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120342100338 = 232263194913043
BaseRepresentation
bin111000000010011110…
…0101011100101110010
3102111121211220002221100
41300010330223211302
53432430034202323
6131141232505230
711460121655325
oct1600474534562
9374554802840
10120342100338
1147044a84179
121b3a63ab216
13b46b0359c5
145b789587bc
1531e502d943
hex1c04f2b972

120342100338 has 48 divisors (see below), whose sum is σ = 261886996800. Its totient is φ = 39937942752.

The previous prime is 120342100327. The next prime is 120342100357. The reversal of 120342100338 is 833001243021.

120342100338 is a `hidden beast` number, since 1 + 203 + 421 + 0 + 0 + 3 + 38 = 666.

It is a super-2 number, since 2×1203421003382 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9220045 + ... + 9233087.

It is an arithmetic number, because the mean of its divisors is an integer number (5455979100).

Almost surely, 2120342100338 is an apocalyptic number.

120342100338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

120342100338 is an abundant number, since it is smaller than the sum of its proper divisors (141544896462).

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

120342100338 is a wasteful number, since it uses less digits than its factorization.

120342100338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15263 (or 15260 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 120342100338 its reverse (833001243021), we get a palindrome (953343343359).

The spelling of 120342100338 in words is "one hundred twenty billion, three hundred forty-two million, one hundred thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 263 526 789 1578 1949 2367 3898 4734 5847 11694 13043 17541 26086 35082 39129 78258 117387 234774 512587 1025174 1537761 3075522 3430309 4613283 6860618 9226566 10290927 20581854 25420807 30872781 50841614 61745562 76262421 152524842 228787263 457574526 6685672241 13371344482 20057016723 40114033446 60171050169 120342100338