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145122352000310 = 25151337285185513
BaseRepresentation
bin100000111111110011101110…
…001111010110110100110110
3201000211120011020020021101102
4200333303232033112310312
5123010141034103002220
61232352142123330102
742365513111633336
oct4077635617266466
9630746136207342
10145122352000310
1142271053410533
1214339826080932
1362c8c9603cb89
1427b9d605030c6
1511b9e73407775
hex83fcee3d6d36

145122352000310 has 32 divisors (see below), whose sum is σ = 263730437410752. Its totient is φ = 57493399219200.

The previous prime is 145122352000271. The next prime is 145122352000313. The reversal of 145122352000310 is 13000253221541.

It is a super-2 number, since 2×1451223520003102 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145122352000313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142083887 + ... + 143101626.

It is an arithmetic number, because the mean of its divisors is an integer number (8241576169086).

Almost surely, 2145122352000310 is an apocalyptic number.

145122352000310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145122352000310 is a deficient number, since it is larger than the sum of its proper divisors (118608085410442).

145122352000310 is a wasteful number, since it uses less digits than its factorization.

145122352000310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285186008.

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 145122352000310 in words is "one hundred forty-five trillion, one hundred twenty-two billion, three hundred fifty-two million, three hundred ten", and thus it is an aban number.

Divisors: 1 2 5 10 151 302 337 674 755 1510 1685 3370 50887 101774 254435 508870 285185513 570371026 1425927565 2851855130 43063012463 86126024926 96107517881 192215035762 215315062315 430630124630 480537589405 961075178810 14512235200031 29024470400062 72561176000155 145122352000310