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130201210332 = 223229434436547
BaseRepresentation
bin111100101000010011…
…0001100110111011100
3110110001221112210022100
41321100212030313130
54113123002212312
6135451423445100
712256336012254
oct1712046146734
9413057483270
10130201210332
1150244209466
1221298156790
13c37c7939bb
1464320c4964
1535c085b5dc
hex1e5098cddc

130201210332 has 144 divisors (see below), whose sum is σ = 349226317440. Its totient is φ = 40830701184.

The previous prime is 130201210319. The next prime is 130201210367. The reversal of 130201210332 is 233012102031.

130201210332 is a `hidden beast` number, since 130 + 201 + 2 + 1 + 0 + 332 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19883883 + ... + 19890429.

It is an arithmetic number, because the mean of its divisors is an integer number (2425182760).

Almost surely, 2130201210332 is an apocalyptic number.

130201210332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130201210332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174613158720).

130201210332 is an abundant number, since it is smaller than the sum of its proper divisors (219025107108).

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

130201210332 is a wasteful number, since it uses less digits than its factorization.

130201210332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7072 (or 7067 counting only the distinct ones).

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

Adding to 130201210332 its reverse (233012102031), we get a palindrome (363213312363).

The spelling of 130201210332 in words is "one hundred thirty billion, two hundred one million, two hundred ten thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 43 58 86 87 116 129 172 174 258 261 348 387 443 516 522 774 886 1044 1247 1329 1548 1772 2494 2658 3741 3987 4988 5316 6547 7482 7974 11223 12847 13094 14964 15948 19049 19641 22446 25694 26188 38098 38541 39282 44892 51388 57147 58923 76196 77082 78564 114294 115623 117846 154164 171441 189863 228588 231246 235692 281521 342882 379726 462492 552421 563042 569589 685764 759452 844563 1104842 1126084 1139178 1657263 1689126 1708767 2209684 2278356 2533689 2900321 3314526 3378252 3417534 4971789 5067378 5800642 6629052 6835068 8164109 8700963 9943578 10134756 11601284 16328218 17401926 19887156 24492327 26102889 32656436 34803852 48984654 52205778 73476981 84109309 97969308 104411556 124713803 146953962 168218618 249427606 252327927 293907924 336437236 374141409 498855212 504655854 748282818 756983781 1009311708 1122424227 1496565636 1513967562 2244848454 3027935124 3616700287 4489696908 7233400574 10850100861 14466801148 21700201722 32550302583 43400403444 65100605166 130201210332