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1010001122200 = 235272195424281
BaseRepresentation
bin11101011001010001100…
…00100001001110011000
310120112222201022001222101
432230220300201032120
5113021440241402300
62051553233133144
7132653524613500
oct16545060411630
93515881261871
101010001122200
1135a380337044
121438b33ba1b4
1374320289a25
1436c547bca00
151b414796b6a
hexeb28c21398

1010001122200 has 144 divisors (see below), whose sum is σ = 2875411888200. Its totient is φ = 328060454400.

The previous prime is 1010001122183. The next prime is 1010001122201. The reversal of 1010001122200 is 22211000101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010001122201) 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 35 ways as a sum of consecutive naturals, for example, 2525941 + ... + 2898340.

Almost surely, 21010001122200 is an apocalyptic number.

1010001122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010001122200 is an abundant number, since it is smaller than the sum of its proper divisors (1865410766000).

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

1010001122200 is a wasteful number, since it uses less digits than its factorization.

1010001122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5424330 (or 5424314 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1010001122200 its reverse (22211000101), we get a palindrome (1032212122301).

The spelling of 1010001122200 in words is "one trillion, ten billion, one million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 49 50 56 70 76 95 98 100 133 140 152 175 190 196 200 245 266 280 350 380 392 475 490 532 665 700 760 931 950 980 1064 1225 1330 1400 1862 1900 1960 2450 2660 3325 3724 3800 4655 4900 5320 6650 7448 9310 9800 13300 18620 23275 26600 37240 46550 93100 186200 5424281 10848562 21697124 27121405 37969967 43394248 54242810 75939934 103061339 108485620 135607025 151879868 189849835 206122678 216971240 265789769 271214050 303759736 379699670 412245356 515306695 531579538 542428100 721429373 759399340 824490712 949249175 1030613390 1063159076 1084856200 1328948845 1442858746 1518798680 1898498350 2061226780 2126318152 2576533475 2657897690 2885717492 3607146865 3796996700 4122453560 5050005611 5153066950 5315795380 5771434984 6644744225 7214293730 7593993400 10100011222 10306133900 10631590760 13289488450 14428587460 18035734325 20200022444 20612267800 25250028055 26578976900 28857174920 36071468650 40400044888 50500056110 53157953800 72142937300 101000112220 126250140275 144285874600 202000224440 252500280550 505000561100 1010001122200