Search a number
-
+
123350345000025 = 352111327312119281
BaseRepresentation
bin11100000010111110111101…
…011111110010010001011001
3121011202011210121222022211020
4130002332331133302101121
5112131433001310000100
61114202211033353053
734660524352620423
oct3402767537622131
9534664717868736
10123350345000025
1136337651019920
1211a02158b68789
1353a9b70150600
14226628d563813
15e3d95b34a5a0
hex702fbd7f2459

123350345000025 has 144 divisors (see below), whose sum is σ = 244209543463872. Its totient is φ = 54449501184000.

The previous prime is 123350345000021. The next prime is 123350345000081. The reversal of 123350345000025 is 520000543053321.

It is not a de Polignac number, because 123350345000025 - 22 = 123350345000021 is a prime.

It is a super-2 number, since 2×1233503450000252 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 123350345000025.

It is not an unprimeable number, because it can be changed into a prime (123350345000021) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4118385 + ... + 16237665.

It is an arithmetic number, because the mean of its divisors is an integer number (1695899607388).

Almost surely, 2123350345000025 is an apocalyptic number.

123350345000025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123350345000025 is a deficient number, since it is larger than the sum of its proper divisors (120859198463847).

123350345000025 is a wasteful number, since it uses less digits than its factorization.

123350345000025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12119404 (or 12119386 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 33.

Adding to 123350345000025 its reverse (520000543053321), we get a palindrome (643350888053346).

The spelling of 123350345000025 in words is "one hundred twenty-three trillion, three hundred fifty billion, three hundred forty-five million, twenty-five", and thus it is an aban number.

Divisors: 1 3 5 11 13 15 25 33 39 55 65 73 75 143 165 169 195 219 275 325 365 429 507 715 803 825 845 949 975 1095 1825 1859 2145 2409 2535 2847 3575 4015 4225 4745 5475 5577 9295 10439 10725 12045 12337 12675 14235 20075 23725 27885 31317 37011 46475 52195 60225 61685 71175 135707 139425 156585 185055 260975 308425 407121 678535 782925 925275 2035605 3392675 10178025 12119281 36357843 60596405 133312091 157550653 181789215 302982025 399936273 472651959 666560455 787753265 884707513 908946075 1733057183 1999681365 2048158489 2363259795 2654122539 3332802275 3938766325 4423537565 5199171549 6144475467 8665285915 9731782643 9998406825 10240792445 11501197669 11816298975 13270612695 22117687825 22529743379 25995857745 29195347929 30722377335 34503593007 43326429575 48658913215 51203962225 57505988345 66353063475 67589230137 112648716895 126513174359 129979288725 145976739645 149515569697 153611886675 172517965035 243294566075 287529941725 337946150685 379539523077 448546709091 563243584475 632565871795 729883698225 747577848485 862589825175 1644671266667 1689730753425 1897697615385 2242733545455 3162829358975 3737889242425 4934013800001 8223356333335 9488488076925 11213667727275 24670069000005 41116781666675 123350345000025