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2101003320 = 2335132834759
BaseRepresentation
bin111110100111010…
…1100010000111000
312102102102000201210
41331032230100320
513300324101240
6544251443120
7103031143053
oct17516542070
95372360653
102101003320
11988a63989
124a77564a0
1327637c740
1415d06ba9a
15c46b4780
hex7d3ac438

2101003320 has 128 divisors (see below), whose sum is σ = 6813273600. Its totient is φ = 515234304.

The previous prime is 2101003277. The next prime is 2101003321. The reversal of 2101003320 is 233001012.

It is a happy number.

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 = 2101003296 and 2101003305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101003321) 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, 439101 + ... + 443859.

It is an arithmetic number, because the mean of its divisors is an integer number (53228700).

Almost surely, 22101003320 is an apocalyptic number.

2101003320 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 2101003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406636800).

2101003320 is an abundant number, since it is smaller than the sum of its proper divisors (4712270280).

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

2101003320 is a wasteful number, since it uses less digits than its factorization.

2101003320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5069 (or 5065 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2101003320 is about 45836.7027609971. The cubic root of 2101003320 is about 1280.7830738960.

Adding to 2101003320 its reverse (233001012), we get a palindrome (2334004332).

The spelling of 2101003320 in words is "two billion, one hundred one million, three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 283 312 390 520 566 780 849 1132 1415 1560 1698 2264 2830 3396 3679 4245 4759 5660 6792 7358 8490 9518 11037 11320 14277 14716 16980 18395 19036 22074 23795 28554 29432 33960 36790 38072 44148 47590 55185 57108 61867 71385 73580 88296 95180 110370 114216 123734 142770 147160 185601 190360 220740 247468 285540 309335 371202 441480 494936 571080 618670 742404 928005 1237340 1346797 1484808 1856010 2474680 2693594 3712020 4040391 5387188 6733985 7424040 8080782 10774376 13467970 16161564 17508361 20201955 26935940 32323128 35016722 40403910 52525083 53871880 70033444 80807820 87541805 105050166 140066888 161615640 175083610 210100332 262625415 350167220 420200664 525250830 700334440 1050501660 2101003320