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1012133223 = 321074012621
BaseRepresentation
bin111100010100111…
…110110101100111
32121112111200202200
4330110332311213
54033101230343
6244233305543
734036663503
oct7424766547
92545450680
101012133223
1147a360742
12242b652b3
131318c79ca
14985c9303
155dccb4d3
hex3c53ed67

1012133223 has 24 divisors (see below), whose sum is σ = 1479877776. Its totient is φ = 666528000.

The previous prime is 1012133207. The next prime is 1012133237. The reversal of 1012133223 is 3223312101.

It is not a de Polignac number, because 1012133223 - 24 = 1012133207 is a prime.

It is a super-2 number, since 2×10121332232 = 2048827322200735458, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012133196 and 1012133205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012133293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384853 + ... + 387473.

It is an arithmetic number, because the mean of its divisors is an integer number (61661574).

Almost surely, 21012133223 is an apocalyptic number.

1012133223 is a deficient number, since it is larger than the sum of its proper divisors (467744553).

1012133223 is a wasteful number, since it uses less digits than its factorization.

1012133223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1012133223 is about 31814.0412868281. The cubic root of 1012133223 is about 1004.0281598082.

Adding to 1012133223 its reverse (3223312101), we get a palindrome (4235445324).

The spelling of 1012133223 in words is "one billion, twelve million, one hundred thirty-three thousand, two hundred twenty-three".

Divisors: 1 3 9 107 321 401 963 1203 2621 3609 7863 23589 42907 128721 280447 386163 841341 1051021 2524023 3153063 9459189 112459247 337377741 1012133223