Search a number
-
+
2112001320 = 23351113123077
BaseRepresentation
bin111110111100010…
…1001010100101000
312110012002210011010
41331320221110220
513311133020240
6545323303520
7103223500152
oct17570512450
95405083133
102112001320
11994195940
124ab37aba0
13278730630
141606d1ad2
15c5638280
hex7de29528

2112001320 has 128 divisors (see below), whose sum is σ = 7443757440. Its totient is φ = 472611840.

The previous prime is 2112001319. The next prime is 2112001327. The reversal of 2112001320 is 231002112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2112001296 and 2112001305.

It is not an unprimeable number, because it can be changed into a prime (2112001327) 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, 44379 + ... + 78698.

It is an arithmetic number, because the mean of its divisors is an integer number (58154355).

Almost surely, 22112001320 is an apocalyptic number.

2112001320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112001320 is an abundant number, since it is smaller than the sum of its proper divisors (5331756120).

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

2112001320 is a wasteful number, since it uses less digits than its factorization.

2112001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123115 (or 123111 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2112001320 is about 45956.5155337086. The cubic root of 2112001320 is about 1283.0139992928.

Adding to 2112001320 its reverse (231002112), we get a palindrome (2343003432).

The spelling of 2112001320 in words is "two billion, one hundred twelve million, one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 715 780 858 1144 1320 1430 1560 1716 2145 2860 3432 4290 5720 8580 17160 123077 246154 369231 492308 615385 738462 984616 1230770 1353847 1476924 1600001 1846155 2461540 2707694 2953848 3200002 3692310 4061541 4800003 4923080 5415388 6400004 6769235 7384620 8000005 8123082 9600006 10830776 12800008 13538470 14769240 16000010 16246164 17600011 19200012 20307705 24000015 27076940 32000020 32492328 35200022 38400024 40615410 48000030 52800033 54153880 64000040 70400044 81230820 88000055 96000060 105600066 140800088 162461640 176000110 192000120 211200132 264000165 352000220 422400264 528000330 704000440 1056000660 2112001320