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10330212312 = 233376832151
BaseRepresentation
bin10011001111011101…
…01000011111011000
3222122221010011021000
421213232220133120
5132124013243222
64425020145000
7513664233030
oct114756503730
928587104230
1010330212312
114421154452
122003698160
13c88235a84
146ddd5c8c0
15406d889ac
hex267ba87d8

10330212312 has 64 divisors (see below), whose sum is σ = 32794329600. Its totient is φ = 2951488800.

The previous prime is 10330212259. The next prime is 10330212317. The reversal of 10330212312 is 21321203301.

10330212312 is a `hidden beast` number, since 1 + 0 + 330 + 21 + 2 + 312 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10330212317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3414564 + ... + 3417587.

It is an arithmetic number, because the mean of its divisors is an integer number (512411400).

Almost surely, 210330212312 is an apocalyptic number.

10330212312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10330212312 is an abundant number, since it is smaller than the sum of its proper divisors (22464117288).

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

10330212312 is a wasteful number, since it uses less digits than its factorization.

10330212312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6832173 (or 6832163 counting only the distinct ones).

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

Adding to 10330212312 its reverse (21321203301), we get a palindrome (31651415613).

The spelling of 10330212312 in words is "ten billion, three hundred thirty million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 6832151 13664302 20496453 27328604 40992906 47825057 54657208 61489359 81985812 95650114 122978718 143475171 163971624 184468077 191300228 245957436 286950342 368936154 382600456 430425513 491914872 573900684 737872308 860851026 1147801368 1291276539 1475744616 1721702052 2582553078 3443404104 5165106156 10330212312