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2100120330 = 2357111753479
BaseRepresentation
bin111110100101101…
…0100101100001010
312102100202011111110
41331023110230022
513300112322310
6544220511150
7103020504540
oct17513245412
95370664443
102100120330
11988510540
124a73ab4b6
13276130869
1415ccbbd90
15c458cd20
hex7d2d4b0a

2100120330 has 128 divisors (see below), whose sum is σ = 6653767680. Its totient is φ = 410711040.

The previous prime is 2100120329. The next prime is 2100120349. The reversal of 2100120330 is 330210012.

It is a happy number.

2100120330 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 12531 + ... + 66009.

It is an arithmetic number, because the mean of its divisors is an integer number (51982560).

Almost surely, 22100120330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100120330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326883840).

2100120330 is an abundant number, since it is smaller than the sum of its proper divisors (4553647350).

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

2100120330 is a wasteful number, since it uses less digits than its factorization.

2100120330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53524.

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

The square root of 2100120330 is about 45827.0698386881. The cubic root of 2100120330 is about 1280.6036235824.

Adding to 2100120330 its reverse (330210012), we get a palindrome (2430330342).

The spelling of 2100120330 in words is "two billion, one hundred million, one hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 17 21 22 30 33 34 35 42 51 55 66 70 77 85 102 105 110 119 154 165 170 187 210 231 238 255 330 357 374 385 462 510 561 595 714 770 935 1122 1155 1190 1309 1785 1870 2310 2618 2805 3570 3927 5610 6545 7854 13090 19635 39270 53479 106958 160437 267395 320874 374353 534790 588269 748706 802185 909143 1123059 1176538 1604370 1764807 1818286 1871765 2246118 2727429 2941345 3529614 3743530 4117883 4545715 5454858 5615295 5882690 6364001 8235766 8824035 9091430 10000573 11230590 12353649 12728002 13637145 17648070 19092003 20001146 20589415 24707298 27274290 30001719 31820005 38184006 41178830 50002865 60003438 61768245 63640010 70004011 95460015 100005730 123536490 140008022 150008595 190920030 210012033 300017190 350020055 420024066 700040110 1050060165 2100120330