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1012133322 = 2323110117959
BaseRepresentation
bin111100010100111…
…110110111001010
32121112111200220100
4330110332313022
54033101231242
6244233310230
734036664004
oct7424766712
92545450810
101012133322
1147a360822
12242b65376
131318c7a75
14985c9374
155dccb54c
hex3c53edca

1012133322 has 48 divisors (see below), whose sum is σ = 2286236160. Its totient is φ = 323244000.

The previous prime is 1012133293. The next prime is 1012133323. The reversal of 1012133322 is 2233312101.

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

It is a junction number, because it is equal to n+sod(n) for n = 1012133295 and 1012133304.

It is not an unprimeable number, because it can be changed into a prime (1012133323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47379 + ... + 65337.

It is an arithmetic number, because the mean of its divisors is an integer number (47629920).

Almost surely, 21012133322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012133322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143118080).

1012133322 is an abundant number, since it is smaller than the sum of its proper divisors (1274102838).

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

1012133322 is a wasteful number, since it uses less digits than its factorization.

1012133322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18099 (or 18096 counting only the distinct ones).

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

The square root of 1012133322 is about 31814.0428427448. The cubic root of 1012133322 is about 1004.0281925439.

Adding to 1012133322 its reverse (2233312101), we get a palindrome (3245445423).

The spelling of 1012133322 in words is "one billion, twelve million, one hundred thirty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 62 93 101 186 202 279 303 558 606 909 1818 3131 6262 9393 17959 18786 28179 35918 53877 56358 107754 161631 323262 556729 1113458 1670187 1813859 3340374 3627718 5010561 5441577 10021122 10883154 16324731 32649462 56229629 112459258 168688887 337377774 506066661 1012133322