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2001123320 = 235719509739
BaseRepresentation
bin111011101000110…
…1011011111111000
312011110110121010112
41313101223133320
513044241421240
6530323003452
7100406160530
oct16721533770
95143417115
102001123320
11937644629
1247a209588
1325b77b751
1414daac4c0
15baa35665
hex7746b7f8

2001123320 has 128 divisors (see below), whose sum is σ = 5434560000. Its totient is φ = 647834112.

The previous prime is 2001123307. The next prime is 2001123323. The reversal of 2001123320 is 233211002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2001123295 and 2001123304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001123323) 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, 2707511 + ... + 2708249.

It is an arithmetic number, because the mean of its divisors is an integer number (42457500).

Almost surely, 22001123320 is an apocalyptic number.

2001123320 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 2001123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717280000).

2001123320 is an abundant number, since it is smaller than the sum of its proper divisors (3433436680).

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

2001123320 is a wasteful number, since it uses less digits than its factorization.

2001123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2001123320 is about 44733.9168864073. The cubic root of 2001123320 is about 1260.1568881657.

Adding to 2001123320 its reverse (233211002), we get a palindrome (2234334322).

The spelling of 2001123320 in words is "two billion, one million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 509 532 665 739 760 1018 1064 1330 1478 2036 2545 2660 2956 3563 3695 4072 5090 5173 5320 5912 7126 7390 9671 10180 10346 14041 14252 14780 17815 19342 20360 20692 25865 28082 28504 29560 35630 38684 41384 48355 51730 56164 67697 70205 71260 77368 96710 98287 103460 112328 135394 140410 142520 193420 196574 206920 270788 280820 338485 376151 386840 393148 491435 541576 561640 676970 752302 786296 982870 1353940 1504604 1880755 1965740 2633057 2707880 3009208 3761510 3931480 5266114 7146869 7523020 10532228 13165285 14293738 15046040 21064456 26330570 28587476 35734345 50028083 52661140 57174952 71468690 100056166 105322280 142937380 200112332 250140415 285874760 400224664 500280830 1000561660 2001123320