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123023302301020 = 225112677110686583
BaseRepresentation
bin11011111110001110011000…
…001110111001010101011100
3121010120220122110102212000111
4123332032120032321111130
5112111103210342113040
61113352042545335404
734625066054553022
oct3376163016712534
9533526573385014
10123023302301020
1136220986a35600
121196a8a7037564
135385080840c74
142254506a66712
15e351b99bedea
hex6fe3983b955c

123023302301020 has 144 divisors (see below), whose sum is σ = 292267984264704. Its totient is φ = 43447367779200.

The previous prime is 123023302300957. The next prime is 123023302301023. The reversal of 123023302301020 is 20103203320321.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 123023302300982 and 123023302301000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123023302301023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6168649 + ... + 16855231.

It is an arithmetic number, because the mean of its divisors is an integer number (2029638779616).

Almost surely, 2123023302301020 is an apocalyptic number.

123023302301020 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 123023302301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146133992132352).

123023302301020 is an abundant number, since it is smaller than the sum of its proper divisors (169244681963684).

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

123023302301020 is a wasteful number, since it uses less digits than its factorization.

123023302301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10686752 (or 10686739 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 123023302301020 its reverse (20103203320321), we get a palindrome (143126505621341).

The spelling of 123023302301020 in words is "one hundred twenty-three trillion, twenty-three billion, three hundred two million, three hundred one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 71 110 121 134 142 220 242 268 284 335 355 484 605 670 710 737 781 1210 1340 1420 1474 1562 2420 2948 3124 3685 3905 4757 7370 7810 8107 8591 9514 14740 15620 16214 17182 19028 23785 32428 34364 40535 42955 47570 52327 81070 85910 95140 104654 162140 171820 209308 261635 523270 575597 1046540 1151194 2302388 2877985 5755970 10686583 11511940 21373166 42746332 53432915 106865830 117552413 213731660 235104826 470209652 587762065 716001061 758747393 1175524130 1293076543 1432002122 1517494786 2351048260 2586153086 2864004244 3034989572 3580005305 3793736965 5172306172 6465382715 7160010610 7587473930 7876011671 8346221323 12930765430 14320021220 15174947860 15752023342 16692442646 25861530860 31504046684 33384885292 39380058355 41731106615 50836075331 78760116710 83462213230 86636128381 91808434553 101672150662 157520233420 166924426460 173272256762 183616869106 203344301324 254180376655 346544513524 367233738212 433180641905 459042172765 508360753310 559196828641 866361283810 918084345530 1016721506620 1118393657282 1732722567620 1836168691060 2236787314564 2795984143205 5591968286410 6151165115051 11183936572820 12302330230102 24604660460204 30755825575255 61511651150510 123023302301020