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14310000210 = 235113111312379
BaseRepresentation
bin11010101001111000…
…10100011001010010
31100221021210022220210
431110330110121102
5213301330001320
610323544544550
71014420665142
oct152474243122
940837708823
1014310000210
116083692a60
122934482156
1314708cb65c
1499a730922
1558b46a0e0
hex354f14652

14310000210 has 128 divisors (see below), whose sum is σ = 39020175360. Its totient is φ = 3327206400.

The previous prime is 14310000193. The next prime is 14310000227. The reversal of 14310000210 is 1200001341.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14310000193) and next prime (14310000227).

It is a super-2 number, since 2×143100002102 (a number of 21 digits) contains 22 as substring.

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, 1149801 + ... + 1162179.

It is an arithmetic number, because the mean of its divisors is an integer number (304845120).

Almost surely, 214310000210 is an apocalyptic number.

14310000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14310000210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19510087680).

14310000210 is an abundant number, since it is smaller than the sum of its proper divisors (24710175150).

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

14310000210 is a wasteful number, since it uses less digits than its factorization.

14310000210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12544.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 14310000210 its reverse (1200001341), we get a palindrome (15510001551).

The spelling of 14310000210 in words is "fourteen billion, three hundred ten million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 113 155 165 186 226 310 330 339 341 465 565 678 682 930 1023 1130 1243 1695 1705 2046 2486 3390 3410 3503 3729 5115 6215 7006 7458 10230 10509 12379 12430 17515 18645 21018 24758 35030 37137 37290 38533 52545 61895 74274 77066 105090 115599 123790 136169 185685 192665 231198 272338 371370 383749 385330 408507 577995 680845 767498 817014 1151247 1155990 1361690 1398827 1918745 2042535 2302494 2797654 3837490 4085070 4196481 4221239 5756235 6994135 8392962 8442478 11512470 12663717 13988270 15387097 20982405 21106195 25327434 30774194 41964810 42212390 43363637 46161291 63318585 76935485 86727274 92322582 126637170 130090911 153870970 216818185 230806455 260181822 433636370 461612910 477000007 650454555 954000014 1300909110 1431000021 2385000035 2862000042 4770000070 7155000105 14310000210