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134010010014132 = 22376729098185391
BaseRepresentation
bin11110011110000110100011…
…000010110001000110110100
3122120111020021000022101122010
4132132012203002301012310
5120031110000030423012
61153003203153204220
740140621655345350
oct3636064302610664
9576436230271563
10134010010014132
113977736502364a
1213044055260670
1359a11221661b5
142514194b0a460
151075d9423dc3c
hex79e1a30b11b4

134010010014132 has 96 divisors (see below), whose sum is σ = 362818482647040. Its totient is φ = 37704132766080.

The previous prime is 134010010014109. The next prime is 134010010014187. The reversal of 134010010014132 is 231410010010431.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 134010010014099 and 134010010014108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12279157 + ... + 20464547.

It is an arithmetic number, because the mean of its divisors is an integer number (3779359194240).

Almost surely, 2134010010014132 is an apocalyptic number.

134010010014132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134010010014132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181409241323520).

134010010014132 is an abundant number, since it is smaller than the sum of its proper divisors (228808472632908).

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

134010010014132 is a wasteful number, since it uses less digits than its factorization.

134010010014132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8188381 (or 8188379 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 134010010014132 its reverse (231410010010431), we get a palindrome (365420020024563).

The spelling of 134010010014132 in words is "one hundred thirty-four trillion, ten billion, ten million, fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 402 469 804 938 1407 1876 2814 2909 5628 5818 8727 11636 17454 20363 34908 40726 61089 81452 122178 194903 244356 389806 584709 779612 1169418 1364321 2338836 2728642 4092963 5457284 8185391 8185926 16370782 16371852 24556173 32741564 49112346 57297737 98224692 114595474 171893211 229190948 343786422 548421197 687572844 1096842394 1645263591 2193684788 3290527182 3838948379 6581054364 7677896758 11516845137 15355793516 23033690274 23811302419 46067380548 47622604838 71433907257 95245209676 142867814514 166679116933 285735629028 333358233866 500037350799 666716467732 1000074701598 1595357262073 2000149403196 3190714524146 4786071786219 6381429048292 9572143572438 11167500834511 19144287144876 22335001669022 33502502503533 44670003338044 67005005007066 134010010014132