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30423023505 = 32573113722741
BaseRepresentation
bin11100010101010110…
…100111111110010001
32220112020021201112100
4130111112213332101
5444301243223010
621550502551013
72124624301350
oct342526477621
986466251470
1030423023505
11119a2004936
125a90738469
132b3ac08074
1416886c3997
15bd0d392c0
hex7155a7f91

30423023505 has 96 divisors (see below), whose sum is σ = 62667491328. Its totient is φ = 13360204800.

The previous prime is 30423023503. The next prime is 30423023507. The reversal of 30423023505 is 50532032403.

30423023505 is a `hidden beast` number, since 3 + 0 + 4 + 2 + 302 + 350 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (30423023503) and next prime (30423023507).

It is not a de Polignac number, because 30423023505 - 21 = 30423023503 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (30423023503) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1326435 + ... + 1349175.

It is an arithmetic number, because the mean of its divisors is an integer number (652786368).

Almost surely, 230423023505 is an apocalyptic number.

30423023505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

30423023505 is an abundant number, since it is smaller than the sum of its proper divisors (32244467823).

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

30423023505 is a wasteful number, since it uses less digits than its factorization.

30423023505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22927 (or 22924 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

Adding to 30423023505 its reverse (50532032403), we get a palindrome (80955055908).

The spelling of 30423023505 in words is "thirty billion, four hundred twenty-three million, twenty-three thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 31 35 45 63 93 105 137 155 217 279 315 411 465 651 685 959 1085 1233 1395 1953 2055 2877 3255 4247 4795 6165 8631 9765 12741 14385 21235 22741 29729 38223 43155 63705 68223 89187 113705 148645 159187 191115 204669 267561 341115 445935 477561 704971 795935 1023345 1337805 1432683 2114913 2387805 3115517 3524855 4934797 6344739 7163415 9346551 10574565 14804391 15577585 21808619 24673985 28039653 31723695 44413173 46732755 65425857 74021955 96581027 109043095 140198265 196277571 222065865 289743081 327129285 482905135 676067189 869229243 981387855 1448715405 2028201567 3380335945 4346146215 6084604701 10141007835 30423023505