Search a number
-
+
100313000223033 = 31322773907182821
BaseRepresentation
bin10110110011101111110000…
…101111101010000100111001
3111011011211101110110022102210
4112303233300233222010321
5101122012011024114113
6553203053415445333
730062242442141523
oct2663576057520471
9434154343408383
10100313000223033
1129a65560520454
12b3013b8986849
1343c86243c3c00
141aab26473aa13
15b8e5884266c3
hex5b3bf0bea139

100313000223033 has 48 divisors (see below), whose sum is σ = 145391456642496. Its totient is φ = 61492141751040.

The previous prime is 100313000223019. The next prime is 100313000223047. The reversal of 100313000223033 is 330322000313001.

It is an interprime number because it is at equal distance from previous prime (100313000223019) and next prime (100313000223047).

It is a de Polignac number, because none of the positive numbers 2k-100313000223033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100313000222033) 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, 548603763 + ... + 548786583.

It is an arithmetic number, because the mean of its divisors is an integer number (3028988680052).

Almost surely, 2100313000223033 is an apocalyptic number.

100313000223033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100313000223033 is a deficient number, since it is larger than the sum of its proper divisors (45078456419463).

100313000223033 is a wasteful number, since it uses less digits than its factorization.

100313000223033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187034 (or 187021 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 100313000223033 its reverse (330322000313001), we get a palindrome (430635000536034).

The spelling of 100313000223033 in words is "one hundred trillion, three hundred thirteen billion, two hundred twenty-three thousand, thirty-three".

Divisors: 1 3 13 39 169 277 507 831 3601 3907 10803 11721 46813 50791 140439 152373 182821 548463 660283 1082239 1980849 2376673 3246717 7130019 14069107 30896749 42207321 50641417 92690247 151924251 182898391 548695173 658338421 714281647 1975015263 2142844941 8558399473 9285661411 25675198419 27856984233 120713598343 197856016219 362140795029 593568048657 2572128210847 7716384632541 33437666741011 100313000223033