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100012010022100 = 225211283321272117
BaseRepresentation
bin10110101111010111011100…
…010101001010010011010100
3111010010001110221021212101001
4112233113130111022103110
5101102044044031201400
6552412514431113044
730031425561510031
oct2657273425122324
9433101427255331
10100012010022100
1129959945393580
12b272bb7972784
1343a61273a93b7
141a9a86dcbc388
15b8681dd6ea6a
hex5af5dc54a4d4

100012010022100 has 72 divisors (see below), whose sum is σ = 237592297057248. Its totient is φ = 36239494684800.

The previous prime is 100012010022079. The next prime is 100012010022101. The reversal of 100012010022100 is 1220010210001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012010022101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160324759 + ... + 160947358.

It is an arithmetic number, because the mean of its divisors is an integer number (3299893014684).

Almost surely, 2100012010022100 is an apocalyptic number.

100012010022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012010022100 is an abundant number, since it is smaller than the sum of its proper divisors (137580287035148).

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

100012010022100 is a wasteful number, since it uses less digits than its factorization.

100012010022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321272425 (or 321272418 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100012010022100 its reverse (1220010210001), we get a palindrome (101232020232101).

The spelling of 100012010022100 in words is "one hundred trillion, twelve billion, ten million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 283 550 566 1100 1132 1415 2830 3113 5660 6226 7075 12452 14150 15565 28300 31130 62260 77825 155650 311300 321272117 642544234 1285088468 1606360585 3212721170 3533993287 6425442340 7067986574 8031802925 14135973148 16063605850 17669966435 32127211700 35339932870 70679865740 88349832175 90920009111 176699664350 181840018222 353399328700 363680036444 454600045555 909200091110 1000120100221 1818400182220 2000240200442 2273000227775 4000480400884 4546000455550 5000600501105 9092000911100 10001201002210 20002402004420 25003002505525 50006005011050 100012010022100