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2100303114 = 2371317713187
BaseRepresentation
bin111110100110000…
…0001010100001010
312102101002110020020
41331030001110022
513300134144424
6544224441310
7103022165460
oct17514012412
95371073206
102100303114
119886258a8
124a7479236
13276195b10
1415cd28830
15c45c7079
hex7d30150a

2100303114 has 128 divisors (see below), whose sum is σ = 5552934912. Its totient is φ = 513838080.

The previous prime is 2100303109. The next prime is 2100303143. The reversal of 2100303114 is 4113030012.

It is a super-2 number, since 2×21003031142 = 8822546341356193992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2100303093 and 2100303102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 657429 + ... + 660615.

It is an arithmetic number, because the mean of its divisors is an integer number (43382304).

Almost surely, 22100303114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100303114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776467456).

2100303114 is an abundant number, since it is smaller than the sum of its proper divisors (3452631798).

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

2100303114 is a wasteful number, since it uses less digits than its factorization.

2100303114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2100303114 is about 45829.0640751041. The cubic root of 2100303114 is about 1280.6407749556.

Adding to 2100303114 its reverse (4113030012), we get a palindrome (6213333126).

The spelling of 2100303114 in words is "two billion, one hundred million, three hundred three thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 71 78 91 102 119 142 182 213 221 238 273 357 426 442 497 546 663 714 923 994 1207 1326 1491 1547 1846 2414 2769 2982 3094 3187 3621 4641 5538 6374 6461 7242 8449 9282 9561 12922 15691 16898 19122 19383 22309 25347 31382 38766 41431 44618 47073 50694 54179 66927 82862 94146 108358 109837 124293 133854 162537 219674 226277 248586 290017 325074 329511 379253 452554 580034 659022 678831 704327 758506 870051 1137759 1357662 1408654 1583939 1740102 2112981 2275518 2941601 3167878 3846709 4225962 4751817 4930289 5883202 7693418 8824803 9503634 9860578 11540127 14790867 17649606 20591207 23080254 26926963 29581734 41182414 50007217 53853926 61773621 80780889 100014434 123547242 150021651 161561778 300043302 350050519 700101038 1050151557 2100303114