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120030006405 = 35101179499887
BaseRepresentation
bin110111111001001011…
…0001000110010000101
3102110211002122002112210
41233302112020302011
53431310140201110
6131050243334033
711446312135431
oct1576226106205
9373732562483
10120030006405
11469a489a401
121b319981319
13b41b49223a
145b493179c1
1531c7931520
hex1bf2588c85

120030006405 has 64 divisors (see below), whose sum is σ = 195644160000. Its totient is φ = 62830867200.

The previous prime is 120030006377. The next prime is 120030006433. The reversal of 120030006405 is 504600030021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120030006377) and next prime (120030006433).

It is not a de Polignac number, because 120030006405 - 217 = 120029875333 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135320872 + ... + 135321758.

It is an arithmetic number, because the mean of its divisors is an integer number (3056940000).

Almost surely, 2120030006405 is an apocalyptic number.

120030006405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120030006405 is a deficient number, since it is larger than the sum of its proper divisors (75614153595).

120030006405 is a wasteful number, since it uses less digits than its factorization.

120030006405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674.

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 120030006405 its reverse (504600030021), we get a palindrome (624630036426).

The spelling of 120030006405 in words is "one hundred twenty billion, thirty million, six thousand, four hundred five".

Divisors: 1 3 5 15 101 179 303 499 505 537 887 895 1497 1515 2495 2661 2685 4435 7485 13305 18079 50399 54237 89321 89587 90395 151197 158773 251995 267963 268761 271185 442613 446605 447935 476319 755985 793865 1327839 1339815 1343805 2213065 2381595 6639195 9021421 16036073 27064263 44703913 45107105 48108219 79227727 80180365 134111739 135321315 223519565 237683181 240541095 396138635 670558695 1188415905 8002000427 24006001281 40010002135 120030006405