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120232121130333 = 32172227293695003
BaseRepresentation
bin11011010101100110111000…
…110111101101110101011101
3120202201002010020122012121200
4123111212320313231311131
5111224340341002132313
61103413512434150113
734216325021221362
oct3325467067556535
9522632106565550
10120232121130333
1135345179a2a013
121159995a122339
135211ac03b9834
1421993a1186469
15dd77a7a41b73
hex6d59b8dedd5d

120232121130333 has 72 divisors (see below), whose sum is σ = 185930744938848. Its totient is φ = 74850981477888.

The previous prime is 120232121130241. The next prime is 120232121130337. The reversal of 120232121130333 is 333031121232021.

120232121130333 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 3 + 212 + 113 + 0 + 333 = 666.

It is not a de Polignac number, because 120232121130333 - 224 = 120232104353117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120232121130297 and 120232121130306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120232121130337) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 172647610 + ... + 173342612.

It is an arithmetic number, because the mean of its divisors is an integer number (2582371457484).

Almost surely, 2120232121130333 is an apocalyptic number.

It is an amenable number.

120232121130333 is a deficient number, since it is larger than the sum of its proper divisors (65698623808515).

120232121130333 is a wasteful number, since it uses less digits than its factorization.

120232121130333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695563 (or 695543 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 120232121130333 its reverse (333031121232021), we get a palindrome (453263242362354).

The spelling of 120232121130333 in words is "one hundred twenty trillion, two hundred thirty-two billion, one hundred twenty-one million, one hundred thirty thousand, three hundred thirty-three".

Divisors: 1 3 9 17 51 153 227 289 293 681 867 879 2043 2601 2637 3859 4981 11577 14943 34731 44829 65603 66511 84677 196809 199533 254031 590427 598599 695003 762093 1130687 2085009 3392061 6255027 10176183 11815051 19221679 35445153 57665037 106335459 157765681 172995111 200855867 203635879 473297043 602567601 610907637 1419891129 1807702803 1832722911 2682016577 3461809943 8046049731 10385429829 24138149193 31156289487 45594281809 46225344533 58850769031 136782845427 138676033599 176552307093 410348536281 416028100797 529656921279 785830857061 2357492571183 7072477713549 13359124570037 40077373710111 120232121130333