Search a number
-
+
2211212122002 = 2321353263677927
BaseRepresentation
bin100000001011010110100…
…000110101011110010010
321211101112011201100101100
4200023112200311132102
5242212030300401002
64411452233445230
7315516616630302
oct40132640653622
97741464640340
102211212122002
11782851662214
122b866a570816
1313069371a860
1479047a9b602
153c7ba94211c
hex202d6835792

2211212122002 has 96 divisors (see below), whose sum is σ = 5276839696128. Its totient is φ = 664996595328.

The previous prime is 2211212121997. The next prime is 2211212122013. The reversal of 2211212122002 is 2002212121122.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2922763 + ... + 3600689.

It is an arithmetic number, because the mean of its divisors is an integer number (54967080168).

Almost surely, 22211212122002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211212122002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638419848064).

2211212122002 is an abundant number, since it is smaller than the sum of its proper divisors (3065627574126).

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

2211212122002 is a wasteful number, since it uses less digits than its factorization.

2211212122002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678264 (or 678261 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2211212122002 its reverse (2002212121122), we get a palindrome (4213424243124).

The spelling of 2211212122002 in words is "two trillion, two hundred eleven billion, two hundred twelve million, one hundred twenty-two thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 234 263 318 477 526 689 789 954 1378 1578 2067 2367 3419 4134 4734 6201 6838 10257 12402 13939 20514 27878 30771 41817 61542 83634 125451 181207 250902 362414 543621 677927 1087242 1355854 1630863 2033781 3261726 4067562 6101343 8813051 12202686 17626102 26439153 35930131 52878306 71860262 79317459 107790393 158634918 178294801 215580786 323371179 356589602 467091703 534884403 646742358 934183406 1069768806 1401275109 1604653209 2317832413 2802550218 3209306418 4203825327 4635664826 6953497239 8407650654 9449624453 13906994478 18899248906 20860491717 28348873359 41720983434 56697746718 85046620077 122845117889 170093240154 245690235778 368535353667 737070707334 1105606061001 2211212122002