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10123356112 = 241797383693
BaseRepresentation
bin10010110110110011…
…00010011111010000
3222010111212202220021
421123121202133100
5131213034343422
64352310353224
7505603051522
oct113331423720
928114782807
1010123356112
114325409311
121b6635b814
13c5441ab5c
146c06b3a12
153e3b27dc7
hex25b6627d0

10123356112 has 40 divisors (see below), whose sum is σ = 20981922696. Its totient is φ = 4714807296.

The previous prime is 10123356097. The next prime is 10123356127. The reversal of 10123356112 is 21165332101.

It is a happy number.

10123356112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10123356097) and next prime (10123356127).

It can be written as a sum of positive squares in 4 ways, for example, as 1456490896 + 8666865216 = 38164^2 + 93096^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165463 + ... + 218230.

Almost surely, 210123356112 is an apocalyptic number.

It is an amenable number.

10123356112 is an abundant number, since it is smaller than the sum of its proper divisors (10858566584).

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

10123356112 is a wasteful number, since it uses less digits than its factorization.

10123356112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383815 (or 383809 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 10123356112 its reverse (21165332101), we get a palindrome (31288688213).

The spelling of 10123356112 in words is "ten billion, one hundred twenty-three million, three hundred fifty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 97 136 194 272 388 776 1552 1649 3298 6596 13192 26384 383693 767386 1534772 3069544 6139088 6522781 13045562 26091124 37218221 52182248 74436442 104364496 148872884 297745768 595491536 632709757 1265419514 2530839028 5061678056 10123356112