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10011212320004 = 2274150918719157
BaseRepresentation
bin1001000110101110101011…
…0000010000110100000100
31022110001200121012010100122
42101223222300100310010
52303010430323220004
633143030520001112
72052200113446020
oct221535260206404
938401617163318
1010011212320004
11320a8053a9a95
1211582a6900198
135780900619bc
1426878c2ab380
15125634471cbe
hex91aeac10d04

10011212320004 has 96 divisors (see below), whose sum is σ = 20564302187520. Its totient is φ = 4174960204800.

The previous prime is 10011212319937. The next prime is 10011212320027. The reversal of 10011212320004 is 40002321211001.

It is an unprimeable number.

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, 1093280594 + ... + 1093289750.

It is an arithmetic number, because the mean of its divisors is an integer number (214211481120).

Almost surely, 210011212320004 is an apocalyptic number.

10011212320004 is a gapful number since it is divisible by the number (14) 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 10011212320004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10282151093760).

10011212320004 is an abundant number, since it is smaller than the sum of its proper divisors (10553089867516).

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

10011212320004 is a wasteful number, since it uses less digits than its factorization.

10011212320004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11589 (or 11587 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10011212320004 its reverse (40002321211001), we get a palindrome (50013533531005).

The spelling of 10011212320004 in words is "ten trillion, eleven billion, two hundred twelve million, three hundred twenty thousand, four".

Divisors: 1 2 4 7 14 28 41 82 164 287 509 574 1018 1148 1871 2036 3563 3742 7126 7484 9157 13097 14252 18314 20869 26194 36628 41738 52388 64099 76711 83476 128198 146083 153422 256396 292166 306844 375437 536977 584332 750874 952339 1073954 1501748 1904678 2147908 2628059 3809356 4660913 5256118 6666373 9321826 10512236 13332746 17132747 18643652 26665492 32626391 34265494 39045899 65252782 68530988 78091798 119929229 130505564 156183596 191097433 239858458 273321293 382194866 479716916 546642586 702442627 764389732 1093285172 1337682031 1404885254 2675364062 2809770508 4917098389 5350728124 8720568223 9834196778 17441136446 19668393556 34882272892 61043977561 122087955122 244175910244 357543297143 715086594286 1430173188572 2502803080001 5005606160002 10011212320004