Search a number
-
+
83121103313238 = 2399672038968171
BaseRepresentation
bin10010111001100100100011…
…110101100001100101010110
3101220022022002121101000210210
4102321210203311201211112
541343324004422010423
6452441150244230250
723336205266422464
oct2271444365414526
9356268077330723
1083121103313238
1124537509948561
1293a551539b386
13374c39531a243
141675123555834
15992285e20b93
hex4b9923d61956

83121103313238 has 32 divisors (see below), whose sum is σ = 166269479201280. Its totient is φ = 27702489402720.

The previous prime is 83121103313221. The next prime is 83121103313239. The reversal of 83121103313238 is 83231330112138.

It is a super-2 number, since 2×831211033132382 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83121103313196 and 83121103313205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83121103313239) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1219268893 + ... + 1219337063.

It is an arithmetic number, because the mean of its divisors is an integer number (5195921225040).

Almost surely, 283121103313238 is an apocalyptic number.

83121103313238 is an abundant number, since it is smaller than the sum of its proper divisors (83148375888042).

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

83121103313238 is a wasteful number, since it uses less digits than its factorization.

83121103313238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98532.

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 83121103313238 in words is "eighty-three trillion, one hundred twenty-one billion, one hundred three million, three hundred thirteen thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9967 19934 20389 29901 40778 59802 61167 68171 122334 136342 204513 409026 203217163 406434326 609651489 679460357 1219302978 1358920714 1389938519 2038381071 2779877038 4076762142 4169815557 8339631114 13853517218873 27707034437746 41560551656619 83121103313238