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2002210001022 = 23711191731318463
BaseRepresentation
bin11101001000101101000…
…001000001000001111110
321002102001110100112102210
4131020231001001001332
5230301011230013042
64131445205001250
7264440426126520
oct35105501010176
97072043315383
102002210001022
11702150391310
122840600b3226
13116a66387b9a
146cc9c1b1a10
1537137022a9c
hex1d22d04107e

2002210001022 has 128 divisors (see below), whose sum is σ = 5285669437440. Its totient is φ = 489835002240.

The previous prime is 2002210000963. The next prime is 2002210001023. The reversal of 2002210001022 is 2201000122002.

It is a junction number, because it is equal to n+sod(n) for n = 2002210000989 and 2002210001007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002210001023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 859363 + ... + 2177825.

It is an arithmetic number, because the mean of its divisors is an integer number (41294292480).

Almost surely, 22002210001022 is an apocalyptic number.

2002210001022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002210001022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642834718720).

2002210001022 is an abundant number, since it is smaller than the sum of its proper divisors (3283459436418).

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

2002210001022 is a wasteful number, since it uses less digits than its factorization.

2002210001022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318678.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2002210001022 its reverse (2201000122002), we get a palindrome (4203210123024).

The spelling of 2002210001022 in words is "two trillion, two billion, two hundred ten million, one thousand, twenty-two".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 133 154 173 209 231 266 346 399 418 462 519 627 798 1038 1211 1254 1463 1903 2422 2926 3287 3633 3806 4389 5709 6574 7266 8778 9861 11418 13321 19722 23009 26642 36157 39963 46018 69027 72314 79926 108471 138054 216942 253099 506198 759297 1318463 1518594 2636926 3955389 7910778 9229241 14503093 18458482 25050797 27687723 29006186 43509279 50101594 55375446 75152391 87018558 101521651 150304782 175355579 203043302 228094099 275558767 304564953 350711158 456188198 526066737 551117534 609129906 684282297 826676301 1052133474 1368564594 1596658693 1653352602 1928911369 2509035089 3193317386 3857822738 4333787881 4789976079 5018070178 5786734107 7527105267 8667575762 9579952158 11573468214 13001363643 15054210534 17563245623 26002727286 30336515167 35126491246 47671666691 52689736869 60673030334 91009545501 95343333382 105379473738 143015000073 182019091002 286030000146 333701666837 667403333674 1001105000511 2002210001022