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10223013231312 = 2437223457413521
BaseRepresentation
bin1001010011000011101100…
…0100100111101011010000
31100012022101100222012212020
42110300323010213223100
52314443212341400222
633424215404331440
72103405540466200
oct224607304475320
940168340865766
1010223013231312
113291612501552
121191356543b80
135920451ba11b
14274b21784400
1512adcd93c65c
hex94c3b127ad0

10223013231312 has 240 divisors, whose sum is σ = 32127126268032. Its totient is φ = 2787746734080.

The previous prime is 10223013231311. The next prime is 10223013231329. The reversal of 10223013231312 is 21313231032201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223013231311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24515112 + ... + 24928632.

Almost surely, 210223013231312 is an apocalyptic number.

10223013231312 is a gapful number since it is divisible by the number (12) 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 10223013231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16063563134016).

10223013231312 is an abundant number, since it is smaller than the sum of its proper divisors (21904113036720).

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

10223013231312 is a wasteful number, since it uses less digits than its factorization.

10223013231312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414026 (or 414013 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 10223013231312 its reverse (21313231032201), we get a palindrome (31536244263513).

The spelling of 10223013231312 in words is "ten trillion, two hundred twenty-three billion, thirteen million, two hundred thirty-one thousand, three hundred twelve".