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23122123312120 = 2357449183917621
BaseRepresentation
bin1010100000111100010011…
…11100100100101111111000
310000212110020112021211020221
411100132021330210233320
511012313102031441440
6121102053512025424
74604342525220520
oct520361174445770
9100773215254227
1023122123312120
1174050458a9738
122715280392274
13cb9539b8b9b1
1459d18c494680
152a16d5b9ed4a
hex150789f24bf8

23122123312120 has 64 divisors (see below), whose sum is σ = 59589309528000. Its totient is φ = 7909929000960.

The previous prime is 23122123312007. The next prime is 23122123312147. The reversal of 23122123312120 is 2121332122132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91833091 + ... + 92084530.

It is an arithmetic number, because the mean of its divisors is an integer number (931082961375).

Almost surely, 223122123312120 is an apocalyptic number.

23122123312120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23122123312120 is an abundant number, since it is smaller than the sum of its proper divisors (36467186215880).

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

23122123312120 is a wasteful number, since it uses less digits than its factorization.

23122123312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183918088 (or 183918084 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 23122123312120 its reverse (2121332122132), we get a palindrome (25243455434252).

The spelling of 23122123312120 in words is "twenty-three trillion, one hundred twenty-two billion, one hundred twenty-three million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 449 898 1796 2245 3143 3592 4490 6286 8980 12572 15715 17960 25144 31430 62860 125720 183917621 367835242 735670484 919588105 1287423347 1471340968 1839176210 2574846694 3678352420 5149693388 6437116735 7356704840 10299386776 12874233470 25748466940 51496933880 82579011829 165158023658 330316047316 412895059145 578053082803 660632094632 825790118290 1156106165606 1651580236580 2312212331212 2890265414015 3303160473160 4624424662424 5780530828030 11561061656060 23122123312120