Search a number
-
+
120213311310 = 23251335703459
BaseRepresentation
bin110111111110101000…
…1011000111101001110
3102111021212112221121100
41233331101120331032
53432144101430220
6131120352243530
711453666200161
oct1577521307516
9374255487540
10120213311310
1146a8930a064
121b36b2405a6
13b44a452491
145b657d1ad8
1531d8a8dd90
hex1bfd458f4e

120213311310 has 24 divisors (see below), whose sum is σ = 312554609640. Its totient is φ = 32056882992.

The previous prime is 120213311293. The next prime is 120213311311. The reversal of 120213311310 is 13113312021.

120213311310 is a `hidden beast` number, since 1 + 2 + 0 + 21 + 331 + 1 + 310 = 666.

It is a super-2 number, since 2×1202133113102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120213311311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 667851640 + ... + 667851819.

It is an arithmetic number, because the mean of its divisors is an integer number (13023108735).

Almost surely, 2120213311310 is an apocalyptic number.

120213311310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120213311310 is an abundant number, since it is smaller than the sum of its proper divisors (192341298330).

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

120213311310 is a wasteful number, since it uses less digits than its factorization.

120213311310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335703472 (or 1335703469 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 120213311310 its reverse (13113312021), we get a palindrome (133326623331).

The spelling of 120213311310 in words is "one hundred twenty billion, two hundred thirteen million, three hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1335703459 2671406918 4007110377 6678517295 8014220754 12021331131 13357034590 20035551885 24042662262 40071103770 60106655655 120213311310