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1001123420 = 2251143971091
BaseRepresentation
bin111011101010111…
…110111001011100
32120202210100011012
4323222332321130
54022241422140
6243201314352
733544260113
oct7352767134
92522710135
101001123420
11474120930
1223b3359b8
1312c54162b
1496d60c7a
155cd54265
hex3babee5c

1001123420 has 96 divisors (see below), whose sum is σ = 2373186816. Its totient is φ = 351590400.

The previous prime is 1001123407. The next prime is 1001123423. The reversal of 1001123420 is 243211001.

It is a junction number, because it is equal to n+sod(n) for n = 1001123395 and 1001123404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001123423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 917075 + ... + 918165.

It is an arithmetic number, because the mean of its divisors is an integer number (24720696).

Almost surely, 21001123420 is an apocalyptic number.

1001123420 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 1001123420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186593408).

1001123420 is an abundant number, since it is smaller than the sum of its proper divisors (1372063396).

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

1001123420 is a wasteful number, since it uses less digits than its factorization.

1001123420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1001123420 is about 31640.5344455494. The cubic root of 1001123420 is about 1000.3743331905.

Adding to 1001123420 its reverse (243211001), we get a palindrome (1244334421).

It can be divided in two parts, 1001 and 123420, that added together give a palindrome (124421).

The spelling of 1001123420 in words is "one billion, one million, one hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 97 110 172 194 215 220 388 430 473 485 860 946 970 1067 1091 1892 1940 2134 2182 2365 4171 4268 4364 4730 5335 5455 8342 9460 10670 10910 12001 16684 20855 21340 21820 24002 41710 45881 46913 48004 60005 83420 91762 93826 105827 120010 183524 187652 211654 229405 234565 240020 423308 458810 469130 516043 529135 917620 938260 1032086 1058270 1164097 2064172 2116540 2328194 2580215 4550561 4656388 5160430 5820485 9101122 10320860 11640970 18202244 22752805 23281940 45505610 50056171 91011220 100112342 200224684 250280855 500561710 1001123420