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36201113340 = 22357405121277
BaseRepresentation
bin100001101101110000…
…010010011011111100
310110102220210002200120
4201231300102123330
51043114441111330
624344111254540
72421045246330
oct415560223374
9113386702616
1036201113340
1114397648297
12702381a450
13354c017b32
141a75c497c0
15e1d23ac10
hex86dc126fc

36201113340 has 96 divisors (see below), whose sum is σ = 115877604864. Its totient is φ = 8272108800.

The previous prime is 36201113321. The next prime is 36201113341. The reversal of 36201113340 is 4331110263.

It is a happy number.

36201113340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 36201113340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36201113341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1690782 + ... + 1712058.

It is an arithmetic number, because the mean of its divisors is an integer number (1207058384).

Almost surely, 236201113340 is an apocalyptic number.

36201113340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36201113340 is an abundant number, since it is smaller than the sum of its proper divisors (79676491524).

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

36201113340 is a wasteful number, since it uses less digits than its factorization.

36201113340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25347 (or 25345 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 36201113340 in words is "thirty-six billion, two hundred one million, one hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 4051 8102 12153 16204 20255 21277 24306 28357 40510 42554 48612 56714 60765 63831 81020 85071 85108 106385 113428 121530 127662 141785 148939 170142 212770 243060 255324 283570 297878 319155 340284 425355 425540 446817 567140 595756 638310 744695 850710 893634 1276620 1489390 1701420 1787268 2234085 2978780 4468170 8936340 86193127 172386254 258579381 344772508 430965635 517158762 603351889 861931270 1034317524 1206703778 1292896905 1723862540 1810055667 2413407556 2585793810 3016759445 3620111334 5171587620 6033518890 7240222668 9050278335 12067037780 18100556670 36201113340