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2113100220132 = 2233118212166509
BaseRepresentation
bin11110101111111110100…
…101101000011011100100
321111000021120212022212000
4132233332211220123210
5234110112124021012
64254424515125300
7305444410341126
oct36577645503344
97430246768760
102113100220132
11745184a931a0
122a1648ba3830
13124359135555
14743bb6c7216
1539e77363ddc
hex1ebfe9686e4

2113100220132 has 96 divisors (see below), whose sum is σ = 5983727299200. Its totient is φ = 639553161600.

The previous prime is 2113100220131. The next prime is 2113100220137. The reversal of 2113100220132 is 2310220013112.

2113100220132 is a `hidden beast` number, since 2 + 1 + 1 + 310 + 0 + 220 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2113100220131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107907 + ... + 2058602.

It is an arithmetic number, because the mean of its divisors is an integer number (62330492700).

Almost surely, 22113100220132 is an apocalyptic number.

2113100220132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113100220132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991863649600).

2113100220132 is an abundant number, since it is smaller than the sum of its proper divisors (3870627079068).

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

2113100220132 is a wasteful number, since it uses less digits than its factorization.

2113100220132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167354 (or 2167346 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2113100220132 its reverse (2310220013112), we get a palindrome (4423320233244).

The spelling of 2113100220132 in words is "two trillion, one hundred thirteen billion, one hundred million, two hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 821 1188 1642 2463 3284 4926 7389 9031 9852 14778 18062 22167 27093 29556 36124 44334 54186 81279 88668 108372 162558 243837 325116 487674 975348 2166509 4333018 6499527 8666036 12999054 19498581 23831599 25998108 38997162 47663198 58495743 71494797 77994324 95326396 116991486 142989594 214484391 233982972 285979188 428968782 643453173 857937564 1286906346 1778703889 2573812692 3557407778 5336111667 7114815556 10672223334 16008335001 19565742779 21344446668 32016670002 39131485558 48025005003 58697228337 64033340004 78262971116 96050010006 117394456674 176091685011 192100020012 234788913348 352183370022 528275055033 704366740044 1056550110066 2113100220132