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13112022240 = 2532554116831
BaseRepresentation
bin11000011011000100…
…11001010011100000
31020211210120202002100
430031202121103200
5203323134202430
610005032050400
7642633231042
oct141542312340
936753522070
1013112022240
115619438419
12265b233a00
13130c664655
148c55a9a92
1551b1cd960
hex30d8994e0

13112022240 has 144 divisors (see below), whose sum is σ = 44830146816. Its totient is φ = 3489868800.

The previous prime is 13112022211. The next prime is 13112022251. The reversal of 13112022240 is 4222021131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 770625 + ... + 787455.

It is an arithmetic number, because the mean of its divisors is an integer number (311320464).

Almost surely, 213112022240 is an apocalyptic number.

13112022240 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 13112022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22415073408).

13112022240 is an abundant number, since it is smaller than the sum of its proper divisors (31718124576).

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

13112022240 is a wasteful number, since it uses less digits than its factorization.

13112022240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17393 (or 17382 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13112022240 its reverse (4222021131), we get a palindrome (17334043371).

The spelling of 13112022240 in words is "thirteen billion, one hundred twelve million, twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 541 720 1082 1440 1623 2164 2705 3246 4328 4869 5410 6492 8115 8656 9738 10820 12984 16230 16831 17312 19476 21640 24345 25968 32460 33662 38952 43280 48690 50493 51936 64920 67324 77904 84155 86560 97380 100986 129840 134648 151479 155808 168310 194760 201972 252465 259680 269296 302958 336620 389520 403944 504930 538592 605916 673240 757395 779040 807888 1009860 1211832 1346480 1514790 1615776 2019720 2423664 2692960 3029580 4039440 4847328 6059160 8078880 9105571 12118320 18211142 24236640 27316713 36422284 45527855 54633426 72844568 81950139 91055710 109266852 136583565 145689136 163900278 182111420 218533704 273167130 291378272 327800556 364222840 409750695 437067408 546334260 655601112 728445680 819501390 874134816 1092668520 1311202224 1456891360 1639002780 2185337040 2622404448 3278005560 4370674080 6556011120 13112022240