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103313031222331 = 72101113251736013
BaseRepresentation
bin10111011111011001110000…
…100001101101010000111011
3111112210121222210001111221001
4113133121300201231100323
5102020140041443103311
61003421203515425431
730522056136655600
oct2737316041552073
9445717883044831
10103313031222331
112aa118a083a387
12b706911155277
1345854b9488898
141b7253d7c26a7
15be26207404c1
hex5df67086d43b

103313031222331 has 48 divisors (see below), whose sum is σ = 122932438056288. Its totient is φ = 86555011200000.

The previous prime is 103313031222241. The next prime is 103313031222371. The reversal of 103313031222331 is 133222130313301.

It is a happy number.

It is not a de Polignac number, because 103313031222331 - 219 = 103313030698043 is a prime.

It is a super-2 number, since 2×1033130312223312 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103313031222331.

It is not an unprimeable number, because it can be changed into a prime (103313031222371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140000481 + ... + 140736493.

It is an arithmetic number, because the mean of its divisors is an integer number (2561092459506).

Almost surely, 2103313031222331 is an apocalyptic number.

103313031222331 is a deficient number, since it is larger than the sum of its proper divisors (19619406833957).

103313031222331 is a wasteful number, since it uses less digits than its factorization.

103313031222331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736492 (or 736485 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 103313031222331 its reverse (133222130313301), we get a palindrome (236535161535632).

The spelling of 103313031222331 in words is "one hundred three trillion, three hundred thirteen billion, thirty-one million, two hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 7 49 101 113 251 707 791 1757 4949 5537 11413 12299 25351 28363 79891 177457 198541 559237 736013 1242199 1389787 2864663 5152091 20052641 36064637 74337313 83169469 140368487 184739263 520361191 582186283 1293174841 3642528337 4075303981 8400116369 9052223887 18658665563 20875536719 58800814583 130610658941 146128757033 411605702081 914274612587 1022901299231 2108429208619 14759004460333 103313031222331