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2106720330 = 2351113683719
BaseRepresentation
bin111110110010010…
…0000000001001010
312102211011110222220
41331210200001022
513303310022310
6545014154510
7103130553531
oct17544400112
95384143886
102106720330
11991209190
124a9652a36
132776019a0
1415db19318
15c4e43670
hex7d92004a

2106720330 has 128 divisors (see below), whose sum is σ = 5957038080. Its totient is φ = 470088960.

The previous prime is 2106720311. The next prime is 2106720349. The reversal of 2106720330 is 330276012.

It is an interprime number because it is at equal distance from previous prime (2106720311) and next prime (2106720349).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2106720330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2929711 + ... + 2930429.

It is an arithmetic number, because the mean of its divisors is an integer number (46539360).

Almost surely, 22106720330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106720330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978519040).

2106720330 is an abundant number, since it is smaller than the sum of its proper divisors (3850317750).

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

2106720330 is a wasteful number, since it uses less digits than its factorization.

2106720330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436.

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 2106720330 is about 45899.0231922206. The cubic root of 2106720330 is about 1281.9437286023.

Adding to 2106720330 its reverse (330276012), we get a palindrome (2436996342).

The spelling of 2106720330 in words is "two billion, one hundred six million, seven hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 683 715 719 858 1366 1430 1438 2049 2145 2157 3415 3595 4098 4290 4314 6830 7190 7513 7909 8879 9347 10245 10785 15026 15818 17758 18694 20490 21570 22539 23727 26637 28041 37565 39545 44395 45078 46735 47454 53274 56082 75130 79090 88790 93470 97669 102817 112695 118635 133185 140205 195338 205634 225390 237270 266370 280410 293007 308451 488345 491077 514085 586014 616902 976690 982154 1028170 1465035 1473231 1542255 2455385 2930070 2946462 3084510 4910770 5401847 6384001 7366155 10803694 12768002 14732310 16205541 19152003 27009235 31920005 32411082 38304006 54018470 63840010 70224011 81027705 95760015 140448022 162055410 191520030 210672033 351120055 421344066 702240110 1053360165 2106720330