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2102144310 = 2325710133037
BaseRepresentation
bin111110101001100…
…0010110100110110
312102111112222212200
41331103002310312
513301122104220
6544332125330
7103043634420
oct17523026466
95374488780
102102144310
11989673152
124a8006846
1327668bb96
1415d287810
15c483c890
hex7d4c2d36

2102144310 has 96 divisors (see below), whose sum is σ = 6308407872. Its totient is φ = 475718400.

The previous prime is 2102144269. The next prime is 2102144321. The reversal of 2102144310 is 134412012.

2102144310 is a `hidden beast` number, since 21 + 0 + 214 + 431 + 0 = 666.

It is a super-2 number, since 2×21021443102 = 8838021400130752200, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47112 + ... + 80148.

It is an arithmetic number, because the mean of its divisors is an integer number (65712582).

Almost surely, 22102144310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102144310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154203936).

2102144310 is an abundant number, since it is smaller than the sum of its proper divisors (4206263562).

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

2102144310 is a wasteful number, since it uses less digits than its factorization.

2102144310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33158 (or 33155 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2102144310 is about 45849.1473203156. The cubic root of 2102144310 is about 1281.0148831790.

Adding to 2102144310 its reverse (134412012), we get a palindrome (2236556322).

The spelling of 2102144310 in words is "two billion, one hundred two million, one hundred forty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 101 105 126 202 210 303 315 505 606 630 707 909 1010 1414 1515 1818 2121 3030 3535 4242 4545 6363 7070 9090 10605 12726 21210 31815 33037 63630 66074 99111 165185 198222 231259 297333 330370 462518 495555 594666 693777 991110 1156295 1387554 1486665 2081331 2312590 2973330 3336737 3468885 4162662 6673474 6937770 10010211 10406655 16683685 20020422 20813310 23357159 30030633 33367370 46714318 50051055 60061266 70071477 100102110 116785795 140142954 150153165 210214431 233571590 300306330 350357385 420428862 700714770 1051072155 2102144310