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13421401034130 = 2335372549527063
BaseRepresentation
bin1100001101001110100111…
…0101110100110110010010
31202112001222111220002001000
43003103221311310312102
53224344012131043010
644313412335122430
72553443554320045
oct303235165646622
952461874802030
1013421401034130
114304a90a96861
1216091a8073416
1376482c02275b
143458565b0c5c
151841c4ce77c0
hexc34e9d74d92

13421401034130 has 128 divisors (see below), whose sum is σ = 36772201152000. Its totient is φ = 3480936705792.

The previous prime is 13421401034117. The next prime is 13421401034137. The reversal of 13421401034130 is 3143010412431.

13421401034130 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 140 + 103 + 413 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13421401034094 and 13421401034103.

It is not an unprimeable number, because it can be changed into a prime (13421401034137) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 25200979 + ... + 25728041.

It is an arithmetic number, because the mean of its divisors is an integer number (287282821500).

Almost surely, 213421401034130 is an apocalyptic number.

13421401034130 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 13421401034130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18386100576000).

13421401034130 is an abundant number, since it is smaller than the sum of its proper divisors (23350800117870).

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

13421401034130 is a wasteful number, since it uses less digits than its factorization.

13421401034130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529665 (or 529659 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13421401034130 its reverse (3143010412431), we get a palindrome (16564411446561).

The spelling of 13421401034130 in words is "thirteen trillion, four hundred twenty-one billion, four hundred one million, thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 333 370 555 666 999 1110 1665 1998 2549 3330 4995 5098 7647 9990 12745 15294 22941 25490 38235 45882 68823 76470 94313 114705 137646 188626 229410 282939 344115 471565 527063 565878 688230 848817 943130 1054126 1414695 1581189 1697634 2546451 2635315 2829390 3162378 4244085 4743567 5092902 5270630 7905945 8488170 9487134 12732255 14230701 15811890 19501331 23717835 25464510 28461402 39002662 47435670 58503993 71153505 97506655 117007986 142307010 175511979 195013310 292519965 351023958 526535937 585039930 877559895 1053071874 1343483587 1755119790 2632679685 2686967174 4030450761 5265359370 6717417935 8060901522 12091352283 13434835870 20152253805 24182704566 36274056849 40304507610 49708892719 60456761415 72548113698 99417785438 120913522830 149126678157 181370284245 248544463595 298253356314 362740568490 447380034471 497088927190 745633390785 894760068942 1342140103413 1491266781570 2236900172355 2684280206826 4473800344710 6710700517065 13421401034130