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1001011230212 = 2272910936730817
BaseRepresentation
bin11101001000100001110…
…10110011011000000100
310112200210012020020112212
432210100322303120010
5112400032333331322
62043505212402552
7132214664032040
oct16442072633004
93480705206485
101001011230212
1135658781a144
12142004776458
1373519938506
1436640879020
151b08a4150e2
hexe910eb3604

1001011230212 has 96 divisors (see below), whose sum is σ = 2095821235200. Its totient is φ = 409279868928.

The previous prime is 1001011230211. The next prime is 1001011230227. The reversal of 1001011230212 is 2120321101001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1001011230211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32467028 + ... + 32497844.

It is an arithmetic number, because the mean of its divisors is an integer number (21831471200).

Almost surely, 21001011230212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001011230212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047910617600).

1001011230212 is an abundant number, since it is smaller than the sum of its proper divisors (1094810004988).

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

1001011230212 is a wasteful number, since it uses less digits than its factorization.

1001011230212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31333 (or 31331 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1001011230212 its reverse (2120321101001), we get a palindrome (3121332331213).

The spelling of 1001011230212 in words is "one trillion, one billion, eleven million, two hundred thirty thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 29 58 109 116 203 218 367 406 436 734 763 812 1468 1526 2569 3052 3161 5138 6322 10276 10643 12644 21286 22127 30817 40003 42572 44254 61634 74501 80006 88508 123268 149002 160012 215719 280021 298004 431438 560042 862876 893693 1120084 1160087 1787386 2320174 3359053 3574772 4640348 6255851 6718106 8120609 11309839 12511702 13436212 16241218 22619678 23513371 25023404 32482436 45239356 47026742 79168873 94053484 97412537 158337746 194825074 316675492 327985331 389650148 655970662 681887759 1232772451 1311941324 1363775518 2295897317 2465544902 2727551036 4591794634 4931089804 8629407157 9183589268 17258814314 34517628628 35750401079 71500802158 143001604316 250252807553 500505615106 1001011230212