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100002221021 = 29436779109139
BaseRepresentation
bin101110100100010011…
…0001100101111011101
3100120010022211011220202
41131020212030233131
53114301032033041
6113535042353245
710140101565533
oct1351046145735
9316108734822
10100002221021
113945771285a
121746a65b825
139579109661
144ba947c153
152904527a9b
hex174898cbdd

100002221021 has 64 divisors (see below), whose sum is σ = 110584320000. Its totient is φ = 90229531392.

The previous prime is 100002221009. The next prime is 100002221063. The reversal of 100002221021 is 120122200001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100002221021 - 210 = 100002219997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100002220993 and 100002221011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002223021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 719440370 + ... + 719440508.

It is an arithmetic number, because the mean of its divisors is an integer number (1727880000).

Almost surely, 2100002221021 is an apocalyptic number.

It is an amenable number.

100002221021 is a deficient number, since it is larger than the sum of its proper divisors (10582098979).

100002221021 is a wasteful number, since it uses less digits than its factorization.

100002221021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100002221021 its reverse (120122200001), we get a palindrome (220124421022).

The spelling of 100002221021 in words is "one hundred billion, two million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 29 43 67 79 109 139 1247 1943 2291 2881 3161 3397 4031 4687 5293 5977 7303 8611 9313 10981 15151 83549 98513 135923 153497 173333 211787 227599 249719 270077 314029 318449 370273 400459 439379 472183 576937 651493 735727 1015117 1196929 6600371 9106841 10737917 11613311 13693307 16731173 18893297 21336083 24808291 29438393 31636261 34710941 43650031 51467947 80194243 719440439 917451569 1265850899 1492570463 2325633047 3448352449 100002221021