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120348001011 = 3731210755733
BaseRepresentation
bin111000000010101001…
…1001100001011110011
3102111122020222220010210
41300011103030023303
53432433042013021
6131142003155203
711460223062420
oct1600523141363
9374566886123
10120348001011
1147048344467
121b3a8375b03
13b46c320724
145b79652d47
1531e57e6e76
hex1c054cc2f3

120348001011 has 48 divisors (see below), whose sum is σ = 191268387072. Its totient is φ = 65928726720.

The previous prime is 120348000991. The next prime is 120348001031. The reversal of 120348001011 is 110100843021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120348000991) and next prime (120348001031).

It is not a de Polignac number, because 120348001011 - 213 = 120347992819 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (120348001031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2131501 + ... + 2187233.

It is an arithmetic number, because the mean of its divisors is an integer number (3984758064).

Almost surely, 2120348001011 is an apocalyptic number.

120348001011 is a deficient number, since it is larger than the sum of its proper divisors (70920386061).

120348001011 is a wasteful number, since it uses less digits than its factorization.

120348001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55912 (or 55881 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 120348001011 its reverse (110100843021), we get a palindrome (230448844032).

The spelling of 120348001011 in words is "one hundred twenty billion, three hundred forty-eight million, one thousand, eleven".

Divisors: 1 3 7 21 31 93 107 217 321 651 749 961 2247 2883 3317 6727 9951 20181 23219 55733 69657 102827 167199 308481 390131 719789 1170393 1727723 2159367 5183169 5963431 12094061 17890293 36282183 41744017 53559413 125232051 160678239 184866361 374915891 554599083 1124747673 1294064527 3882193581 5730857191 17192571573 40116000337 120348001011