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104221352532 = 223112174579239
BaseRepresentation
bin110000100010000010…
…0111010001001010100
3100222000100212021021210
41201010010322021110
53201421131240112
6115513441141420
710346462610513
oct1410404721124
9328010767253
10104221352532
1140222266800
121824762a870
139a9c25338b
14508995467a
152a9eb35b3c
hex184413a254

104221352532 has 144 divisors (see below), whose sum is σ = 283674061440. Its totient is φ = 29656197120.

The previous prime is 104221352509. The next prime is 104221352561. The reversal of 104221352532 is 235253122401.

It is a super-2 number, since 2×1042213525322 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104221352532.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 11275969 + ... + 11285207.

It is an arithmetic number, because the mean of its divisors is an integer number (1969958760).

Almost surely, 2104221352532 is an apocalyptic number.

104221352532 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 104221352532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141837030720).

104221352532 is an abundant number, since it is smaller than the sum of its proper divisors (179452708908).

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

104221352532 is a wasteful number, since it uses less digits than its factorization.

104221352532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9742 (or 9729 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 104221352532 its reverse (235253122401), we get a palindrome (339474474933).

The spelling of 104221352532 in words is "one hundred four billion, two hundred twenty-one million, three hundred fifty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 121 132 187 204 242 363 374 457 484 561 726 748 914 1122 1371 1452 1828 2057 2244 2742 4114 5027 5484 6171 7769 8228 9239 10054 12342 15081 15538 18478 20108 23307 24684 27717 30162 31076 36956 46614 55297 55434 60324 85459 93228 101629 110594 110868 157063 165891 170918 203258 221188 256377 304887 314126 331782 341836 406516 471189 512754 609774 628252 663564 940049 942378 1025508 1117919 1219548 1727693 1880098 1884756 2235838 2820147 3353757 3455386 3760196 4222223 4471676 5183079 5640294 6707514 6910772 8444446 10366158 11280588 12666669 13415028 16888892 19004623 20732316 25333338 38009246 46444453 50666676 57013869 71777791 76018492 92888906 114027738 139333359 143555582 185777812 215333373 228055476 278666718 287111164 430666746 510888983 557333436 789555701 861333492 1021777966 1532666949 1579111402 2043555932 2368667103 3065333898 3158222804 4737334206 6130667796 8685112711 9474668412 17370225422 26055338133 34740450844 52110676266 104221352532