Search a number
-
+
2021120110000 = 2454863234197
BaseRepresentation
bin11101011010010100001…
…001010110110110110000
321011012212100001121021101
4131122110021112312300
5231103223222010000
64144253442134144
7266010145322545
oct35322411266660
97135770047241
102021120110000
1170a174680052
12287859051354
1311878b011194
146db7382abcc
1537892252e6a
hex1d694256db0

2021120110000 has 100 divisors (see below), whose sum is σ = 4899024960192. Its totient is φ = 807507808000.

The previous prime is 2021120109979. The next prime is 2021120110001. The reversal of 2021120110000 is 110211202.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2021120110001) 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, 8512902 + ... + 8747098.

Almost surely, 22021120110000 is an apocalyptic number.

2021120110000 is a gapful number since it is divisible by the number (20) 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 2021120110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449512480096).

2021120110000 is an abundant number, since it is smaller than the sum of its proper divisors (2877904850192).

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

2021120110000 is an equidigital number, since it uses as much as digits as its factorization.

2021120110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235088 (or 235067 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2021120110000 its reverse (110211202), we get a palindrome (2021230321202).

The spelling of 2021120110000 in words is "two trillion, twenty-one billion, one hundred twenty million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 863 1000 1250 1726 2000 2500 3452 4315 5000 6904 8630 10000 13808 17260 21575 34520 43150 69040 86300 107875 172600 215750 234197 345200 431500 468394 539375 863000 936788 1078750 1170985 1726000 1873576 2157500 2341970 3747152 4315000 4683940 5854925 8630000 9367880 11709850 18735760 23419700 29274625 46839400 58549250 93678800 117098500 146373125 202112011 234197000 292746250 404224022 468394000 585492500 808448044 1010560055 1170985000 1616896088 2021120110 2341970000 3233792176 4042240220 5052800275 8084480440 10105600550 16168960880 20211201100 25264001375 40422402200 50528002750 80844804400 101056005500 126320006875 202112011000 252640013750 404224022000 505280027500 1010560055000 2021120110000