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123301797913890 = 2355331315315871
BaseRepresentation
bin11100000010010001101111…
…110111010110010100100010
3121011120112111022001211100000
4130002101233313112110202
5112130134040231221030
61114124021453040430
734654155332322231
oct3402215767262442
9534515438054300
10123301797913890
1136318aa94a6532
12119b486a786116
1353a54043c7b3b
142263ba5b9ab18
15e3c5692ed860
hex70246fdd6522

123301797913890 has 96 divisors (see below), whose sum is σ = 332558552342016. Its totient is φ = 32870552613120.

The previous prime is 123301797913843. The next prime is 123301797913909. The reversal of 123301797913890 is 98319797103321.

123301797913890 is a `hidden beast` number, since 1 + 2 + 330 + 17 + 9 + 79 + 138 + 90 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 392655 + ... + 15708525.

It is an arithmetic number, because the mean of its divisors is an integer number (3464151586896).

Almost surely, 2123301797913890 is an apocalyptic number.

123301797913890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123301797913890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166279276171008).

123301797913890 is an abundant number, since it is smaller than the sum of its proper divisors (209256754428126).

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

123301797913890 is a wasteful number, since it uses less digits than its factorization.

123301797913890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15319206 (or 15319194 counting only the distinct ones).

The product of its (nonzero) digits is 15431472, while the sum is 63.

The spelling of 123301797913890 in words is "one hundred twenty-three trillion, three hundred one billion, seven hundred ninety-seven million, nine hundred thirteen thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 3313 6626 9939 16565 19878 29817 33130 49695 59634 89451 99390 149085 178902 268353 298170 447255 536706 805059 894510 1341765 1610118 2683530 4025295 8050590 15315871 30631742 45947613 76579355 91895226 137842839 153158710 229738065 275685678 413528517 459476130 689214195 827057034 1240585551 1378428390 2067642585 2481171102 3721756653 4135285170 6202927755 7443513306 12405855510 18608783265 37217566530 50741480623 101482961246 152224441869 253707403115 304448883738 456673325607 507414806230 761122209345 913346651214 1370019976821 1522244418690 2283366628035 2740039953642 4110059930463 4566733256070 6850099884105 8220119860926 12330179791389 13700199768210 20550299652315 24660359582778 41100599304630 61650898956945 123301797913890