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130201103310 = 235172834192153
BaseRepresentation
bin111100101000010010…
…1110010101111001110
3110110001221100100111120
41321100211302233032
54113122440301220
6135451421301410
712256335055245
oct1712045625716
9413057310446
10130201103310
1150244146013
1221298104866
13c37c757085
14643209795c
1535c0839a40
hex1e50972bce

130201103310 has 128 divisors (see below), whose sum is σ = 332980139520. Its totient is φ = 32469651456.

The previous prime is 130201103309. The next prime is 130201103311. The reversal of 130201103310 is 13301102031.

It is an interprime number because it is at equal distance from previous prime (130201103309) and next prime (130201103311).

It is a super-2 number, since 2×1302011033102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130201103310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130201103311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60473194 + ... + 60475346.

It is an arithmetic number, because the mean of its divisors is an integer number (2601407340).

Almost surely, 2130201103310 is an apocalyptic number.

130201103310 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 130201103310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166490069760).

130201103310 is an abundant number, since it is smaller than the sum of its proper divisors (202779036210).

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

130201103310 is a wasteful number, since it uses less digits than its factorization.

130201103310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 130201103310 its reverse (13301102031), we get a palindrome (143502205341).

The spelling of 130201103310 in words is "one hundred thirty billion, two hundred one million, one hundred three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 283 419 510 566 838 849 1257 1415 1698 2095 2153 2514 2830 4190 4245 4306 4811 6285 6459 7123 8490 9622 10765 12570 12918 14246 14433 21369 21530 24055 28866 32295 35615 36601 42738 48110 64590 71230 72165 73202 106845 109803 118577 144330 183005 213690 219606 237154 355731 366010 549015 592885 609299 711462 902107 1098030 1185770 1218598 1778655 1804214 1827897 2015809 2706321 3046495 3557310 3655794 4031618 4510535 5412642 6047427 6092990 9021070 9139485 10079045 10358083 12094854 13531605 15335819 18278970 20158090 20716166 27063210 30237135 30671638 31074249 46007457 51790415 60474270 62148498 76679095 92014914 103580830 153358190 155371245 230037285 255296281 310742490 460074570 510592562 765888843 1276481405 1531777686 2552962810 3829444215 4340036777 7658888430 8680073554 13020110331 21700183885 26040220662 43400367770 65100551655 130201103310