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1002112032 = 25367155801
BaseRepresentation
bin111011101110110…
…000010000100000
32120211122120021110
4323232300100200
54023020041112
6243234423320
733555545265
oct7356602040
92524576243
101002112032
11474736669
1223b731b40
1312c7c95cc
149713b26c
155ce9c13c
hex3bbb0420

1002112032 has 48 divisors (see below), whose sum is σ = 2669823072. Its totient is φ = 329049600.

The previous prime is 1002112019. The next prime is 1002112043. The reversal of 1002112032 is 2302112001.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1002111999 and 1002112017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71469 + ... + 84332.

It is an arithmetic number, because the mean of its divisors is an integer number (55621314).

Almost surely, 21002112032 is an apocalyptic number.

1002112032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002112032 is an abundant number, since it is smaller than the sum of its proper divisors (1667711040).

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

1002112032 is a wasteful number, since it uses less digits than its factorization.

1002112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155881 (or 155873 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1002112032 is about 31656.1531459525. The cubic root of 1002112032 is about 1000.7035156164.

Adding to 1002112032 its reverse (2302112001), we get a palindrome (3304224033).

The spelling of 1002112032 in words is "one billion, two million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2144 3216 6432 155801 311602 467403 623204 934806 1246408 1869612 2492816 3739224 4985632 7478448 10438667 14956896 20877334 31316001 41754668 62632002 83509336 125264004 167018672 250528008 334037344 501056016 1002112032