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103022233132231 = 733531061801949
BaseRepresentation
bin10111011011001010111011…
…100111000001110011000111
3111111202211101120010221111201
4113123022323213001303013
5102000404013140212411
61003035432135243331
730462052655665000
oct2733127347016307
9444684346127451
10103022233132231
112a90a5359011a6
12b67a495519547
134563c54bb299a
141b624348141a7
15bd9ca0d433c1
hex5db2bb9c1cc7

103022233132231 has 32 divisors (see below), whose sum is σ = 120596599440000. Its totient is φ = 87971514301440.

The previous prime is 103022233132211. The next prime is 103022233132249. The reversal of 103022233132231 is 132231332220301.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-103022233132231 is a prime.

It is a super-4 number, since 4×1030222331322314 (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103022233132231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103022233132211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128063845 + ... + 128865793.

It is an arithmetic number, because the mean of its divisors is an integer number (3768643732500).

Almost surely, 2103022233132231 is an apocalyptic number.

103022233132231 is a deficient number, since it is larger than the sum of its proper divisors (17574366307769).

103022233132231 is an equidigital number, since it uses as much as digits as its factorization.

103022233132231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803384 (or 803370 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 103022233132231 its reverse (132231332220301), we get a palindrome (235253565352532).

The spelling of 103022233132231 in words is "one hundred three trillion, twenty-two billion, two hundred thirty-three million, one hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 7 49 343 353 1061 2471 7427 17297 51989 121079 363923 374533 801949 2621731 5613643 18352117 39295501 128464819 275068507 283087997 850867889 1981615979 5956075223 13871311853 41692526561 97099182971 291847685927 300356364817 2102494553719 14717461876033 103022233132231