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10000122220109 = 721943597953593
BaseRepresentation
bin1001000110000101010110…
…1110111000111001001101
31022102000001201012200022002
42101201111232320321031
52302320222242020414
633133554232402045
72051325231243200
oct221412556707115
938360051180262
1010000122220109
11320603432187a
121156110846325
1357701357bb08
14268019465937
151251d5a364de
hex91855bb8e4d

10000122220109 has 96 divisors (see below), whose sum is σ = 12903720192000. Its totient is φ = 7698279004416.

The previous prime is 10000122220103. The next prime is 10000122220199. The reversal of 10000122220109 is 90102222100001.

It is a happy number.

10000122220109 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10000122220109 - 24 = 10000122220093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000122220103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 186567017 + ... + 186620609.

It is an arithmetic number, because the mean of its divisors is an integer number (134413752000).

Almost surely, 210000122220109 is an apocalyptic number.

10000122220109 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10000122220109 is a deficient number, since it is larger than the sum of its proper divisors (2903597971891).

10000122220109 is a wasteful number, since it uses less digits than its factorization.

10000122220109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53807 (or 53800 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 10000122220109 in words is "ten trillion, one hundred twenty-two million, two hundred twenty thousand, one hundred nine".

Divisors: 1 7 19 43 49 59 79 133 301 413 553 817 931 1121 1501 2107 2537 2891 3397 3871 4661 5719 7847 10507 17759 23779 32627 40033 48203 53593 54929 64543 73549 88559 124313 166453 200423 228389 337421 375151 451801 619913 1018267 1402961 2304499 2361947 2626057 3161987 3162607 3808037 4233847 4339391 7127869 9820727 16131493 22133909 26656259 29636929 43785481 49895083 60077753 80443093 112920451 135965441 154937363 182055421 186593813 207458503 249796973 306498367 420544271 563101651 951758087 1274387947 1748578811 2145488569 2583343379 2943809897 3459052999 3941711557 4746142487 6662306609 8920715629 10741269839 12240051677 18083403653 24213370993 33222997409 75188888873 126583825571 169493596951 204084126941 232560981863 526322222111 1428588888587 10000122220109