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2201201222100 = 22352192571502629
BaseRepresentation
bin100000000010000001110…
…100010010000111010100
321210102200111102221101220
4200002001310102013110
5242031030003101400
64403115021250340
7315013550450226
oct40020164220724
97712614387356
102201201222100
11779584782a21
122b6735a039b0
1312c7596b504a
14787782dc416
153c3d1b2e7a0
hex20081d121d4

2201201222100 has 144 divisors (see below), whose sum is σ = 6730099454400. Its totient is φ = 553928785920.

The previous prime is 2201201222083. The next prime is 2201201222113. The reversal of 2201201222100 is 12221021022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2201201222100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 713586 + ... + 2216214.

Almost surely, 22201201222100 is an apocalyptic number.

2201201222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201201222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365049727200).

2201201222100 is an abundant number, since it is smaller than the sum of its proper divisors (4528898232300).

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

2201201222100 is a wasteful number, since it uses less digits than its factorization.

2201201222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502922 (or 1502915 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2201201222100 its reverse (12221021022), we get a palindrome (2213422243122).

It can be divided in two parts, 2201201 and 222100, that added together give a triangular number (2423301 = T2201).

The spelling of 2201201222100 in words is "two trillion, two hundred one billion, two hundred one million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 257 285 300 380 475 514 570 771 950 1028 1140 1285 1425 1542 1900 2570 2850 3084 3855 4883 5140 5700 6425 7710 9766 12850 14649 15420 19275 19532 24415 25700 29298 38550 48830 58596 73245 77100 97660 122075 146490 244150 292980 366225 488300 732450 1464900 1502629 3005258 4507887 6010516 7513145 9015774 15026290 18031548 22539435 28549951 30052580 37565725 45078870 57099902 75131450 85649853 90157740 112697175 114199804 142749755 150262900 171299706 225394350 285499510 342599412 386175653 428249265 450788700 570999020 713748775 772351306 856498530 1158526959 1427497550 1544702612 1712997060 1930878265 2141246325 2317053918 2854995100 3861756530 4282492650 4634107836 5792634795 7337337407 7723513060 8564985300 9654391325 11585269590 14674674814 19308782650 22012012221 23170539180 28963173975 29349349628 36686687035 38617565300 44024024442 57926347950 73373374070 88048048884 110060061105 115852695900 146746748140 183433435175 220120122210 366866870350 440240244420 550300305525 733733740700 1100600611050 2201201222100