Search a number
-
+
30131111333323 = 71113315318320761
BaseRepresentation
bin1101101100111011100100…
…01100000000110111001011
310221200111122221210120211101
412312131302030000313023
512422132004000131243
6144030012542042231
76226621012341340
oct666356214006713
9127614587716741
1030131111333323
119667594916380
123467740279377
1313a7475632160
147624d42a47c7
15373ba54b154d
hex1b6772300dcb

30131111333323 has 64 divisors (see below), whose sum is σ = 42548723933184. Its totient is φ = 20577877632000.

The previous prime is 30131111333269. The next prime is 30131111333327. The reversal of 30131111333323 is 32333311113103.

It is a de Polignac number, because none of the positive numbers 2k-30131111333323 is a prime.

It is a super-2 number, since 2×301311113333232 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30131111333291 and 30131111333300.

It is not an unprimeable number, because it can be changed into a prime (30131111333327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7515738 + ... + 10805023.

It is an arithmetic number, because the mean of its divisors is an integer number (664823811456).

Almost surely, 230131111333323 is an apocalyptic number.

30131111333323 is a deficient number, since it is larger than the sum of its proper divisors (12417612599861).

30131111333323 is a wasteful number, since it uses less digits than its factorization.

30131111333323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18320876.

The product of its (nonzero) digits is 4374, while the sum is 28.

Adding to 30131111333323 its reverse (32333311113103), we get a palindrome (62464422446426).

It can be divided in two parts, 3013111 and 1333323, that added together give a palindrome (4346434).

The spelling of 30131111333323 in words is "thirty trillion, one hundred thirty-one billion, one hundred eleven million, three hundred thirty-three thousand, three hundred twenty-three".

Divisors: 1 7 11 13 31 53 77 91 143 217 341 371 403 583 689 1001 1643 2387 2821 4081 4433 4823 7579 11501 18073 21359 31031 53053 126511 149513 234949 1644643 18320761 128245327 201528371 238169893 567943591 971000333 1410698597 1667189251 2619868823 3975605137 6247379501 6797002331 7383266683 10681003663 12623004329 18339081761 30101010323 43731656507 51682866781 74767025641 81215933513 88361030303 138853047619 210707072261 331111113553 391313134199 568511534591 971971333333 2317777794871 2739191939393 4304444476189 30131111333323