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130221422010 = 23356110178283
BaseRepresentation
bin111100101000111001…
…1010011010110111010
3110110010100120122112000
41321101303103112322
54113143141001020
6135453425001430
712260002552401
oct1712163232672
9413110518460
10130221422010
1150254663829
12212a2a83276
13c383a1c584
146434a66638
1535c2500090
hex1e51cd35ba

130221422010 has 128 divisors (see below), whose sum is σ = 356448971520. Its totient is φ = 33817824000.

The previous prime is 130221421951. The next prime is 130221422047. The reversal of 130221422010 is 10224122031.

It is a happy number.

130221422010 is a `hidden beast` number, since 13 + 0 + 221 + 422 + 0 + 10 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1624329 + ... + 1702611.

It is an arithmetic number, because the mean of its divisors is an integer number (2784757590).

Almost surely, 2130221422010 is an apocalyptic number.

130221422010 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 130221422010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178224485760).

130221422010 is an abundant number, since it is smaller than the sum of its proper divisors (226227549510).

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

130221422010 is a wasteful number, since it uses less digits than its factorization.

130221422010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78461 (or 78455 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 130221422010 its reverse (10224122031), we get a palindrome (140445544041).

The spelling of 130221422010 in words is "one hundred thirty billion, two hundred twenty-one million, four hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 90 101 122 135 183 202 270 303 305 366 505 549 606 610 909 915 1010 1098 1515 1647 1818 1830 2727 2745 3030 3294 4545 5454 5490 6161 8235 9090 12322 13635 16470 18483 27270 30805 36966 55449 61610 78283 92415 110898 156566 166347 184830 234849 277245 332694 391415 469698 554490 704547 782830 831735 1174245 1409094 1663470 2113641 2348490 3522735 4227282 4775263 7045470 7906583 9550526 10568205 14325789 15813166 21136410 23719749 23876315 28651578 39532915 42977367 47439498 47752630 71159247 71628945 79065830 85954734 118598745 128932101 142318494 143257890 213477741 214886835 237197490 257864202 355796235 426955482 429773670 482301563 644660505 711592470 964603126 1067388705 1289321010 1446904689 2134777410 2411507815 2893809378 4340714067 4823015630 7234523445 8681428134 13022142201 14469046890 21703570335 26044284402 43407140670 65110711005 130221422010