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13113245340 = 223251347119233
BaseRepresentation
bin11000011011001110…
…00011111010011100
31020211212212212212100
430031213003322130
5203323442322330
610005114205100
7642646513656
oct141547037234
936755785770
1013113245340
11561a0a3348
12265b723790
13130c9a2290
148c58076d6
1551b371060
hex30d9c3e9c

13113245340 has 144 divisors (see below), whose sum is σ = 43748385408. Its totient is φ = 3159171072.

The previous prime is 13113245329. The next prime is 13113245351. The reversal of 13113245340 is 4354231131.

It is a happy number.

13113245340 is a `hidden beast` number, since 1 + 311 + 3 + 2 + 4 + 5 + 340 = 666.

It is an interprime number because it is at equal distance from previous prime (13113245329) and next prime (13113245351).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50364 + ... + 169596.

It is an arithmetic number, because the mean of its divisors is an integer number (303808232).

Almost surely, 213113245340 is an apocalyptic number.

13113245340 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 13113245340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21874192704).

13113245340 is an abundant number, since it is smaller than the sum of its proper divisors (30635140068).

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

13113245340 is a wasteful number, since it uses less digits than its factorization.

13113245340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119308 (or 119303 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 13113245340 its reverse (4354231131), we get a palindrome (17467476471).

The spelling of 13113245340 in words is "thirteen billion, one hundred thirteen million, two hundred forty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 47 52 60 65 78 90 94 117 130 141 156 180 188 195 234 235 260 282 390 423 468 470 564 585 611 705 780 846 940 1170 1222 1410 1692 1833 2115 2340 2444 2820 3055 3666 4230 5499 6110 7332 8460 9165 10998 12220 18330 21996 27495 36660 54990 109980 119233 238466 357699 476932 596165 715398 1073097 1192330 1430796 1550029 1788495 2146194 2384660 3100058 3576990 4292388 4650087 5365485 5603951 6200116 7153980 7750145 9300174 10730970 11207902 13950261 15500290 16811853 18600348 21461940 22415804 23250435 27900522 28019755 31000580 33623706 46500870 50435559 55801044 56039510 67247412 69751305 72851363 84059265 93001740 100871118 112079020 139502610 145702726 168118530 201742236 218554089 252177795 279005220 291405452 336237060 364256815 437108178 504355590 655662267 728513630 874216356 1008711180 1092770445 1311324534 1457027260 2185540890 2622649068 3278311335 4371081780 6556622670 13113245340