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100322421012 = 2232112947185869
BaseRepresentation
bin101110101101110101…
…1101010100100010100
3100120221122100000201200
41131123223222210110
53120430014433022
6114030521352500
710151040336312
oct1353353524424
9316848300650
10100322421012
1139601433850
1217539938730
1395ca55a8c8
144bd9bcd0b2
1529226c6bac
hex175baea914

100322421012 has 144 divisors (see below), whose sum is σ = 292276857600. Its totient is φ = 28727758080.

The previous prime is 100322420941. The next prime is 100322421013. The reversal of 100322421012 is 210124223001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100322421013) 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, 446814 + ... + 632682.

It is an arithmetic number, because the mean of its divisors is an integer number (2029700400).

Almost surely, 2100322421012 is an apocalyptic number.

100322421012 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 100322421012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146138428800).

100322421012 is an abundant number, since it is smaller than the sum of its proper divisors (191954436588).

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

100322421012 is a wasteful number, since it uses less digits than its factorization.

100322421012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185966 (or 185961 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100322421012 its reverse (210124223001), we get a palindrome (310446644013).

The spelling of 100322421012 in words is "one hundred billion, three hundred twenty-two million, four hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 47 58 66 87 94 99 116 132 141 174 188 198 261 282 319 348 396 423 517 522 564 638 846 957 1034 1044 1276 1363 1551 1692 1914 2068 2726 2871 3102 3828 4089 4653 5452 5742 6204 8178 9306 11484 12267 14993 16356 18612 24534 29986 44979 49068 59972 89958 134937 179916 185869 269874 371738 539748 557607 743476 1115214 1672821 2044559 2230428 3345642 4089118 5390201 6133677 6691284 8178236 8735843 10780402 12267354 16170603 17471686 18401031 21560804 24534708 26207529 32341206 34943372 36802062 48511809 52415058 59292211 64682412 73604124 78622587 96094273 97023618 104830116 118584422 157245174 177876633 192188546 194047236 237168844 253339447 288282819 314490348 355753266 384377092 506678894 533629899 576565638 711506532 760018341 864848457 1013357788 1067259798 1153131276 1520036682 1729696914 2134519596 2280055023 2786733917 3040073364 3459393828 4560110046 5573467834 8360201751 9120220092 11146935668 16720403502 25080605253 33440807004 50161210506 100322421012