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2122122002 = 27111317232711
BaseRepresentation
bin111111001111101…
…0000001100010010
312110220010222010012
41332133100030102
513321230401002
6550324234522
7103405511420
oct17637201422
95426128105
102122122002
11999978740
124b283ba42
1327a8650c0
14161ba8110
15c6486d52
hex7e7d0312

2122122002 has 128 divisors (see below), whose sum is σ = 4723826688. Its totient is φ = 686822400.

The previous prime is 2122121977. The next prime is 2122122017. The reversal of 2122122002 is 2002212212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 781427 + ... + 784137.

It is an arithmetic number, because the mean of its divisors is an integer number (36904896).

Almost surely, 22122122002 is an apocalyptic number.

2122122002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2122122002 is an abundant number, since it is smaller than the sum of its proper divisors (2601704686).

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

2122122002 is a wasteful number, since it uses less digits than its factorization.

2122122002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784.

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2122122002 is about 46066.4954386591. The cubic root of 2122122002 is about 1285.0601297141.

Adding to 2122122002 its reverse (2002212212), we get a palindrome (4124334214).

It can be divided in two parts, 212212 and 2002, that multiplied together give a palindrome (424848424).

The spelling of 2122122002 in words is "two billion, one hundred twenty-two million, one hundred twenty-two thousand, two".

Divisors: 1 2 7 11 13 14 17 22 23 26 34 46 77 91 119 143 154 161 182 187 221 238 253 286 299 322 374 391 442 506 598 782 1001 1309 1547 1771 2002 2093 2431 2618 2711 2737 3094 3289 3542 4186 4301 4862 5083 5422 5474 6578 8602 10166 17017 18977 23023 29821 30107 34034 35243 35581 37954 46046 46087 55913 59642 60214 62353 70486 71162 92174 111826 124706 208747 246701 322609 387673 391391 417494 436471 493402 506957 599131 645218 685883 775346 782782 810589 872942 1013914 1060001 1198262 1371766 1621178 2120002 2713711 3548699 4193917 4801181 5427422 5674123 6590441 7097398 7420007 8387834 8916479 9602362 11348246 11660011 13180882 13780013 14840014 17832958 23320022 27560026 46133087 62415353 81620077 92266174 96460091 124830706 151580143 163240154 192920182 303160286 1061061001 2122122002