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10132200020000 = 2554787643723
BaseRepresentation
bin1001001101110001011000…
…1011101101100000100000
31022212121222102220002112102
42103130112023231200200
52312001221201120000
633314400214145532
72064012235103162
oct223342613554040
938777872802472
1010132200020000
1132570508467a3
1211778313522a8
13586601a6a826
1427058887c932
15128865ec93d5
hex937162ed820

10132200020000 has 120 divisors (see below), whose sum is σ = 24958443753936. Its totient is φ = 4047723936000.

The previous prime is 10132200019987. The next prime is 10132200020029. The reversal of 10132200020000 is 2000223101.

It is a happy number.

It is a super-2 number, since 2×101322000200002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15418139 + ... + 16061861.

Almost surely, 210132200020000 is an apocalyptic number.

10132200020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132200020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12479221876968).

10132200020000 is an abundant number, since it is smaller than the sum of its proper divisors (14826243733936).

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

10132200020000 is an frugal number, since it uses more digits than its factorization.

10132200020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644540 (or 644517 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10132200020000 its reverse (2000223101), we get a palindrome (10134200243101).

The spelling of 10132200020000 in words is "ten trillion, one hundred thirty-two billion, two hundred million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 787 800 1000 1250 1574 2000 2500 3148 3935 4000 5000 6296 7870 10000 12592 15740 19675 20000 25184 31480 39350 62960 78700 98375 125920 157400 196750 314800 393500 491875 629600 643723 787000 983750 1287446 1574000 1967500 2574892 3148000 3218615 3935000 5149784 6437230 7870000 10299568 12874460 15740000 16093075 20599136 25748920 32186150 51497840 64372300 80465375 102995680 128744600 160930750 257489200 321861500 402326875 506610001 514978400 643723000 804653750 1013220002 1287446000 1609307500 2026440004 2533050005 2574892000 3218615000 4052880008 5066100010 6437230000 8105760016 10132200020 12665250025 12874460000 16211520032 20264400040 25330500050 40528800080 50661000100 63326250125 81057600160 101322000200 126652500250 202644000400 253305000500 316631250625 405288000800 506610001000 633262501250 1013220002000 1266525002500 2026440004000 2533050005000 5066100010000 10132200020000