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13132312300 = 22522341472963
BaseRepresentation
bin11000011101011111…
…10010111011101100
31020220012202120211001
430032233302323230
5203343332443200
610011035010044
7643300545532
oct141657627354
936805676731
1013132312300
115629936668
122665b99924
131313919ac3
148c816c152
1551cd8a76a
hex30ebf2eec

13132312300 has 144 divisors (see below), whose sum is σ = 31120008192. Its totient is φ = 4796070400.

The previous prime is 13132312243. The next prime is 13132312301. The reversal of 13132312300 is 321323131.

It is not an unprimeable number, because it can be changed into a prime (13132312301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4430619 + ... + 4433581.

It is an arithmetic number, because the mean of its divisors is an integer number (216111168).

Almost surely, 213132312300 is an apocalyptic number.

13132312300 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 13132312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15560004096).

13132312300 is an abundant number, since it is smaller than the sum of its proper divisors (17987695892).

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

13132312300 is a wasteful number, since it uses less digits than its factorization.

13132312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13132312300 its reverse (321323131), we get a palindrome (13453635431).

The spelling of 13132312300 in words is "thirteen billion, one hundred thirty-two million, three hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 41 46 47 50 82 92 94 100 115 164 188 205 230 235 410 460 470 575 820 940 943 1025 1081 1150 1175 1886 1927 2050 2162 2300 2350 2963 3772 3854 4100 4324 4700 4715 5405 5926 7708 9430 9635 10810 11852 14815 18860 19270 21620 23575 27025 29630 38540 44321 47150 48175 54050 59260 68149 74075 88642 94300 96350 108100 121483 136298 139261 148150 177284 192700 221605 242966 272596 278522 296300 340745 443210 485932 557044 607415 681490 696305 886420 1108025 1214830 1362980 1392610 1703725 2216050 2429660 2785220 2794109 3037075 3203003 3407450 3481525 4432100 5588218 5709701 6074150 6406006 6814900 6963050 11176436 11419402 12148300 12812012 13926100 13970545 16015015 22838804 27941090 28548505 32030030 55882180 57097010 64060060 69852725 80075075 114194020 131323123 139705450 142742525 160150150 262646246 279410900 285485050 320300300 525292492 570970100 656615615 1313231230 2626462460 3283078075 6566156150 13132312300