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130201031430 = 232523233269953
BaseRepresentation
bin111100101000010010…
…1100001001100000110
3110110001221012200220100
41321100211201030012
54113122431001210
6135451415544530
712256334335551
oct1712045411406
9413057180810
10130201031430
11502440a7008
122129808b146
13c37c730442
146432079698
1535c08235c0
hex1e50961306

130201031430 has 96 divisors (see below), whose sum is σ = 354758429376. Its totient is φ = 33068040192.

The previous prime is 130201031419. The next prime is 130201031447. The reversal of 130201031430 is 34130102031.

130201031430 is a `hidden beast` number, since 1 + 3 + 0 + 201 + 0 + 31 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 347334 + ... + 617286.

It is an arithmetic number, because the mean of its divisors is an integer number (3695400306).

Almost surely, 2130201031430 is an apocalyptic number.

130201031430 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 130201031430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177379214688).

130201031430 is an abundant number, since it is smaller than the sum of its proper divisors (224557397946).

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

130201031430 is a wasteful number, since it uses less digits than its factorization.

130201031430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270222 (or 270219 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130201031430 its reverse (34130102031), we get a palindrome (164331133461).

The spelling of 130201031430 in words is "one hundred thirty billion, two hundred one million, thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 233 345 414 466 690 699 1035 1165 1398 2070 2097 2330 3495 4194 5359 6990 10485 10718 16077 20970 26795 32154 48231 53590 80385 96462 160770 241155 269953 482310 539906 809859 1349765 1619718 2429577 2699530 4049295 4859154 6208919 8098590 12147885 12417838 18626757 24295770 31044595 37253514 55880271 62089190 62899049 93133785 111760542 125798098 186267570 188697147 279401355 314495245 377394294 558802710 566091441 628990490 943485735 1132182882 1446678127 1886971470 2830457205 2893356254 4340034381 5660914410 7233390635 8680068762 13020103143 14466781270 21700171905 26040206286 43400343810 65100515715 130201031430