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2102323720 = 235737307661
BaseRepresentation
bin111110101001110…
…1110101000001000
312102111220002222111
41331103232220020
513301143324340
6544340032104
7103045312450
oct17523565010
95374802874
102102323720
11989785a22
124a8092634
13276722743
1415d2d2d60
15c4875aea
hex7d4eea08

2102323720 has 128 divisors (see below), whose sum is σ = 5578594560. Its totient is φ = 697973760.

The previous prime is 2102323711. The next prime is 2102323733. The reversal of 2102323720 is 273232012.

It is a junction number, because it is equal to n+sod(n) for n = 2102323691 and 2102323700.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3180190 + ... + 3180850.

It is an arithmetic number, because the mean of its divisors is an integer number (43582770).

Almost surely, 22102323720 is an apocalyptic number.

2102323720 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 2102323720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789297280).

2102323720 is an abundant number, since it is smaller than the sum of its proper divisors (3476270840).

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

2102323720 is a wasteful number, since it uses less digits than its factorization.

2102323720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 2102323720 is about 45851.1038035073. The cubic root of 2102323720 is about 1281.0513253872.

Adding to 2102323720 its reverse (273232012), we get a palindrome (2375555732).

The spelling of 2102323720 in words is "two billion, one hundred two million, three hundred twenty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 307 370 518 614 661 740 1036 1228 1295 1322 1480 1535 2072 2149 2456 2590 2644 3070 3305 4298 4627 5180 5288 6140 6610 8596 9254 10360 10745 11359 12280 13220 17192 18508 21490 22718 23135 24457 26440 37016 42980 45436 46270 48914 56795 79513 85960 90872 92540 97828 113590 122285 159026 171199 185080 195656 202927 227180 244570 318052 342398 397565 405854 454360 489140 636104 684796 795130 811708 855995 978280 1014635 1369592 1420489 1590260 1623416 1711990 2029270 2840978 3180520 3423980 4058540 5681956 6847960 7102445 7508299 8117080 11363912 14204890 15016598 28409780 30033196 37541495 52558093 56819560 60066392 75082990 105116186 150165980 210232372 262790465 300331960 420464744 525580930 1051161860 2102323720