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2132310312 = 2333112339019
BaseRepresentation
bin111111100011000…
…0111100100101000
312111121022120212000
41333012013210220
513331332412222
6551330451000
7103561224066
oct17706074450
95447276760
102132310312
119a46a7330
124b6133a60
1327c9c15a2
1416329b036
15c72ea9ac
hex7f187928

2132310312 has 128 divisors (see below), whose sum is σ = 6742656000. Its totient is φ = 618045120.

The previous prime is 2132310311. The next prime is 2132310317. The reversal of 2132310312 is 2130132312.

2132310312 is a `hidden beast` number, since 21 + 323 + 10 + 312 = 666.

2132310312 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2132310311) 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, 35139 + ... + 74157.

It is an arithmetic number, because the mean of its divisors is an integer number (52677000).

Almost surely, 22132310312 is an apocalyptic number.

2132310312 is a gapful number since it is divisible by the number (22) 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 2132310312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371328000).

2132310312 is an abundant number, since it is smaller than the sum of its proper divisors (4610345688).

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

2132310312 is a wasteful number, since it uses less digits than its factorization.

2132310312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39068 (or 39058 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2132310312 is about 46176.9456763870. The cubic root of 2132310312 is about 1287.1133723568.

Adding to 2132310312 its reverse (2130132312), we get a palindrome (4262442624).

The spelling of 2132310312 in words is "two billion, one hundred thirty-two million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 27 33 36 44 46 54 66 69 72 88 92 99 108 132 138 184 198 207 216 253 264 276 297 396 414 506 552 594 621 759 792 828 1012 1188 1242 1518 1656 2024 2277 2376 2484 3036 4554 4968 6072 6831 9108 13662 18216 27324 39019 54648 78038 117057 156076 234114 312152 351171 429209 468228 702342 858418 897437 936456 1053513 1287627 1404684 1716836 1794874 2107026 2575254 2692311 2809368 3433672 3589748 3862881 4214052 5150508 5384622 7179496 7725762 8076933 8428104 9871807 10301016 10769244 11588643 15451524 16153866 19743614 21538488 23177286 24230799 29615421 30903048 32307732 39487228 46354572 48461598 59230842 64615464 78974456 88846263 92709144 96923196 118461684 177692526 193846392 236923368 266538789 355385052 533077578 710770104 1066155156 2132310312