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1021230012 = 2231119229739
BaseRepresentation
bin111100110111101…
…011101110111100
32122011121212012210
4330313223232330
54042413330022
6245200300420
734210211655
oct7467535674
92564555183
101021230012
11484504250
12246011710
1313376141a
14998b652c
155e9c6a0c
hex3cdebbbc

1021230012 has 144 divisors (see below), whose sum is σ = 2841955200. Its totient is φ = 282683520.

The previous prime is 1021229999. The next prime is 1021230017. The reversal of 1021230012 is 2100321201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1021230012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021230017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1381539 + ... + 1382277.

It is an arithmetic number, because the mean of its divisors is an integer number (19735800).

Almost surely, 21021230012 is an apocalyptic number.

1021230012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021230012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420977600).

1021230012 is an abundant number, since it is smaller than the sum of its proper divisors (1820725188).

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

1021230012 is a wasteful number, since it uses less digits than its factorization.

1021230012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1021230012 is about 31956.6896283079. The cubic root of 1021230012 is about 1007.0271738247.

Adding to 1021230012 its reverse (2100321201), we get a palindrome (3121551213).

The spelling of 1021230012 in words is "one billion, twenty-one million, two hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 11 12 19 22 29 33 38 44 57 58 66 76 87 114 116 132 174 209 228 319 348 361 418 551 627 638 722 739 836 957 1083 1102 1254 1276 1444 1478 1653 1914 2166 2204 2217 2508 2956 3306 3828 3971 4332 4434 6061 6612 7942 8129 8868 10469 11913 12122 14041 15884 16258 18183 20938 21431 23826 24244 24387 28082 31407 32516 36366 41876 42123 42862 47652 48774 56164 62814 64293 72732 84246 85724 97548 115159 125628 128586 154451 168492 230318 235741 257172 266779 308902 345477 407189 460636 463353 471482 533558 617804 690954 707223 800337 814378 926706 942964 1067116 1221567 1381908 1414446 1600674 1628756 1853412 2443134 2828892 2934569 3201348 4479079 4886268 5869138 7736591 8803707 8958158 11738276 13437237 15473182 17607414 17916316 23209773 26874474 30946364 35214828 46419546 53748948 85102501 92839092 170205002 255307503 340410004 510615006 1021230012