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13111918320 = 2435223409599
BaseRepresentation
bin11000011011000011…
…11111111011110000
31020211210101110112110
430031201333323300
5203323122341240
610005025525320
7642632316054
oct141541777360
936753343473
1013111918320
115619377336
12265b1a3840
13130c629267
148c557dc64
1551b1acc80
hex30d87fef0

13111918320 has 160 divisors (see below), whose sum is σ = 40997376000. Its totient is φ = 3466524672.

The previous prime is 13111918283. The next prime is 13111918331. The reversal of 13111918320 is 2381911131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21889381 + ... + 21889979.

It is an arithmetic number, because the mean of its divisors is an integer number (256233600).

Almost surely, 213111918320 is an apocalyptic number.

13111918320 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 13111918320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20498688000).

13111918320 is an abundant number, since it is smaller than the sum of its proper divisors (27885457680).

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

13111918320 is a wasteful number, since it uses less digits than its factorization.

13111918320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The spelling of 13111918320 in words is "thirteen billion, one hundred eleven million, nine hundred eighteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 223 240 409 446 599 669 818 892 1115 1198 1227 1338 1636 1784 1797 2045 2230 2396 2454 2676 2995 3272 3345 3568 3594 4090 4460 4792 4908 5352 5990 6135 6544 6690 7188 8180 8920 8985 9584 9816 10704 11980 12270 13380 14376 16360 17840 17970 19632 23960 24540 26760 28752 32720 35940 47920 49080 53520 71880 91207 98160 133577 143760 182414 244991 267154 273621 364828 400731 456035 489982 534308 547242 667885 729656 734973 801462 912070 979964 1068616 1094484 1224955 1335770 1368105 1459312 1469946 1602924 1824140 1959928 2003655 2137232 2188968 2449910 2671540 2736210 2939892 3205848 3648280 3674865 3919856 4007310 4377936 4899820 5343080 5472420 5879784 6411696 7296560 7349730 8014620 9799640 10686160 10944840 11759568 14699460 16029240 19599280 21889680 29398920 32058480 54632993 58797840 109265986 163898979 218531972 273164965 327797958 437063944 546329930 655595916 819494895 874127888 1092659860 1311191832 1638989790 2185319720 2622383664 3277979580 4370639440 6555959160 13111918320