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13136523000 = 2335341106801
BaseRepresentation
bin11000011101111111…
…10110111011111000
31020220111200111210220
430032333312323320
5203400422214000
610011305140040
7643351413606
oct141677667370
936814614726
1013136523000
115631252187
12266748a620
131314762543
148c8946876
1551d41d1a0
hex30eff6ef8

13136523000 has 128 divisors (see below), whose sum is σ = 41986002240. Its totient is φ = 3417600000.

The previous prime is 13136522953. The next prime is 13136523019. The reversal of 13136523000 is 32563131.

It is a happy number.

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

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, 69600 + ... + 176400.

Almost surely, 213136523000 is an apocalyptic number.

13136523000 is a gapful number since it is divisible by the number (10) 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 13136523000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20993001120).

13136523000 is an abundant number, since it is smaller than the sum of its proper divisors (28849479240).

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

13136523000 is a wasteful number, since it uses less digits than its factorization.

13136523000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106866 (or 106852 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The spelling of 13136523000 in words is "thirteen billion, one hundred thirty-six million, five hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 125 150 164 200 205 246 250 300 328 375 410 492 500 600 615 750 820 984 1000 1025 1230 1500 1640 2050 2460 3000 3075 4100 4920 5125 6150 8200 10250 12300 15375 20500 24600 30750 41000 61500 106801 123000 213602 320403 427204 534005 640806 854408 1068010 1281612 1602015 2136020 2563224 2670025 3204030 4272040 4378841 5340050 6408060 8010075 8757682 10680100 12816120 13136523 13350125 16020150 17515364 21360200 21894205 26273046 26700250 32040300 35030728 40050375 43788410 52546092 53400500 64080600 65682615 80100750 87576820 105092184 106801000 109471025 131365230 160201500 175153640 218942050 262730460 320403000 328413075 437884100 525460920 547355125 656826150 875768200 1094710250 1313652300 1642065375 2189420500 2627304600 3284130750 4378841000 6568261500 13136523000