Search a number
-
+
1022200202100 = 2235271144251091
BaseRepresentation
bin11101101111111111110…
…00010100001101110100
310121201110220000112121110
432313333320110031310
5113221431222431400
62101331533515020
7133565034233220
oct16677770241564
93551426015543
101022200202100
11364570402360
12146138942a70
1375515745abc
1437690a1d780
151b8ca73de50
hexedffe14374

1022200202100 has 144 divisors (see below), whose sum is σ = 3687354994176. Its totient is φ = 212405232000.

The previous prime is 1022200202057. The next prime is 1022200202117. The reversal of 1022200202100 is 12020022201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 22102446 + ... + 22148645.

It is an arithmetic number, because the mean of its divisors is an integer number (25606631904).

Almost surely, 21022200202100 is an apocalyptic number.

1022200202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022200202100 is an abundant number, since it is smaller than the sum of its proper divisors (2665154792076).

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

1022200202100 is a wasteful number, since it uses less digits than its factorization.

1022200202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44251126 (or 44251119 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1022200202100 its reverse (12020022201), we get a palindrome (1034220224301).

The spelling of 1022200202100 in words is "one trillion, twenty-two billion, two hundred million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 7700 11550 23100 44251091 88502182 132753273 177004364 221255455 265506546 309757637 442510910 486762001 531013092 619515274 663766365 885021820 929272911 973524002 1106277275 1239030548 1327532730 1460286003 1548788185 1858545822 1947048004 2212554550 2433810005 2655065460 2920572006 3097576370 3318831825 3407334007 3717091644 4425109100 4646364555 4867620010 5841144012 6195152740 6637663650 6814668014 7301430015 7743940925 9292729110 9735240020 10222002021 12169050025 13275327300 13629336028 14602860030 15487881850 17036670035 18585458220 20444004042 23231822775 24338100050 29205720060 30975763700 34073340070 36507150075 40888008084 46463645550 48676200100 51110010105 68146680140 73014300150 85183350175 92927291100 102220020210 146028600300 170366700350 204440040420 255550050525 340733400700 511100101050 1022200202100