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101022021011002 = 271310712473415901
BaseRepresentation
bin10110111110000100000101…
…101011010100011000111010
3111020200121111100011012220211
4112332010011223110120322
5101220121044334323002
6554504513055541334
730164412566326450
oct2676040553243072
9436617440135824
10101022021011002
112a209220249613
12b3b68b252a84a
13444a44970c0c0
141ad36c5b089d0
15ba2c34414dd7
hex5be105ad463a

101022021011002 has 64 divisors (see below), whose sum is σ = 188260748653824. Its totient is φ = 39587983833600.

The previous prime is 101022021010987. The next prime is 101022021011003. The reversal of 101022021011002 is 200110120220101.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (101022021011003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242691252 + ... + 243107152.

It is an arithmetic number, because the mean of its divisors is an integer number (2941574197716).

Almost surely, 2101022021011002 is an apocalyptic number.

101022021011002 is a deficient number, since it is larger than the sum of its proper divisors (87238727642822).

101022021011002 is a wasteful number, since it uses less digits than its factorization.

101022021011002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428503.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101022021011002 its reverse (200110120220101), we get a palindrome (301132141231103).

The spelling of 101022021011002 in words is "one hundred one trillion, twenty-two billion, twenty-one million, eleven thousand, two".

Divisors: 1 2 7 13 14 26 91 107 182 214 749 1391 1498 2782 9737 12473 19474 24946 87311 162149 174622 324298 415901 831802 1135043 1334611 2270086 2669222 2911307 5406713 5822614 9342277 10813426 17349943 18684554 34699886 37846991 44501407 75693982 89002814 121449601 242899202 311509849 578518291 623019698 1157036582 4049628037 5187533173 8099256074 10375066346 36312732211 67437931249 72625464422 134875862498 472065518743 555066049511 944131037486 1110132099022 3885462346577 7215858643643 7770924693154 14431717287286 50511010505501 101022021011002