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123352241055340 = 225118360891109431
BaseRepresentation
bin11100000011000000101110…
…100000101010011001101100
3121011202100200202201220202011
4130003000232200222121230
5112132000342202232330
61114203123124411004
734660622345050453
oct3403005640523154
9534670622656664
10123352241055340
1136338434320290
1211a025a7b46a64
1353aa0b2c0282b
1422663cd2c1b9a
15e3da1ca2982a
hex70302e82a66c

123352241055340 has 96 divisors (see below), whose sum is σ = 286040681095680. Its totient is φ = 44307616550400.

The previous prime is 123352241055313. The next prime is 123352241055401. The reversal of 123352241055340 is 43550142253321.

It is a junction number, because it is equal to n+sod(n) for n = 123352241055293 and 123352241055302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110630425 + ... + 111739855.

It is an arithmetic number, because the mean of its divisors is an integer number (2979590428080).

Almost surely, 2123352241055340 is an apocalyptic number.

123352241055340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123352241055340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143020340547840).

123352241055340 is an abundant number, since it is smaller than the sum of its proper divisors (162688440040340).

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

123352241055340 is a wasteful number, since it uses less digits than its factorization.

123352241055340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115623 (or 1115621 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 123352241055340 in words is "one hundred twenty-three trillion, three hundred fifty-two billion, two hundred forty-one million, fifty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 220 332 415 830 913 1660 1826 3652 4565 6089 9130 12178 18260 24356 30445 60890 66979 121780 133958 267916 334895 505387 669790 1010774 1109431 1339580 2021548 2218862 2526935 4437724 5053870 5547155 5559257 10107740 11094310 11118514 12203741 22188620 22237028 24407482 27796285 48814964 55592570 61018705 92082773 111185140 122037410 184165546 244074820 368331092 460413865 920827730 1012910503 1841655460 2025821006 4051642012 5064552515 6755325359 10129105030 13510650718 20258210060 27021301436 33776626795 67553253590 74308578949 135106507180 148617157898 297234315796 371542894745 560692004797 743085789490 1121384009594 1486171578980 2242768019188 2803460023985 5606920047970 6167612052767 11213840095940 12335224105534 24670448211068 30838060263835 61676120527670 123352241055340