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130210221132 = 223241877100591
BaseRepresentation
bin111100101000100100…
…0100100110001001100
3110110002120111120210200
41321101020210301030
54113132304034012
6135452344533500
712256505421645
oct1712110446114
9413076446720
10130210221132
1150249303402
122129b181290
13c3815ca234
14643338c6cc
1535c153b3dc
hex1e51224c4c

130210221132 has 72 divisors (see below), whose sum is σ = 337558183872. Its totient is φ = 42296083200.

The previous prime is 130210221101. The next prime is 130210221157. The reversal of 130210221132 is 231122012031.

130210221132 is a `hidden beast` number, since 1 + 302 + 10 + 221 + 132 = 666.

It is a super-2 number, since 2×1302102211322 (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1244157 + ... + 1344747.

Almost surely, 2130210221132 is an apocalyptic number.

130210221132 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 130210221132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168779091936).

130210221132 is an abundant number, since it is smaller than the sum of its proper divisors (207347962740).

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

130210221132 is a wasteful number, since it uses less digits than its factorization.

130210221132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101519 (or 101514 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 130210221132 its reverse (231122012031), we get a palindrome (361332233163).

The spelling of 130210221132 in words is "one hundred thirty billion, two hundred ten million, two hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 877 1476 1754 2631 3508 5262 7893 10524 15786 31572 35957 71914 100591 107871 143828 201182 215742 301773 323613 402364 431484 603546 647226 905319 1207092 1294452 1810638 3621276 4124231 8248462 12372693 16496924 24745386 37118079 49490772 74236158 88218307 148472316 176436614 264654921 352873228 529309842 793964763 1058619684 1587929526 3175859052 3616950587 7233901174 10850851761 14467802348 21701703522 32552555283 43403407044 65105110566 130210221132