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12031135314030 = 2325719097040181
BaseRepresentation
bin1010111100010011011110…
…0010111111000001101110
31120121011110111122221020100
42233010313202333001232
53034104231120022110
641331005515531530
72351135514554550
oct257046742770156
946534414587210
1012031135314030
113919415263098
12142386aa59ba6
136936ba04b321
142d844ab194d0
1515ce56558bc0
hexaf1378bf06e

12031135314030 has 48 divisors (see below), whose sum is σ = 35749659220704. Its totient is φ = 2749973785920.

The previous prime is 12031135313993. The next prime is 12031135314073. The reversal of 12031135314030 is 3041353113021.

12031135314030 is a `hidden beast` number, since 1 + 2 + 0 + 311 + 3 + 5 + 314 + 0 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12031135313985 and 12031135314003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9548519461 + ... + 9548520720.

It is an arithmetic number, because the mean of its divisors is an integer number (744784567098).

Almost surely, 212031135314030 is an apocalyptic number.

12031135314030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12031135314030 is an abundant number, since it is smaller than the sum of its proper divisors (23718523906674).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12031135314030 is a wasteful number, since it uses less digits than its factorization.

12031135314030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19097040201 (or 19097040198 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 12031135314030 its reverse (3041353113021), we get a palindrome (15072488427051).

The spelling of 12031135314030 in words is "twelve trillion, thirty-one billion, one hundred thirty-five million, three hundred fourteen thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 19097040181 38194080362 57291120543 95485200905 114582241086 133679281267 171873361629 190970401810 267358562534 286455602715 343746723258 401037843801 572911205430 668396406335 802075687602 859366808145 1203113531403 1336792812670 1718733616290 2005189219005 2406227062806 4010378438010 6015567657015 12031135314030