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2202101134002 = 2327111588817557
BaseRepresentation
bin100000000010110111011…
…101001011001010110010
321210112000012210012110100
4200002313131023022302
5242034400342242002
64403344205413230
7315045055541130
oct40026735131262
97715005705410
102202101134002
117799a6755070
122b694726a216
1312c870c7a5b3
1478821a34750
153c435b4011c
hex200b774b2b2

2202101134002 has 48 divisors (see below), whose sum is σ = 5948532937152. Its totient is φ = 571974320160.

The previous prime is 2202101134001. The next prime is 2202101134073. The reversal of 2202101134002 is 2004311012022.

It is a happy number.

2202101134002 is a `hidden beast` number, since 220 + 2 + 101 + 1 + 340 + 0 + 2 = 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 (2202101134001) 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 23 ways as a sum of consecutive naturals, for example, 794407393 + ... + 794410164.

It is an arithmetic number, because the mean of its divisors is an integer number (123927769524).

Almost surely, 22202101134002 is an apocalyptic number.

2202101134002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2202101134002 is an abundant number, since it is smaller than the sum of its proper divisors (3746431803150).

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

2202101134002 is a wasteful number, since it uses less digits than its factorization.

2202101134002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588817583 (or 1588817580 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2202101134002 its reverse (2004311012022), we get a palindrome (4206412146024).

The spelling of 2202101134002 in words is "two trillion, two hundred two billion, one hundred one million, one hundred thirty-four thousand, two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 1588817557 3177635114 4766452671 9532905342 11121722899 14299358013 17476993127 22243445798 28598716026 33365168697 34953986254 52430979381 66730337394 100095506091 104861958762 122338951889 157292938143 200191012182 244677903778 314585876286 367016855667 734033711334 1101050567001 2202101134002