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1003133112 = 23367623839
BaseRepresentation
bin111011110010101…
…001100010111000
32120220120102221020
4323302221202320
54023300224422
6243312342440
733600330222
oct7362514270
92526512836
101003133112
11475273833
1223bb44a20
1312ca962b7
1497325412
155d0ee95c
hex3bca98b8

1003133112 has 32 divisors (see below), whose sum is σ = 2545267200. Its totient is φ = 329386464.

The previous prime is 1003133107. The next prime is 1003133129. The reversal of 1003133112 is 2113313001.

It is a junction number, because it is equal to n+sod(n) for n = 1003133091 and 1003133100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 310312 + ... + 313527.

It is an arithmetic number, because the mean of its divisors is an integer number (79539600).

Almost surely, 21003133112 is an apocalyptic number.

1003133112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1003133112 is an abundant number, since it is smaller than the sum of its proper divisors (1542134088).

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

1003133112 is a wasteful number, since it uses less digits than its factorization.

1003133112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623915 (or 623911 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1003133112 is about 31672.2767100820. The cubic root of 1003133112 is about 1001.0432818511.

Adding to 1003133112 its reverse (2113313001), we get a palindrome (3116446113).

The spelling of 1003133112 in words is "one billion, three million, one hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 67 134 201 268 402 536 804 1608 623839 1247678 1871517 2495356 3743034 4990712 7486068 14972136 41797213 83594426 125391639 167188852 250783278 334377704 501566556 1003133112