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10212331010310 = 232511134331832561
BaseRepresentation
bin1001010010011011111001…
…0111001011100100000110
31100011021210220111011110100
42110212332113023210012
52314304323214312220
633415251411304530
72102550040221552
oct224467627134406
940137726434410
1010212331010310
113288030690830
12118b274bab146
13591032076ab0
142743cab94862
1512a9a5c1ed90
hex949be5cb906

10212331010310 has 192 divisors, whose sum is σ = 31266087967296. Its totient is φ = 2279997849600.

The previous prime is 10212331010263. The next prime is 10212331010327. The reversal of 10212331010310 is 1301013321201.

10212331010310 is a `hidden beast` number, since 1 + 0 + 2 + 12 + 331 + 0 + 10 + 310 = 666.

10212331010310 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 2×102123310103102 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4656430 + ... + 6488990.

It is an arithmetic number, because the mean of its divisors is an integer number (162844208163).

Almost surely, 210212331010310 is an apocalyptic number.

10212331010310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212331010310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15633043983648).

10212331010310 is an abundant number, since it is smaller than the sum of its proper divisors (21053756956986).

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

10212331010310 is a wasteful number, since it uses less digits than its factorization.

10212331010310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833031 (or 1833028 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10212331010310 its reverse (1301013321201), we get a palindrome (11513344331511).

The spelling of 10212331010310 in words is "ten trillion, two hundred twelve billion, three hundred thirty-one million, ten thousand, three hundred ten".