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2100334230 = 2325372332707
BaseRepresentation
bin111110100110000…
…1000111010010110
312102101011000220200
41331030020322112
513300141143410
6544225241330
7103022355261
oct17514107226
95371130820
102100334230
11988647215
124a7493246
132761a7027
1415cd35cd8
15c45d13c0
hex7d308e96

2100334230 has 96 divisors (see below), whose sum is σ = 5634611424. Its totient is φ = 542412288.

The previous prime is 2100334213. The next prime is 2100334237. The reversal of 2100334230 is 324330012.

2100334230 is a `hidden beast` number, since 2 + 100 + 334 + 230 = 666.

2100334230 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21003342302 = 8822807755419385800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100334237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 774537 + ... + 777243.

It is an arithmetic number, because the mean of its divisors is an integer number (58693869).

Almost surely, 22100334230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100334230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817305712).

2100334230 is an abundant number, since it is smaller than the sum of its proper divisors (3534277194).

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

2100334230 is a wasteful number, since it uses less digits than its factorization.

2100334230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2990 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2100334230 is about 45829.4035527411. The cubic root of 2100334230 is about 1280.6470991573.

Adding to 2100334230 its reverse (324330012), we get a palindrome (2424664242).

The spelling of 2100334230 in words is "two billion, one hundred million, three hundred thirty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 233 333 370 466 555 666 699 1110 1165 1398 1665 2097 2330 2707 3330 3495 4194 5414 6990 8121 8621 10485 13535 16242 17242 20970 24363 25863 27070 40605 43105 48726 51726 77589 81210 86210 100159 121815 129315 155178 200318 243630 258630 300477 387945 500795 600954 630731 775890 901431 1001590 1261462 1502385 1802862 1892193 3004770 3153655 3784386 4507155 5676579 6307310 9014310 9460965 11353158 18921930 23337047 28382895 46674094 56765790 70011141 116685235 140022282 210033423 233370470 350055705 420066846 700111410 1050167115 2100334230