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101213024304 = 243717109162563
BaseRepresentation
bin101111001000011000…
…1000011000000110000
3100200020201011100202210
41132100301003000300
53124241013234204
6114255134212120
710212103340340
oct1362061030060
9320221140683
10101213024304
1139a19128227
1217748054040
13970cc141c2
144c821c0d20
152975999389
hex1790c43030

101213024304 has 160 divisors (see below), whose sum is σ = 319301706240. Its totient is φ = 26967085056.

The previous prime is 101213024267. The next prime is 101213024329. The reversal of 101213024304 is 403420312101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541327 + ... + 703889.

It is an arithmetic number, because the mean of its divisors is an integer number (1995635664).

Almost surely, 2101213024304 is an apocalyptic number.

101213024304 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 101213024304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159650853120).

101213024304 is an abundant number, since it is smaller than the sum of its proper divisors (218088681936).

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

101213024304 is a wasteful number, since it uses less digits than its factorization.

101213024304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162707 (or 162701 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 101213024304 its reverse (403420312101), we get a palindrome (504633336405).

The spelling of 101213024304 in words is "one hundred one billion, two hundred thirteen million, twenty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 109 112 119 136 168 204 218 238 272 327 336 357 408 436 476 654 714 763 816 872 952 1308 1428 1526 1744 1853 1904 2289 2616 2856 3052 3706 4578 5232 5559 5712 6104 7412 9156 11118 12208 12971 14824 18312 22236 25942 29648 36624 38913 44472 51884 77826 88944 103768 155652 162563 207536 311304 325126 487689 622608 650252 975378 1137941 1300504 1950756 2275882 2601008 2763571 3413823 3901512 4551764 5527142 6827646 7803024 8290713 9103528 11054284 13655292 16581426 17719367 18207056 19344997 22108568 27310584 33162852 35438734 38689994 44217136 53158101 54621168 58034991 66325704 70877468 77379988 106316202 116069982 124035569 132651408 141754936 154759976 212632404 232139964 248071138 283509872 301229239 309519952 372106707 425264808 464279928 496142276 602458478 744213414 850529616 903687717 928559856 992284552 1204916956 1488426828 1807375434 1984569104 2108604673 2409833912 2976853656 3614750868 4217209346 4819667824 5953707312 6325814019 7229501736 8434418692 12651628038 14459003472 16868837384 25303256076 33737674768 50606512152 101213024304