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134012015412030 = 23257448347449807
BaseRepresentation
bin11110011110001000011010…
…100100110000001100111110
3122120111102102202211011101100
4132132020122210300030332
5120031123101421141110
61153004134151553530
740141022446061430
oct3636103244601476
9576442382734340
10134012015412030
11397781a4017788
121304451498b8a6
1359a1381780482
1425143051ac650
151075e6031abc0
hex79e21a93033e

134012015412030 has 96 divisors (see below), whose sum is σ = 398295965942784. Its totient is φ = 30624484390848.

The previous prime is 134012015412029. The next prime is 134012015412031. The reversal of 134012015412030 is 30214510210431.

134012015412030 is a `hidden beast` number, since 1 + 3 + 40 + 1 + 201 + 5 + 412 + 0 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (134012015412029) and next prime (134012015412031).

It is a junction number, because it is equal to n+sod(n) for n = 134012015411985 and 134012015412003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134012015412031) 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 47 ways as a sum of consecutive naturals, for example, 20900614 + ... + 26549193.

It is an arithmetic number, because the mean of its divisors is an integer number (4148916311904).

Almost surely, 2134012015412030 is an apocalyptic number.

134012015412030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134012015412030 is an abundant number, since it is smaller than the sum of its proper divisors (264283950530754).

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

134012015412030 is a wasteful number, since it uses less digits than its factorization.

134012015412030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47454310 (or 47454307 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 134012015412030 its reverse (30214510210431), we get a palindrome (164226525622461).

The spelling of 134012015412030 in words is "one hundred thirty-four trillion, twelve billion, fifteen million, four hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 4483 8966 13449 22415 26898 31381 40347 44830 62762 67245 80694 94143 134490 156905 188286 201735 282429 313810 403470 470715 564858 941430 1412145 2824290 47449807 94899614 142349421 237249035 284698842 332148649 427048263 474498070 664297298 711747105 854096526 996445947 1423494210 1660743245 1992891894 2135241315 2989337841 3321486490 4270482630 4982229735 5978675682 9964459470 14946689205 29893378410 212717484781 425434969562 638152454343 1063587423905 1276304908686 1489022393467 1914457363029 2127174847810 2978044786934 3190762271715 3828914726058 4467067180401 6381524543430 7445111967335 8934134360802 9572286815145 13401201541203 14890223934670 19144573630290 22335335902005 26802403082406 44670671804010 67006007706015 134012015412030