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1001230021020 = 223573892925601
BaseRepresentation
bin11101001000111011111…
…01011011000110011100
310112201100102220222010010
432210131331123012130
5112401004341133040
62043543030043220
7132223261521105
oct16443575330634
93481312828103
101001230021020
1135668a276999
12142065aa9510
1373553071728
143666194d3ac
151b09e731e80
hexe91df5b19c

1001230021020 has 96 divisors (see below), whose sum is σ = 2842276691520. Its totient is φ = 263297433600.

The previous prime is 1001230020971. The next prime is 1001230021021. The reversal of 1001230021020 is 201200321001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1001230020987 and 1001230021005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001230021021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39096220 + ... + 39121820.

It is an arithmetic number, because the mean of its divisors is an integer number (29607048870).

Almost surely, 21001230021020 is an apocalyptic number.

1001230021020 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 1001230021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421138345760).

1001230021020 is an abundant number, since it is smaller than the sum of its proper divisors (1841046670500).

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

1001230021020 is a wasteful number, since it uses less digits than its factorization.

1001230021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34615 (or 34613 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1001230021020 its reverse (201200321001), we get a palindrome (1202430342021).

The spelling of 1001230021020 in words is "one trillion, one billion, two hundred thirty million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 8929 17858 25601 26787 35716 44645 51202 53574 76803 89290 102404 107148 128005 133935 153606 178580 256010 267870 307212 384015 512020 535740 651817 768030 1303634 1536060 1868873 1955451 2607268 3259085 3737746 3910902 5606619 6518170 7475492 7821804 9344365 9777255 11213238 13036340 18688730 19554510 22426476 28033095 37377460 39109020 56066190 112132380 228591329 457182658 685773987 914365316 1142956645 1371547974 2285913290 2743095948 3428869935 4571826580 6857739870 13715479740 16687167017 33374334034 50061501051 66748668068 83435835085 100123002102 166871670170 200246004204 250307505255 333743340340 500615010510 1001230021020