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10121320032 = 253107985331
BaseRepresentation
bin10010110110100011…
…10001011001100000
3222010101001022220220
421123101301121200
5131212024220112
64352155003040
7505546541445
oct113321613140
928111038826
1010121320032
1143242485aa
121b65739480
13c53b87185
146c03039cc
153e387498c
hex25b471660

10121320032 has 48 divisors (see below), whose sum is σ = 26816795712. Its totient is φ = 3342239360.

The previous prime is 10121320031. The next prime is 10121320043. The reversal of 10121320032 is 23002312101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×101213200322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10121319993 and 10121320020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121320031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 482394 + ... + 502937.

It is an arithmetic number, because the mean of its divisors is an integer number (558683244).

Almost surely, 210121320032 is an apocalyptic number.

10121320032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10121320032 is an abundant number, since it is smaller than the sum of its proper divisors (16695475680).

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

10121320032 is a wasteful number, since it uses less digits than its factorization.

10121320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985451 (or 985443 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10121320032 its reverse (23002312101), we get a palindrome (33123632133).

The spelling of 10121320032 in words is "ten billion, one hundred twenty-one million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1712 2568 3424 5136 10272 985331 1970662 2955993 3941324 5911986 7882648 11823972 15765296 23647944 31530592 47295888 94591776 105430417 210860834 316291251 421721668 632582502 843443336 1265165004 1686886672 2530330008 3373773344 5060660016 10121320032