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120320212331 = 112910110934261
BaseRepresentation
bin111000000001110100…
…1001011110101101011
3102111120022201002020102
41300003221023311223
53432403433243311
6131135131420015
711456434634024
oct1600351136553
9374508632212
10120320212331
1147033694410
121b39abb460b
13b466641117
145b75a9bc4b
1531e315843b
hex1c03a4bd6b

120320212331 has 32 divisors (see below), whose sum is σ = 138391070400. Its totient is φ = 103602240000.

The previous prime is 120320212321. The next prime is 120320212343. The reversal of 120320212331 is 133212023021.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-120320212331 is a prime.

It is a super-2 number, since 2×1203202123312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120320212321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3494741 + ... + 3529001.

It is an arithmetic number, because the mean of its divisors is an integer number (4324720950).

Almost surely, 2120320212331 is an apocalyptic number.

120320212331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120320212331 is a deficient number, since it is larger than the sum of its proper divisors (18070858069).

120320212331 is a wasteful number, since it uses less digits than its factorization.

120320212331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34511.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 120320212331 its reverse (133212023021), we get a palindrome (253532235352).

The spelling of 120320212331 in words is "one hundred twenty billion, three hundred twenty million, two hundred twelve thousand, three hundred thirty-one".

Divisors: 1 11 29 101 109 319 1111 1199 2929 3161 11009 32219 34261 34771 121099 319261 376871 993569 3460361 3511871 3734449 10929259 38063971 41078939 100350469 108299021 377179349 1103855159 1191289231 4148972839 10938201121 120320212331