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1233130145121 = 327289183117159
BaseRepresentation
bin10001111100011100010…
…010001100010101100001
311100212220221220212020100
4101330130102030111201
5130200422304120441
62342254150333013
7155043054201300
oct21743422142541
94325827825210
101233130145121
11435a70901516
1217aba495a169
138c38c300b84
1443980576437
1522123514cb6
hex11f1c48c561

1233130145121 has 72 divisors (see below), whose sum is σ = 2096541532800. Its totient is φ = 696307328640.

The previous prime is 1233130145053. The next prime is 1233130145129. The reversal of 1233130145121 is 1215410313321.

1233130145121 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 130 + 14 + 512 + 1 = 666.

It is not a de Polignac number, because 1233130145121 - 210 = 1233130144097 is a prime.

It is a super-2 number, since 2×12331301451212 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1233130145129) 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, 71856340 + ... + 71873498.

It is an arithmetic number, because the mean of its divisors is an integer number (29118632400).

Almost surely, 21233130145121 is an apocalyptic number.

It is an amenable number.

1233130145121 is a deficient number, since it is larger than the sum of its proper divisors (863411387679).

1233130145121 is a wasteful number, since it uses less digits than its factorization.

1233130145121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19099 (or 19089 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 1233130145121 its reverse (1215410313321), we get a palindrome (2448540458442).

The spelling of 1233130145121 in words is "one trillion, two hundred thirty-three billion, one hundred thirty million, one hundred forty-five thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 89 147 267 441 623 801 1831 1869 4361 5493 5607 12817 13083 16479 17159 38451 39249 51477 89719 115353 120113 154431 162959 269157 360339 488877 807471 840791 1081017 1140713 1466631 1527151 2522373 3422139 4581453 7567119 7984991 10266417 10690057 13744359 23954973 31418129 32070171 71864919 74830399 94254387 96210513 219926903 224491197 282763161 659780709 673473591 1539488321 1979342127 2796213481 4618464963 8388640443 13855394889 19573494367 25165921329 58720483101 137014460569 176161449303 411043381707 1233130145121