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10131424220000 = 25541011150101
BaseRepresentation
bin1001001101101110011111…
…1100010001001101100000
31022212112222101002101000002
42103123213330101031200
52311443124100020000
633314151222115132
72063654064650456
oct223334774211540
938775871071002
1010131424220000
113256792934776
12117765557baa8
1358650a10b985
142705138129d6
1512881cd328d5
hex936e7f11360

10131424220000 has 120 divisors (see below), whose sum is σ = 24927785955072. Its totient is φ = 4052088000000.

The previous prime is 10131424219963. The next prime is 10131424220003. The reversal of 10131424220000 is 2242413101.

10131424220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131424220003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 202194950 + ... + 202245050.

Almost surely, 210131424220000 is an apocalyptic number.

10131424220000 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 10131424220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12463892977536).

10131424220000 is an abundant number, since it is smaller than the sum of its proper divisors (14796361735072).

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

10131424220000 is an equidigital number, since it uses as much as digits as its factorization.

10131424220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60242 (or 60219 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10131424220000 its reverse (2242413101), we get a palindrome (10133666633101).

The spelling of 10131424220000 in words is "ten trillion, one hundred thirty-one billion, four hundred twenty-four million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 10111 20000 20222 40444 50101 50555 80888 100202 101110 161776 200404 202220 250505 252775 323552 400808 404440 501010 505550 801616 808880 1002020 1011100 1252525 1263875 1603232 1617760 2004040 2022200 2505050 2527750 4008080 4044400 5010100 5055500 6262625 6319375 8016160 8088800 10020200 10111000 12525250 12638750 20040400 20222000 25050500 25277500 31313125 40080800 40444000 50101000 50555000 62626250 100202000 101110000 125252500 200404000 202220000 250505000 501010000 506571211 1002020000 1013142422 2026284844 2532856055 4052569688 5065712110 8105139376 10131424220 12664280275 16210278752 20262848440 25328560550 40525696880 50657121100 63321401375 81051393760 101314242200 126642802750 202628484400 253285605500 316607006875 405256968800 506571211000 633214013750 1013142422000 1266428027500 2026284844000 2532856055000 5065712110000 10131424220000