + 202 + 3 + 21 + 2 + 223 + 213 + 1 = 666.

It is not a de Polignac number, because 120232122232131 - 21 = 120232122232129 is a prime.

It is a super-2 number, since 2×1202321222321312 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 120232122232095 and 120232122232104.

It is not an unprimeable number, because it can be changed into a prime (120232122232031) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 906128526 + ... + 906261203.

It is an arithmetic number, because the mean of its divisors is an integer number (3961883949780).

Almost surely, 2120232122232131 is an apocalyptic number.

120232122232131 is a deficient number, since it is larger than the sum of its proper divisors (101633378955549).

120232122232131 is an equidigital number, since it uses as much as digits as its factorization.

120232122232131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812389767 (or 1812389752 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 120232122232131 its reverse (131232221232021), we get a palindrome (251464343464152).

The spelling of 120232122232131 in words is "one hundred twenty trillion, two hundred thirty-two billion, one hundred twenty-two million, two hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 9 13 21 27 39 63 81 91 117 189 243 273 351 567 729 819 1053 1701 2457 3159 5103 7371 9477 22113 66339 1812389729 5437169187 12686728103 16311507561 23561066477 38060184309 48934522683 70683199431 114180552927 146803568049 164927465339 212049598293 342541658781 440410704147 494782396017 636148794879 1027624976343 1321232112441 1484347188051 1908446384637 3082874929029 4453041564153 5725339153911 9248624787087 13359124692459 17176017461733 40077374077377 120232122232131