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120120031213 = 71317137566767
BaseRepresentation
bin110111111011110110…
…1100011011111101101
3102111001101000211100221
41233313231203133231
53432001211444323
6131103221051341
711451454263430
oct1576755433755
9374041024327
10120120031213
1146a40698376
121b343b56b51
13b434022560
145b5726d817
1531d07b555d
hex1bf7b637ed

120120031213 has 32 divisors (see below), whose sum is σ = 157679391744. Its totient is φ = 88796362752.

The previous prime is 120120031123. The next prime is 120120031243. The reversal of 120120031213 is 312130021021.

It is not a de Polignac number, because 120120031213 - 225 = 120086476781 is a prime.

It is a super-2 number, since 2×1201200312132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120120031243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71445 + ... + 495322.

It is an arithmetic number, because the mean of its divisors is an integer number (4927480992).

Almost surely, 2120120031213 is an apocalyptic number.

120120031213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120120031213 is a deficient number, since it is larger than the sum of its proper divisors (37559360531).

120120031213 is a wasteful number, since it uses less digits than its factorization.

120120031213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566941.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 120120031213 its reverse (312130021021), we get a palindrome (432250052234).

The spelling of 120120031213 in words is "one hundred twenty billion, one hundred twenty million, thirty-one thousand, two hundred thirteen".

Divisors: 1 7 13 17 91 119 137 221 959 1547 1781 2329 12467 16303 30277 211939 566767 3967369 7367971 9635039 51575797 67445273 77647079 125255507 543529553 876788549 1009412027 1320000343 7065884189 9240002401 17160004459 120120031213