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2102010023022 = 2371388113193313
BaseRepresentation
bin11110100101101001100…
…011111000110001101110
321102221122200200221102220
4132211221203320301232
5233414404031214042
64245352225500210
7304602524252010
oct36455143706156
97387580627386
102102010023022
11740503949a38
1229b472aa1666
131232ac61a340
1473a488581b0
1539a289098ec
hex1e9698f8c6e

2102010023022 has 128 divisors (see below), whose sum is σ = 5185543587840. Its totient is φ = 553160171520.

The previous prime is 2102010022997. The next prime is 2102010023023. The reversal of 2102010023022 is 2203200102012.

It is a happy number.

It is a super-2 number, since 2×21020100230222 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2102010022992 and 2102010023010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102010023023) 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 63 ways as a sum of consecutive naturals, for example, 634471638 + ... + 634474950.

It is an arithmetic number, because the mean of its divisors is an integer number (40512059280).

Almost surely, 22102010023022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102010023022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592771793920).

2102010023022 is an abundant number, since it is smaller than the sum of its proper divisors (3083533564818).

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

2102010023022 is a wasteful number, since it uses less digits than its factorization.

2102010023022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5538.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2102010023022 its reverse (2203200102012), we get a palindrome (4305210125034).

The spelling of 2102010023022 in words is "two trillion, one hundred two billion, ten million, twenty-three thousand, twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 881 1319 1762 2638 2643 3313 3957 5286 6167 6626 7914 9233 9939 11453 12334 17147 18466 18501 19878 22906 23191 27699 34294 34359 37002 43069 46382 51441 55398 68718 69573 80171 86138 102882 120029 129207 139146 160342 240058 240513 258414 301483 360087 481026 602966 720174 904449 1162039 1808898 2324078 2918753 3486117 4369847 5837506 6972234 8134273 8739694 8756259 13109541 15106507 16268546 17512518 20431271 24402819 26219082 30213014 30588929 37943789 40862542 45319521 48805638 56808011 61177858 61293813 75887578 90639042 91766787 105745549 113616022 113831367 122587626 170424033 183533574 211491098 227662734 265606523 317236647 340848066 397656077 531213046 634473294 795312154 796819569 1192968231 1593639138 2385936462 3849835207 7699670414 11549505621 23099011242 26948846449 50047857691 53897692898 80846539347 100095715382 150143573073 161693078694 300287146146 350335003837 700670007674 1051005011511 2102010023022