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13120142021298 = 2331389266378857
BaseRepresentation
bin1011111011101100010101…
…1001111001001010110010
31201110021101020220120101000
42332323011121321022302
53204430022324140143
643523150545022430
72522620231053144
oct276730531711262
951407336816330
1013120142021298
1141a9248147594
12157a931024a16
137422bb409b50
1433503817ac94
1517b441d42bd3
hexbeec56792b2

13120142021298 has 128 divisors (see below), whose sum is σ = 31763750054400. Its totient is φ = 3990058085376.

The previous prime is 13120142021279. The next prime is 13120142021299. The reversal of 13120142021298 is 89212024102131.

It is a happy number.

13120142021298 is a `hidden beast` number, since 1 + 3 + 1 + 201 + 420 + 2 + 1 + 29 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (13120142021299) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166339486 + ... + 166418342.

It is an arithmetic number, because the mean of its divisors is an integer number (248154297300).

Almost surely, 213120142021298 is an apocalyptic number.

13120142021298 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13120142021298, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15881875027200).

13120142021298 is an abundant number, since it is smaller than the sum of its proper divisors (18643608033102).

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

13120142021298 is a wasteful number, since it uses less digits than its factorization.

13120142021298 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81633 (or 81627 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 13120142021298 in words is "thirteen trillion, one hundred twenty billion, one hundred forty-two million, twenty-one thousand, two hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 89 117 178 234 267 351 534 702 801 1157 1602 2314 2403 2663 3471 4806 5326 6942 7989 10413 15978 20826 23967 31239 34619 47934 62478 69238 71901 78857 103857 143802 157714 207714 236571 237007 311571 473142 474014 623142 709713 711021 934713 1025141 1419426 1422042 1869426 2050282 2129139 2133063 3075423 3081091 4258278 4266126 6150846 6162182 6399189 7018273 9226269 9243273 12798378 14036546 18452538 18486546 21054819 27678807 27729819 42109638 55357614 55459638 63164457 83189457 91237549 126328914 166378914 182475098 189493371 209996191 273712647 378986742 419992382 547425294 629988573 821137941 1259977146 1642275882 1889965719 2463413823 2729950483 3779931438 4926827646 5459900966 5669897157 8189851449 11339794314 16379702898 18689660999 24569554347 37379321998 49139108694 56068982997 73708663041 112137965994 147417326082 168206948991 242965592987 336413897982 485931185974 504620846973 728896778961 1009241693946 1457793557922 2186690336883 4373380673766 6560071010649 13120142021298