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120130023331233 = 361931401697693
BaseRepresentation
bin11011010100000111110011…
…010111100001010110100001
3120202100022120212121122000000
4123110013303113201112201
5111221202241433044413
61103254545412050213
734206051652233456
oct3324076327412641
9522308525548000
10120130023331233
1135305947429453
1211582005903969
13520529c0acc66
14219447768d82d
15dd4cce577073
hex6d41f35e15a1

120130023331233 has 112 divisors (see below), whose sum is σ = 196196464565760. Its totient is φ = 73240915392000.

The previous prime is 120130023331229. The next prime is 120130023331259. The reversal of 120130023331233 is 332133320031021.

120130023331233 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 300 + 2 + 3 + 331 + 23 + 3 = 666.

It is not a de Polignac number, because 120130023331233 - 22 = 120130023331229 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 = 120130023331197 and 120130023331206.

It is not an unprimeable number, because it can be changed into a prime (120130023331273) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 171832935 + ... + 172530627.

Almost surely, 2120130023331233 is an apocalyptic number.

It is an amenable number.

120130023331233 is a deficient number, since it is larger than the sum of its proper divisors (76066441234527).

120130023331233 is an equidigital number, since it uses as much as digits as its factorization.

120130023331233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698162 (or 698147 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 120130023331233 its reverse (332133320031021), we get a palindrome (452263343362254).

The spelling of 120130023331233 in words is "one hundred twenty trillion, one hundred thirty billion, twenty-three million, three hundred thirty-one thousand, two hundred thirty-three".

Divisors: 1 3 9 19 27 31 57 81 93 171 243 279 401 513 589 729 837 1203 1539 1767 2511 3609 4617 5301 7533 7619 10827 12431 13851 15903 22599 22857 32481 37293 47709 68571 97443 111879 143127 205713 236189 292329 335637 429381 617139 697693 708567 1006911 1851417 2093079 2125701 3020733 5554251 6279237 6377103 9062199 13256167 18837711 19131309 21628483 39768501 56513133 57393927 64885449 119305503 169539399 172181781 194656347 279774893 357916509 410941177 508618197 583969041 839324679 1073749527 1232823531 1751907123 2517974037 3221248581 3698470593 5255721369 5315722967 7553922111 8673021683 9663745743 11095411779 15767164107 15947168901 22661766333 26019065049 33286235337 47841506703 67985298999 78057195147 99858706011 143524520109 164787411977 203955896997 234171585441 299576118033 430573560327 494362235931 702514756323 1291720680981 1483086707793 2107544268969 3875162042943 4449260123379 6322632806907 13347780370137 40043341110411 120130023331233