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120130001302113 = 32113765949765589
BaseRepresentation
bin11011010100000111110010…
…000011011111001001100001
3120202100022112100011102201200
4123110013302003133021201
5111221202220313131423
61103254543303551413
734206051264053565
oct3324076203371141
9522308470142650
10120130001302113
1135305935a52670
1211581bba45b569
13520529766908a
1421944747976a5
15dd4ccc674d43
hex6d41f20df261

120130001302113 has 48 divisors (see below), whose sum is σ = 194706875563200. Its totient is φ = 70730834912640.

The previous prime is 120130001302027. The next prime is 120130001302117. The reversal of 120130001302113 is 311203100031021.

120130001302113 is a `hidden beast` number, since 1 + 20 + 1 + 300 + 0 + 130 + 211 + 3 = 666.

It is not a de Polignac number, because 120130001302113 - 213 = 120130001293921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120130001302117) 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 47 ways as a sum of consecutive naturals, for example, 22468878 + ... + 27296711.

It is an arithmetic number, because the mean of its divisors is an integer number (4056393240900).

Almost surely, 2120130001302113 is an apocalyptic number.

It is an amenable number.

120130001302113 is a deficient number, since it is larger than the sum of its proper divisors (74576874261087).

120130001302113 is a wasteful number, since it uses less digits than its factorization.

120130001302113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49766302 (or 49766299 counting only the distinct ones).

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

Adding to 120130001302113 its reverse (311203100031021), we get a palindrome (431333101333134).

The spelling of 120130001302113 in words is "one hundred twenty trillion, one hundred thirty billion, one million, three hundred two thousand, one hundred thirteen".

Divisors: 1 3 9 11 33 37 99 111 333 407 659 1221 1977 3663 5931 7249 21747 24383 65241 73149 219447 268213 804639 2413917 49765589 149296767 447890301 547421479 1642264437 1841326793 4926793311 5523980379 16571941137 20254594723 32795523151 60763784169 98386569453 182291352507 295159708359 360750754661 1082252263983 1213434356587 3246756791949 3640303069761 10920909209283 13347777922457 40043333767371 120130001302113