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13132434031122 = 2372283379416459
BaseRepresentation
bin1011111100011010001000…
…0100001100001000010010
31201111110002220111100220010
42333012202010030020102
53210130211102443442
643532542405255350
72523533646320400
oct277064204141022
951443086440803
1013132434031122
11420348571549a
1215811a1704556
137434c9c02643
1433588288c470
1517b911044b9c
hexbf1a210c212

13132434031122 has 96 divisors (see below), whose sum is σ = 30741944428800. Its totient is φ = 3728991585312.

The previous prime is 13132434031051. The next prime is 13132434031147. The reversal of 13132434031122 is 22113043423131.

It is a self number, because there is not a number n which added to its sum of digits gives 13132434031122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31325329 + ... + 31741787.

It is an arithmetic number, because the mean of its divisors is an integer number (320228587800).

Almost surely, 213132434031122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13132434031122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15370972214400).

13132434031122 is an abundant number, since it is smaller than the sum of its proper divisors (17609510397678).

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

13132434031122 is a wasteful number, since it uses less digits than its factorization.

13132434031122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417140 (or 417133 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 13132434031122 its reverse (22113043423131), we get a palindrome (35245477454253).

The spelling of 13132434031122 in words is "thirteen trillion, one hundred thirty-two billion, four hundred thirty-four million, thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 283 294 379 566 758 849 1137 1698 1981 2274 2653 3962 5306 5943 7959 11886 13867 15918 18571 27734 37142 41601 55713 83202 107257 111426 214514 321771 416459 643542 750799 832918 1249377 1501598 2252397 2498754 2915213 4504794 5255593 5830426 8745639 10511186 15766779 17491278 20406491 31533558 40812982 61219473 117857897 122438946 157837961 235715794 315675922 353573691 473513883 707147382 825005279 947027766 1104865727 1650010558 2209731454 2475015837 3314597181 4950031674 5775036953 6629194362 7734060089 11550073906 15468120178 17325110859 23202180267 34650221718 44668142963 46404360534 89336285926 134004428889 268008857778 312677000741 625354001482 938031002223 1876062004446 2188739005187 4377478010374 6566217015561 13132434031122