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120313313021 = 11210165914939
BaseRepresentation
bin111000000001100111…
…0110111011011111101
3102111112211201120011102
41300003032313123331
53432400202004041
6131134323502445
711456322200306
oct1600316673375
9374484646142
10120313313021
114702a801900
121b398827a25
13b4650969a5
145b74bc37ad
1531e274409b
hex1c033b76fd

120313313021 has 24 divisors (see below), whose sum is σ = 133766186400. Its totient is φ = 108121244000.

The previous prime is 120313313011. The next prime is 120313313093.

120313313021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 120313313021 - 214 = 120313296637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120313312984 and 120313313002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120313313011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8046170 + ... + 8061108.

It is an arithmetic number, because the mean of its divisors is an integer number (5573591100).

Almost surely, 2120313313021 is an apocalyptic number.

120313313021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120313313021 is a deficient number, since it is larger than the sum of its proper divisors (13452873379).

120313313021 is a wasteful number, since it uses less digits than its factorization.

120313313021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15721 (or 15710 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 120313 and 313021, that added together give a palindrome (433334).

The spelling of 120313313021 in words is "one hundred twenty billion, three hundred thirteen million, three hundred thirteen thousand, twenty-one".

Divisors: 1 11 101 121 659 1111 7249 12221 14939 66559 79739 164329 732149 1508839 1807619 8053639 9844801 16597229 108292811 182569519 994324901 1191220921 10937573911 120313313021