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201002212202022 = 232711909115952397
BaseRepresentation
bin101101101100111101111001…
…011101010001011000100110
3222100200121211202200222201200
4231230331321131101120212
5202321210012310431042
61551255050323103330
760223634124423240
oct5554757135213046
9870617752628650
10201002212202022
1159055617742380
121a6636aa211b46
13882057296bcaa
14378c7b7ba3090
1518387deb32c4c
hexb6cf79751626

201002212202022 has 96 divisors (see below), whose sum is σ = 543026774594304. Its totient is φ = 52202620670400.

The previous prime is 201002212201949. The next prime is 201002212202027. The reversal of 201002212202022 is 220202212200102.

201002212202022 is a `hidden beast` number, since 20 + 1 + 0 + 0 + 221 + 220 + 202 + 2 = 666.

It is a super-2 number, since 2×2010022122020222 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 201002212201986 and 201002212202004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201002212202027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4623928 + ... + 20576324.

It is an arithmetic number, because the mean of its divisors is an integer number (5656528902024).

Almost surely, 2201002212202022 is an apocalyptic number.

201002212202022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

201002212202022 is an abundant number, since it is smaller than the sum of its proper divisors (342024562392282).

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

201002212202022 is a wasteful number, since it uses less digits than its factorization.

201002212202022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15961514 (or 15961511 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 201002212202022 its reverse (220202212200102), we get a palindrome (421204424402124).

It can be divided in two parts, 20100 and 2212202022, that added together give a palindrome (2212222122).

The spelling of 201002212202022 in words is "two hundred one trillion, two billion, two hundred twelve million, two hundred two thousand, twenty-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 9091 18182 27273 54546 63637 81819 100001 127274 163638 190911 200002 300003 381822 572733 600006 700007 900009 1145466 1400014 1800018 2100021 4200042 6300063 12600126 15952397 31904794 47857191 95714382 111666779 143571573 175476367 223333558 287143146 335000337 350952734 526429101 670000674 1005001011 1052858202 1228334569 1579287303 2010002022 2456669138 3158574606 3685003707 7370007414 11055011121 22110022242 145023241127 290046482254 435069723381 870139446762 1015162687889 1305209170143 1595255652397 2030325375778 2610418340286 3045488063667 3190511304794 4785766957191 6090976127334 9136464191001 9571533914382 11166789566779 14357300871573 18272928382002 22333579133558 28714601743146 33500368700337 67000737400674 100501106101011 201002212202022