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102303320031 = 3511127301361
BaseRepresentation
bin101111101000111000…
…0001100011111011111
3100210001200202010100000
41133101300030133133
53134004122220111
6114555243105343
710251112605153
oct1372160143737
9323050663300
10102303320031
113a428614580
12179b1212253
139854a77ac3
144d46d15063
1529db564c56
hex17d1c0c7df

102303320031 has 48 divisors (see below), whose sum is σ = 168492699648. Its totient is φ = 61513603200.

The previous prime is 102303320023. The next prime is 102303320087. The reversal of 102303320031 is 130023303201.

102303320031 is a `hidden beast` number, since 10 + 2 + 303 + 320 + 0 + 31 = 666.

It is not a de Polignac number, because 102303320031 - 23 = 102303320023 is a prime.

It is a super-2 number, since 2×1023033200312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102303319986 and 102303320013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102303320531) 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, 188791 + ... + 490151.

It is an arithmetic number, because the mean of its divisors is an integer number (3510264576).

Almost surely, 2102303320031 is an apocalyptic number.

102303320031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102303320031 is a deficient number, since it is larger than the sum of its proper divisors (66189379617).

102303320031 is a wasteful number, since it uses less digits than its factorization.

102303320031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301514 (or 301502 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 102303320031 its reverse (130023303201), we get a palindrome (232326623232).

The spelling of 102303320031 in words is "one hundred two billion, three hundred three million, three hundred twenty thousand, thirty-one".

Divisors: 1 3 9 11 27 33 81 99 127 243 297 381 891 1143 1397 2673 3429 4191 10287 12573 30861 37719 113157 301361 339471 904083 2712249 3314971 8136747 9944913 24410241 29834739 38272847 73230723 89504217 114818541 268512651 344455623 421001317 805537953 1033366869 1263003951 3100100607 3789011853 9300301821 11367035559 34101106677 102303320031