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342212323212243 = 32112378493096151
BaseRepresentation
bin100110111001111011000001…
…1111101100111101111010011
31122212200011211012022011211100
41031303312003331213233103
5324323301314220242433
63211454100532515443
7132040011246550311
oct11563660375475723
91585604735264740
10342212323212243
119a048481aa6300
123246b05a77bb83
13118c4639651973
1460712443970b1
152986adb7e4b13
hex1373d83f67bd3

342212323212243 has 36 divisors (see below), whose sum is σ = 558013403378704. Its totient is φ = 201795964524000.

The previous prime is 342212323212209. The next prime is 342212323212257.

342212323212243 is a `hidden beast` number, since 3 + 42 + 2 + 1 + 232 + 321 + 22 + 43 = 666.

342212323212243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 342212323212243 - 210 = 342212323211219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 342212323212198 and 342212323212207.

It is not an unprimeable number, because it can be changed into a prime (342212323212343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4246507783 + ... + 4246588368.

Almost surely, 2342212323212243 is an apocalyptic number.

342212323212243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

342212323212243 is a deficient number, since it is larger than the sum of its proper divisors (215801080166461).

342212323212243 is a wasteful number, since it uses less digits than its factorization.

342212323212243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8493096216 (or 8493096202 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The spelling of 342212323212243 in words is "three hundred forty-two trillion, two hundred twelve billion, three hundred twenty-three million, two hundred twelve thousand, two hundred forty-three".

Divisors: 1 3 9 11 33 37 99 111 121 333 363 407 1089 1221 3663 4477 13431 40293 8493096151 25479288453 76437865359 93424057661 280272172983 314244557587 840816518949 942733672761 1027664634271 2828201018283 3082993902813 3456690133457 9248981708439 10370070400371 31110211201113 38023591468027 114070774404081 342212323212243