Search a number
-
+
1000022011200 = 26325269445973
BaseRepresentation
bin11101000110101011111…
…01001110110101000000
310112121020020211201011200
432203111331032311000
5112341021113324300
62043223114141200
7132151322562432
oct16432575166500
93477206751150
101000022011200
1135611a39a273
12141989421800
13733bca04514
1436589336652
151b02d663200
hexe8d5f4ed40

1000022011200 has 126 divisors (see below), whose sum is σ = 3554314395294. Its totient is φ = 266672532480.

The previous prime is 1000022011129. The next prime is 1000022011211. The reversal of 1000022011200 is 21102200001.

It can be written as a sum of positive squares in 3 ways, for example, as 64499745024 + 935522266176 = 253968^2 + 967224^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34708587 + ... + 34737386.

Almost surely, 21000022011200 is an apocalyptic number.

1000022011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000022011200 is an abundant number, since it is smaller than the sum of its proper divisors (2554292384094).

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

1000022011200 is a wasteful number, since it uses less digits than its factorization.

1000022011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69446001 (or 69445983 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1000022011200 its reverse (21102200001), we get a palindrome (1021124211201).

The spelling of 1000022011200 in words is "one trillion, twenty-two million, eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 144 150 160 180 192 200 225 240 288 300 320 360 400 450 480 576 600 720 800 900 960 1200 1440 1600 1800 2400 2880 3600 4800 7200 14400 69445973 138891946 208337919 277783892 347229865 416675838 555567784 625013757 694459730 833351676 1041689595 1111135568 1250027514 1388919460 1666703352 1736149325 2083379190 2222271136 2500055028 2777838920 3125068785 3333406704 3472298650 4166758380 4444542272 5000110056 5208447975 5555677840 6250137570 6666813408 6944597300 8333516760 10000220112 10416895950 11111355680 12500275140 13333626816 13889194600 15625343925 16667033520 20000440224 20833791900 22222711360 25000550280 27778389200 31250687850 33334067040 40000880448 41667583800 50001100560 55556778400 62501375700 66668134080 83335167600 100002201120 111113556800 125002751400 166670335200 200004402240 250005502800 333340670400 500011005600 1000022011200