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1002022201200 = 243522293646369
BaseRepresentation
bin11101001010011010010…
…11010110011101110000
310112210101122112220000210
432211031023112131300
5112404120140414300
62044153405144120
7132252021115236
oct16451513263560
93483348486023
101002022201200
11356a56456659
1214224725b040
137364b2171b7
14366d8c40956
151b0e9062050
hexe94d2d6770

1002022201200 has 120 divisors (see below), whose sum is σ = 3223828644400. Its totient is φ = 266039009280.

The previous prime is 1002022201199. The next prime is 1002022201217. The reversal of 1002022201200 is 21022202001.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 1548385 + ... + 2097984.

Almost surely, 21002022201200 is an apocalyptic number.

1002022201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002022201200 is an abundant number, since it is smaller than the sum of its proper divisors (2221806443200).

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

1002022201200 is a wasteful number, since it uses less digits than its factorization.

1002022201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646619 (or 3646608 counting only the distinct ones).

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

Adding to 1002022201200 its reverse (21022202001), we get a palindrome (1023044403201).

The spelling of 1002022201200 in words is "one trillion, two billion, twenty-two million, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 229 240 300 400 458 600 687 916 1145 1200 1374 1832 2290 2748 3435 3664 4580 5496 5725 6870 9160 10992 11450 13740 17175 18320 22900 27480 34350 45800 54960 68700 91600 137400 274800 3646369 7292738 10939107 14585476 18231845 21878214 29170952 36463690 43756428 54695535 58341904 72927380 87512856 91159225 109391070 145854760 175025712 182318450 218782140 273477675 291709520 364636900 437564280 546955350 729273800 835018501 875128560 1093910700 1458547600 1670037002 2187821400 2505055503 3340074004 4175092505 4375642800 5010111006 6680148008 8350185010 10020222012 12525277515 13360296016 16700370020 20040444024 20875462525 25050555030 33400740040 40080888048 41750925050 50101110060 62626387575 66801480080 83501850100 100202220120 125252775150 167003700200 200404440240 250505550300 334007400400 501011100600 1002022201200