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135050000280 = 233513711219303
BaseRepresentation
bin111110111000110011…
…0110111011110011000
3110220120212101211200020
41331301212313132120
54203040300002110
6142012514110440
712520444030146
oct1756146673630
9426525354606
10135050000280
1152302228088
122220bb7b420
13c9731bb990
146772064596
1537a6394d70
hex1f719b7798

135050000280 has 128 divisors (see below), whose sum is σ = 442461035520. Its totient is φ = 32774837760.

The previous prime is 135050000263. The next prime is 135050000297. The reversal of 135050000280 is 82000050531.

135050000280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135050000263) and next prime (135050000297).

It is a super-3 number, since 3×1350500002803 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 135050000280.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 498892 + ... + 720411.

It is an arithmetic number, because the mean of its divisors is an integer number (3456726840).

Almost surely, 2135050000280 is an apocalyptic number.

135050000280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135050000280 is an abundant number, since it is smaller than the sum of its proper divisors (307411035240).

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

135050000280 is a wasteful number, since it uses less digits than its factorization.

135050000280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219401 (or 1219397 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 135050000280 in words is "one hundred thirty-five billion, fifty million, two hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 71 78 104 120 130 142 156 195 213 260 284 312 355 390 426 520 568 710 780 852 923 1065 1420 1560 1704 1846 2130 2769 2840 3692 4260 4615 5538 7384 8520 9230 11076 13845 18460 22152 27690 36920 55380 110760 1219303 2438606 3657909 4877212 6096515 7315818 9754424 12193030 14631636 15850939 18289545 24386060 29263272 31701878 36579090 47552817 48772120 63403756 73158180 79254695 86570513 95105634 126807512 146316360 158509390 173141026 190211268 237764085 259711539 317018780 346282052 380422536 432852565 475528170 519423078 634037560 692564104 865705130 951056340 1038846156 1125416669 1298557695 1731410260 1902112680 2077692312 2250833338 2597115390 3376250007 3462820520 4501666676 5194230780 5627083345 6752500014 9003333352 10388461560 11254166690 13505000028 16881250035 22508333380 27010000056 33762500070 45016666760 67525000140 135050000280