Search a number
-
+
30113363300634 = 23217457215338477
BaseRepresentation
bin1101101100011010100000…
…10100101001000100011010
310221121210212001202002222100
412312031100110221010122
512421334132001110014
6144013515500104230
76225422133503655
oct666152024510432
9127553761662870
1030113363300634
119660007590769
123464208535076
1313a58a7682873
147616cd10689c
153734b72ca009
hex1b635052911a

30113363300634 has 48 divisors (see below), whose sum is σ = 69234766092648. Its totient is φ = 9426657125376.

The previous prime is 30113363300591. The next prime is 30113363300653. The reversal of 30113363300634 is 43600336331103.

30113363300634 is a `hidden beast` number, since 3 + 0 + 1 + 13 + 3 + 6 + 3 + 3 + 0 + 0 + 634 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25939698168609 + 4173665132025 = 5093103^2 + 2042955^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107529397 + ... + 107809080.

Almost surely, 230113363300634 is an apocalyptic number.

30113363300634 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

30113363300634 is an abundant number, since it is smaller than the sum of its proper divisors (39121402792014).

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

30113363300634 is a wasteful number, since it uses less digits than its factorization.

30113363300634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215338959 (or 215338956 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 36.

Adding to 30113363300634 its reverse (43600336331103), we get a palindrome (73713699631737).

The spelling of 30113363300634 in words is "thirty trillion, one hundred thirteen billion, three hundred sixty-three million, three hundred thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 457 914 1371 2742 4113 7769 8226 15538 23307 46614 69921 139842 215338477 430676954 646015431 1292030862 1938046293 3660754109 3876092586 7321508218 10982262327 21964524654 32946786981 65893573962 98409683989 196819367978 295229051967 590458103934 885687155901 1672964627813 1771374311802 3345929255626 5018893883439 10037787766878 15056681650317 30113363300634