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312332132211030 = 232567183128288571
BaseRepresentation
bin100011100000100000111110…
…1110010101101100101010110
31111221212122211022101011102200
41013001001331302231211112
5311414222201321223110
63024135222320145330
7122534152253635461
oct10701017562554526
91457778738334380
10312332132211030
119057834a173328
122b044087168246
1310537a41973709
14571ad54c342d8
15261971ed436c0
hex11c107dcad956

312332132211030 has 96 divisors (see below), whose sum is σ = 824634052040448. Its totient is φ = 82000643630400.

The previous prime is 312332132210929. The next prime is 312332132211067. The reversal of 312332132211030 is 30112231233213.

312332132211030 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 321 + 322 + 1 + 10 + 3 + 0 = 666.

It is a super-2 number, since 2×3123321322110302 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312332132210985 and 312332132211003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3103356 + ... + 25185215.

It is an arithmetic number, because the mean of its divisors is an integer number (8589938042088).

Almost surely, 2312332132211030 is an apocalyptic number.

312332132211030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312332132211030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412317026020224).

312332132211030 is an abundant number, since it is smaller than the sum of its proper divisors (512301919829418).

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

312332132211030 is a wasteful number, since it uses less digits than its factorization.

312332132211030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28290482 (or 28290479 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 312332132211030 its reverse (30112231233213), we get a palindrome (342444363444243).

The spelling of 312332132211030 in words is "three hundred twelve trillion, three hundred thirty-two billion, one hundred thirty-two million, two hundred eleven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 670 1005 1206 1831 2010 3015 3662 5493 6030 9155 10986 16479 18310 27465 32958 54930 82395 122677 164790 245354 368031 613385 736062 1104093 1226770 1840155 2208186 3680310 5520465 11040930 28288571 56577142 84865713 141442855 169731426 254597139 282885710 424328565 509194278 848657130 1272985695 1895334257 2545971390 3790668514 5686002771 9476671285 11372005542 17058008313 18953342570 28430013855 34116016626 51796373501 56860027710 85290041565 103592747002 155389120503 170580083130 258981867505 310778241006 466167361509 517963735010 776945602515 932334723018 1553891205030 2330836807545 3470357024567 4661673615090 6940714049134 10411071073701 17351785122835 20822142147402 31233213221103 34703570245670 52055355368505 62466426442206 104110710737010 156166066105515 312332132211030