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10221121001 = 713593535393
BaseRepresentation
bin10011000010011100…
…11110110111101001
3222101022211202010002
421201032132313221
5131413101333001
64410122032345
7511201044410
oct114116366751
928338752102
1010221121001
114375613543
121b930486b5
13c6b75b1c0
146cd682477
153ec4da46b
hex26139ede9

10221121001 has 32 divisors (see below), whose sum is σ = 12831678720. Its totient is φ = 7925981184.

The previous prime is 10221120979. The next prime is 10221121007. The reversal of 10221121001 is 10012112201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10221121001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10221121007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1892561 + ... + 1897953.

It is an arithmetic number, because the mean of its divisors is an integer number (400989960).

Almost surely, 210221121001 is an apocalyptic number.

It is an amenable number.

10221121001 is a deficient number, since it is larger than the sum of its proper divisors (2610557719).

10221121001 is a wasteful number, since it uses less digits than its factorization.

10221121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5825.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10221121001 its reverse (10012112201), we get a palindrome (20233233202).

The spelling of 10221121001 in words is "ten billion, two hundred twenty-one million, one hundred twenty-one thousand, one".

Divisors: 1 7 13 59 91 353 413 767 2471 4589 5369 5393 20827 32123 37751 70109 145789 270751 318187 490763 1895257 1903729 2227309 4136431 13326103 24748477 28955017 112320011 173239339 786240077 1460160143 10221121001