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12102002010 = 23257149128923
BaseRepresentation
bin10110100010101010…
…11110010101011010
31011020102001101210200
423101111132111122
5144241103031020
65320511523030
7605620214460
oct132125362532
934212041720
1012102002010
1151502a025a
122418b29476
1311ab329647
1482b3b0830
154ac6bd590
hex2d155e55a

12102002010 has 96 divisors (see below), whose sum is σ = 36201859200. Its totient is φ = 2747585664.

The previous prime is 12102002009. The next prime is 12102002047. The reversal of 12102002010 is 1020020121.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12102001983 and 12102002001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29409 + ... + 158331.

It is an arithmetic number, because the mean of its divisors is an integer number (377102700).

Almost surely, 212102002010 is an apocalyptic number.

12102002010 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 12102002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18100929600).

12102002010 is an abundant number, since it is smaller than the sum of its proper divisors (24099857190).

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

12102002010 is a wasteful number, since it uses less digits than its factorization.

12102002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129092 (or 129089 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12102002010 its reverse (1020020121), we get a palindrome (13122022131).

The spelling of 12102002010 in words is "twelve billion, one hundred two million, two thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 149 210 298 315 447 630 745 894 1043 1341 1490 2086 2235 2682 3129 4470 5215 6258 6705 9387 10430 13410 15645 18774 31290 46935 93870 128923 257846 386769 644615 773538 902461 1160307 1289230 1804922 1933845 2320614 2707383 3867690 4512305 5414766 5801535 8122149 9024610 11603070 13536915 16244298 19209527 27073830 38419054 40610745 57628581 81221490 96047635 115257162 134466689 172885743 192095270 268933378 288142905 345771486 403400067 576285810 672333445 806800134 864428715 1210200201 1344666890 1728857430 2017000335 2420400402 4034000670 6051001005 12102002010