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12100301010 = 23257131146617
BaseRepresentation
bin10110100010011101…
…11111000011010010
31011020021211222110200
423101032333003102
5144240134113020
65320411240030
7605566601340
oct132116770322
934207758420
1012100301010
11514a339276
122418449016
1311aab82335
1482b08a990
154ac484590
hex2d13bf0d2

12100301010 has 96 divisors (see below), whose sum is σ = 36229894272. Its totient is φ = 2744651520.

The previous prime is 12100300999. The next prime is 12100301027. The reversal of 12100301010 is 1010300121.

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

It is a junction number, because it is equal to n+sod(n) for n = 12100300983 and 12100301001.

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, 9222 + ... + 155838.

It is an arithmetic number, because the mean of its divisors is an integer number (377394732).

Almost surely, 212100301010 is an apocalyptic number.

12100301010 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 12100301010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18114947136).

12100301010 is an abundant number, since it is smaller than the sum of its proper divisors (24129593262).

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

12100301010 is a wasteful number, since it uses less digits than its factorization.

12100301010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146768 (or 146765 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 12100301010 its reverse (1010300121), we get a palindrome (13110601131).

The spelling of 12100301010 in words is "twelve billion, one hundred million, three hundred one thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 131 210 262 315 393 630 655 786 917 1179 1310 1834 1965 2358 2751 3930 4585 5502 5895 8253 9170 11790 13755 16506 27510 41265 82530 146617 293234 439851 733085 879702 1026319 1319553 1466170 2052638 2199255 2639106 3078957 4398510 5131595 6157914 6597765 9236871 10263190 13195530 15394785 18473742 19206827 30789570 38413654 46184355 57620481 92368710 96034135 115240962 134447789 172861443 192068270 268895578 288102405 345722886 403343367 576204810 672238945 806686734 864307215 1210030101 1344477890 1728614430 2016716835 2420060202 4033433670 6050150505 12100301010