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130221111024 = 2433676436997
BaseRepresentation
bin111100101000111001…
…0000111011011110000
3110110010022222211221000
41321101302013123300
54113143101023044
6135453414202000
712260000115624
oct1712162073360
9413108884830
10130221111024
1150254471114
12212a2953300
13c383940b64
1464349c5184
1535c248cd69
hex1e51c876f0

130221111024 has 160 divisors (see below), whose sum is σ = 380005955840. Its totient is φ = 42686569728.

The previous prime is 130221110989. The next prime is 130221111043. The reversal of 130221111024 is 420111122031.

130221111024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 130221110988 and 130221111006.

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 31 ways as a sum of consecutive naturals, for example, 18607494 + ... + 18614490.

It is an arithmetic number, because the mean of its divisors is an integer number (2375037224).

Almost surely, 2130221111024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130221111024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190002977920).

130221111024 is an abundant number, since it is smaller than the sum of its proper divisors (249784844816).

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

130221111024 is a wasteful number, since it uses less digits than its factorization.

130221111024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7724 (or 7712 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 130221111024 its reverse (420111122031), we get a palindrome (550332233055).

The spelling of 130221111024 in words is "one hundred thirty billion, two hundred twenty-one million, one hundred eleven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 108 134 144 201 216 268 402 432 536 603 643 804 1072 1206 1286 1608 1809 1929 2412 2572 3216 3618 3858 4824 5144 5787 6997 7236 7716 9648 10288 11574 13994 14472 15432 17361 20991 23148 27988 28944 30864 34722 41982 43081 46296 55976 62973 69444 83964 86162 92592 111952 125946 129243 138888 167928 172324 188919 251892 258486 277776 335856 344648 377838 387729 468799 503784 516972 689296 755676 775458 937598 1007568 1033944 1163187 1406397 1511352 1550916 1875196 2067888 2326374 2812794 3022704 3101832 3750392 4219191 4499071 4652748 5625588 6203664 7500784 8438382 8998142 9305496 11251176 12657573 13497213 16876764 17996284 18610992 22502352 25315146 26994426 33753528 35992568 40491639 50630292 53988852 67507056 71985136 80983278 101260584 107977704 121474917 161966556 202521168 215955408 242949834 301437757 323933112 485899668 602875514 647866224 904313271 971799336 1205751028 1808626542 1943598672 2411502056 2712939813 3617253084 4823004112 5425879626 7234506168 8138819439 10851759252 14469012336 16277638878 21703518504 32555277756 43407037008 65110555512 130221111024