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1020123432 = 2332101140281
BaseRepresentation
bin111100110011011…
…101100100101000
32122002112122021100
4330303131210220
54042122422212
6245120441400
734164622536
oct7463354450
92562478240
101020123432
11483918919
12245779260
13133464843
14996a9156
155e858bdc
hex3ccdd928

1020123432 has 48 divisors (see below), whose sum is σ = 2790208980. Its totient is φ = 336672000.

The previous prime is 1020123431. The next prime is 1020123457. The reversal of 1020123432 is 2343210201.

1020123432 is a `hidden beast` number, since 10 + 201 + 23 + 432 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 819447876 + 200675556 = 28626^2 + 14166^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1020123431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62869 + ... + 77412.

Almost surely, 21020123432 is an apocalyptic number.

1020123432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020123432 is an abundant number, since it is smaller than the sum of its proper divisors (1770085548).

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

1020123432 is a wasteful number, since it uses less digits than its factorization.

1020123432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140394 (or 140387 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1020123432 is about 31939.3711898027. The cubic root of 1020123432 is about 1006.6633123192.

Adding to 1020123432 its reverse (2343210201), we get a palindrome (3363333633).

It can be divided in two parts, 10201 and 23432, that added together give a palindrome (33633).

The spelling of 1020123432 in words is "one billion, twenty million, one hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 7272 140281 280562 420843 561124 841686 1122248 1262529 1683372 2525058 3366744 5050116 10100232 14168381 28336762 42505143 56673524 85010286 113347048 127515429 170020572 255030858 340041144 510061716 1020123432