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2202200100100 = 22527111322000001
BaseRepresentation
bin100000000010111101010…
…110101100110100000100
321210112021010000012102101
4200002331112230310010
5242040101211200400
64403402102521444
7315050366666050
oct40027526546404
97715233005371
102202200100100
11779a475aa830
122b6974436284
1312c88861b610
1478830c36c60
153c43e68d56a
hex200bd5acd04

2202200100100 has 144 divisors (see below), whose sum is σ = 6416256583296. Its totient is φ = 633600000000.

The previous prime is 2202200100059. The next prime is 2202200100127. The reversal of 2202200100100 is 10010022022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10899901 + ... + 11100100.

It is an arithmetic number, because the mean of its divisors is an integer number (44557337384).

Almost surely, 22202200100100 is an apocalyptic number.

2202200100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202200100100 is an abundant number, since it is smaller than the sum of its proper divisors (4214056483196).

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

2202200100100 is a wasteful number, since it uses less digits than its factorization.

2202200100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22000046 (or 22000039 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2202200100100 its reverse (10010022022), we get a palindrome (2212210122122).

The spelling of 2202200100100 in words is "two trillion, two hundred two billion, two hundred million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 25025 50050 100100 22000001 44000002 88000004 110000005 154000007 220000010 242000011 286000013 308000014 440000020 484000022 550000025 572000026 616000028 770000035 968000044 1100000050 1144000052 1210000055 1430000065 1540000070 1694000077 2002000091 2200000100 2420000110 2860000130 3080000140 3146000143 3388000154 3850000175 4004000182 4840000220 5720000260 6050000275 6292000286 6776000308 7150000325 7700000350 8008000364 8470000385 10010000455 12100000550 12584000572 14300000650 15400000700 15730000715 16940000770 20020000910 22022001001 24200001100 28600001300 31460001430 33880001540 40040001820 42350001925 44044002002 50050002275 62920002860 78650003575 84700003850 88088004004 100100004550 110110005005 157300007150 169400007700 200200009100 220220010010 314600014300 440440020020 550550025025 1101100050050 2202200100100