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1013333022 = 2321329314817
BaseRepresentation
bin111100011001100…
…011110000011110
32121121202122120200
4330121203300132
54033403124042
6244315124330
734053121452
oct7431436036
92547678520
101013333022
11480000109
122434436a6
13131c27b50
149881c662
155de66c4c
hex3c663c1e

1013333022 has 96 divisors (see below), whose sum is σ = 2525402880. Its totient is φ = 291271680.

The previous prime is 1013332987. The next prime is 1013333033. The reversal of 1013333022 is 2203333101.

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 = 1013332986 and 1013333004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207958 + ... + 212774.

It is an arithmetic number, because the mean of its divisors is an integer number (26306280).

Almost surely, 21013333022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013333022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262701440).

1013333022 is an abundant number, since it is smaller than the sum of its proper divisors (1512069858).

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

1013333022 is a wasteful number, since it uses less digits than its factorization.

1013333022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4898 (or 4895 counting only the distinct ones).

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

The square root of 1013333022 is about 31832.8921400491. The cubic root of 1013333022 is about 1004.4247335237.

Adding to 1013333022 its reverse (2203333101), we get a palindrome (3216666123).

The spelling of 1013333022 in words is "one billion, thirteen million, three hundred thirty-three thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 29 31 39 58 62 78 87 93 117 174 186 234 261 279 377 403 522 558 754 806 899 1131 1209 1798 2262 2418 2697 3393 3627 4817 5394 6786 7254 8091 9634 11687 14451 16182 23374 28902 35061 43353 62621 70122 86706 105183 125242 139693 149327 187863 210366 279386 298654 375726 419079 447981 563589 838158 895962 1127178 1257237 1343943 1816009 1941251 2514474 2687886 3632018 3882502 4330483 5448027 5823753 8660966 10896054 11647506 12991449 16344081 17471259 25982898 32688162 34942518 38974347 56296279 77948694 112592558 168888837 337777674 506666511 1013333022