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135031241004 = 2231131242313619
BaseRepresentation
bin111110111000001111…
…1010011100100101100
3110220112120002202210020
41331300133103210230
54203020444203004
6142011004042140
712520125416322
oct1756037234454
9426476082706
10135031241004
11522a2684a50
1222205833350
13c96c35120a
14676d77dd12
1537a48db8d9
hex1f707d392c

135031241004 has 96 divisors (see below), whose sum is σ = 354975989760. Its totient is φ = 39579355200.

The previous prime is 135031240997. The next prime is 135031241011. The reversal of 135031241004 is 400142130531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135031240997) and next prime (135031241011).

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, 9908107 + ... + 9921725.

It is an arithmetic number, because the mean of its divisors is an integer number (3697666560).

Almost surely, 2135031241004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135031241004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177487994880).

135031241004 is an abundant number, since it is smaller than the sum of its proper divisors (219944748756).

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

135031241004 is a wasteful number, since it uses less digits than its factorization.

135031241004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16091 (or 16089 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 135031241004 its reverse (400142130531), we get a palindrome (535173371535).

The spelling of 135031241004 in words is "one hundred thirty-five billion, thirty-one million, two hundred forty-one thousand, four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 2423 4092 4846 7269 9692 13619 14538 26653 27238 29076 40857 53306 54476 75113 79959 81714 106612 149809 150226 159918 163428 225339 299618 300452 319836 422189 449427 450678 599236 826243 844378 898854 901356 1266567 1652486 1688756 1797708 2478729 2533134 3304972 4644079 4957458 5066268 9288158 9914916 13932237 18576316 27864474 32998837 55728948 65997674 98996511 131995348 197993022 362987207 395986044 725974414 1022963947 1088961621 1451948828 2045927894 2177923242 3068891841 4091855788 4355846484 6137783682 11252603417 12275567364 22505206834 33757810251 45010413668 67515620502 135031241004