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3212130312 = 2332715991049
BaseRepresentation
bin1011111101110101…
…0011100000001000
322021212012010102100
42333131103200020
523034301132222
61250423033400
7142412441256
oct27735234010
98255163370
103212130312
1113a9189056
1275789b860
133c2627c31
142268655d6
1513bee74ac
hexbf753808

3212130312 has 96 divisors (see below), whose sum is σ = 8845200000. Its totient is φ = 1052862720.

The previous prime is 3212130287. The next prime is 3212130373. The reversal of 3212130312 is 2130312123.

3212130312 is a `hidden beast` number, since 321 + 2 + 1 + 30 + 312 = 666.

3212130312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×32121303122 = 20635562282538434688, which contains 22 as substring.

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

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, 3061564 + ... + 3062612.

It is an arithmetic number, because the mean of its divisors is an integer number (92137500).

Almost surely, 23212130312 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 3212130312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422600000).

3212130312 is an abundant number, since it is smaller than the sum of its proper divisors (5633069688).

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

3212130312 is a wasteful number, since it uses less digits than its factorization.

3212130312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1724 counting only the distinct ones).

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

The square root of 3212130312 is about 56675.6589022130. The cubic root of 3212130312 is about 1475.4722704120.

Adding to 3212130312 its reverse (2130312123), we get a palindrome (5342442435).

The spelling of 3212130312 in words is "three billion, two hundred twelve million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 599 639 852 1049 1198 1278 1704 1797 2098 2396 2556 3147 3594 4196 4792 5112 5391 6294 7188 8392 9441 10782 12588 14376 18882 21564 25176 37764 42529 43128 74479 75528 85058 127587 148958 170116 223437 255174 297916 340232 382761 446874 510348 595832 628351 670311 765522 893748 1020696 1256702 1340622 1531044 1787496 1885053 2513404 2681244 3062088 3770106 5026808 5362488 5655159 7540212 11310318 15080424 22620636 44612921 45241272 89225842 133838763 178451684 267677526 356903368 401516289 535355052 803032578 1070710104 1606065156 3212130312