Search a number
-
+
122330043543232 = 267833289857023
BaseRepresentation
bin11011110100001000101110…
…110010100110111011000000
3121001010122020001210001010001
4123310020232302212323000
5112013223412121340412
61112101351324245344
734524024342416620
oct3364105662467300
9531118201701101
10122330043543232
1135a83975495a68
12118784700a0854
13533489abbc255
14222cb3cba2880
15e2214266c957
hex6f422eca6ec0

122330043543232 has 56 divisors (see below), whose sum is σ = 280769557856256. Its totient is φ = 51795508954368.

The previous prime is 122330043543223. The next prime is 122330043543241. The reversal of 122330043543232 is 232345340033221.

It is an interprime number because it is at equal distance from previous prime (122330043543223) and next prime (122330043543241).

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×1223300435432323 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122330043543191 and 122330043543200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1644891328 + ... + 1644965695.

It is an arithmetic number, because the mean of its divisors is an integer number (5013742104576).

Almost surely, 2122330043543232 is an apocalyptic number.

It is an amenable number.

122330043543232 is an abundant number, since it is smaller than the sum of its proper divisors (158439514313024).

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

122330043543232 is an equidigital number, since it uses as much as digits as its factorization.

122330043543232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3289857125 (or 3289857115 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 37.

Adding to 122330043543232 its reverse (232345340033221), we get a palindrome (354675383576453).

The spelling of 122330043543232 in words is "one hundred twenty-two trillion, three hundred thirty billion, forty-three million, five hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 166 224 332 448 581 664 1162 1328 2324 2656 4648 5312 9296 18592 37184 3289857023 6579714046 13159428092 23028999161 26318856184 46057998322 52637712368 92115996644 105275424736 184231993288 210550849472 273058132909 368463986576 546116265818 736927973152 1092232531636 1473855946304 1911406930363 2184465063272 3822813860726 4368930126544 7645627721452 8737860253088 15291255442904 17475720506176 30582510885808 61165021771616 122330043543232