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1013203233 = 327212011913
BaseRepresentation
bin111100011001000…
…100000100100001
32121121112001112200
4330121010010201
54033340000413
6244312243413
734052041200
oct7431040441
92547461480
101013203233
1147aa21649
122433a0569
13131bb0a53
14987c7237
155de3d573
hex3c644121

1013203233 has 36 divisors (see below), whose sum is σ = 1704765348. Its totient is φ = 578188800.

The previous prime is 1013203231. The next prime is 1013203237. The reversal of 1013203233 is 3323023101.

It can be written as a sum of positive squares in 2 ways, for example, as 343842849 + 669360384 = 18543^2 + 25872^2 .

It is not a de Polignac number, because 1013203233 - 21 = 1013203231 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1013203231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 528685 + ... + 530597.

It is an arithmetic number, because the mean of its divisors is an integer number (47354593).

Almost surely, 21013203233 is an apocalyptic number.

It is an amenable number.

1013203233 is a deficient number, since it is larger than the sum of its proper divisors (691562115).

1013203233 is a wasteful number, since it uses less digits than its factorization.

1013203233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1013203233 is about 31830.8534758338. The cubic root of 1013203233 is about 1004.3818490211.

Adding to 1013203233 its reverse (3323023101), we get a palindrome (4336226334).

The spelling of 1013203233 in words is "one billion, thirteen million, two hundred three thousand, two hundred thirty-three".

Divisors: 1 3 7 9 21 49 63 147 441 1201 1913 3603 5739 8407 10809 13391 17217 25221 40173 58849 75663 93737 120519 176547 281211 529641 843633 2297513 6892539 16082591 20677617 48247773 112578137 144743319 337734411 1013203233