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134002131030333 = 32292801966118973
BaseRepresentation
bin11110011101111111001101…
…011010110101000100111101
3122120110110220220121112202100
4132131333031122311010331
5120030442331020432313
61152555421255215313
740140222504161166
oct3635771532650475
9576413826545670
10134002131030333
1139773a915a1495
1213042616677539
1359a0467a146c7
142513a4854476d
151075a8269a173
hex79dfcd6b513d

134002131030333 has 48 divisors (see below), whose sum is σ = 200335847390640. Its totient is φ = 86209982208000.

The previous prime is 134002131030319. The next prime is 134002131030347. The reversal of 134002131030333 is 333030131200431.

134002131030333 is a `hidden beast` number, since 1 + 3 + 40 + 0 + 2 + 1 + 310 + 303 + 3 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (134002131030319) and next prime (134002131030347).

It can be written as a sum of positive squares in 8 ways, for example, as 24552599783364 + 109449531246969 = 4955058^2 + 10461813^2 .

It is not a de Polignac number, because 134002131030333 - 25 = 134002131030301 is a prime.

It is a super-2 number, since 2×1340021310303332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 134002131030297 and 134002131030306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134002131030353) 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, 7062770835 + ... + 7062789807.

It is an arithmetic number, because the mean of its divisors is an integer number (4173663487305).

Almost surely, 2134002131030333 is an apocalyptic number.

It is an amenable number.

134002131030333 is a deficient number, since it is larger than the sum of its proper divisors (66333716360307).

134002131030333 is a wasteful number, since it uses less digits than its factorization.

134002131030333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31470 (or 31467 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 134002131030333 its reverse (333030131200431), we get a palindrome (467032262230764).

The spelling of 134002131030333 in words is "one hundred thirty-four trillion, two billion, one hundred thirty-one million, thirty thousand, three hundred thirty-three".

Divisors: 1 3 9 29 87 261 2801 8403 9661 18973 25209 28983 56919 81229 86949 170757 243687 280169 550217 731061 840507 1650651 2521521 4951953 27060461 53143373 81181383 159430119 183298153 243544149 478290357 549894459 784753369 1541157817 1649683377 2354260107 4623473451 5315646437 7062780321 13870420353 15946939311 47840817933 513418126553 1540254379659 4620763138977 14889125670037 44667377010111 134002131030333