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2112660312 = 2337171938933
BaseRepresentation
bin111110111101100…
…1010001101011000
312110020100021010020
41331323022031120
513311320112222
6545345350440
7103232213340
oct17573121530
95406307106
102112660312
119945a5a64
124ab638420
13278901579
14160823d20
15c571865c
hex7deca358

2112660312 has 128 divisors (see below), whose sum is σ = 6727795200. Its totient is φ = 538195968.

The previous prime is 2112660301. The next prime is 2112660313. The reversal of 2112660312 is 2130662112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112660313) 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, 34798 + ... + 73730.

It is an arithmetic number, because the mean of its divisors is an integer number (52560900).

Almost surely, 22112660312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112660312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3363897600).

2112660312 is an abundant number, since it is smaller than the sum of its proper divisors (4615134888).

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

2112660312 is a wasteful number, since it uses less digits than its factorization.

2112660312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38985 (or 38981 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2112660312 is about 45963.6847086915. The cubic root of 2112660312 is about 1283.1474285085.

The spelling of 2112660312 in words is "two billion, one hundred twelve million, six hundred sixty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 17 19 21 24 28 34 38 42 51 56 57 68 76 84 102 114 119 133 136 152 168 204 228 238 266 323 357 399 408 456 476 532 646 714 798 952 969 1064 1292 1428 1596 1938 2261 2584 2856 3192 3876 4522 6783 7752 9044 13566 18088 27132 38933 54264 77866 116799 155732 233598 272531 311464 467196 545062 661861 739727 817593 934392 1090124 1323722 1479454 1635186 1985583 2180248 2219181 2647444 2958908 3270372 3971166 4438362 4633027 5178089 5294888 5917816 6540744 7942332 8876724 9266054 10356178 12575359 13899081 15534267 15884664 17753448 18532108 20712356 25150718 27798162 31068534 37064216 37726077 41424712 50301436 55596324 62137068 75452154 88027513 100602872 111192648 124274136 150904308 176055026 264082539 301808616 352110052 528165078 704220104 1056330156 2112660312