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120101134114233 = 346176131940933
BaseRepresentation
bin11011010011101100111001…
…011011111001110110111001
3120202020120000112110100110000
4123103230321123321312321
5111220214110313123413
61103233411015543213
734204010031031146
oct3323547133716671
9522216015410400
10120101134114233
11352a46721a50a8
12115784a298ab09
135202646ba290c
142192cd698d3cd
15dd418d214073
hex6d3b396f9db9

120101134114233 has 40 divisors (see below), whose sum is σ = 182591115793416. Its totient is φ = 78651350956800.

The previous prime is 120101134114231. The next prime is 120101134114279. The reversal of 120101134114233 is 332411431101021.

120101134114233 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 0 + 1 + 13 + 411 + 4 + 233 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25278099119289 + 94823034994944 = 5027733^2 + 9737712^2 .

It is not a de Polignac number, because 120101134114233 - 21 = 120101134114231 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 120101134114197 and 120101134114206.

It is not an unprimeable number, because it can be changed into a prime (120101134114231) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12210366 + ... + 19730567.

Almost surely, 2120101134114233 is an apocalyptic number.

It is an amenable number.

120101134114233 is a deficient number, since it is larger than the sum of its proper divisors (62489981679183).

120101134114233 is an equidigital number, since it uses as much as digits as its factorization.

120101134114233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31941767 (or 31941758 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 120101134114233 its reverse (332411431101021), we get a palindrome (452512565215254).

The spelling of 120101134114233 in words is "one hundred twenty trillion, one hundred one billion, one hundred thirty-four million, one hundred fourteen thousand, two hundred thirty-three".

Divisors: 1 3 9 27 61 81 183 549 761 1647 2283 4941 6849 20547 46421 61641 139263 417789 1253367 3760101 31940933 95822799 287468397 862405191 1948396913 2587215573 5845190739 17535572217 24307050013 52606716651 72921150039 157820149953 218763450117 656290350351 1482730050793 1968871051053 4448190152379 13344570457137 40033711371411 120101134114233