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130211121330 = 23254753580807
BaseRepresentation
bin111100101000100110…
…0000000100010110010
3110110002122012022122100
41321101030000202302
54113133021340310
6135452420121230
712256516161303
oct1712114004262
9413078168570
10130211121330
1150249868774
122129b536216
13c381853bb4
1464335447aa
1535c1667ec0
hex1e513008b2

130211121330 has 96 divisors (see below), whose sum is σ = 352276314624. Its totient is φ = 33342910848.

The previous prime is 130211121301. The next prime is 130211121349. The reversal of 130211121330 is 33121112031.

130211121330 is a `hidden beast` number, since 1 + 3 + 0 + 211 + 121 + 330 = 666.

130211121330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1302111213302 (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 47 ways as a sum of consecutive naturals, for example, 66214 + ... + 514593.

It is an arithmetic number, because the mean of its divisors is an integer number (3669544944).

Almost surely, 2130211121330 is an apocalyptic number.

130211121330 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 130211121330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176138157312).

130211121330 is an abundant number, since it is smaller than the sum of its proper divisors (222065193294).

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

130211121330 is a wasteful number, since it uses less digits than its factorization.

130211121330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580920 (or 580917 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 130211121330 its reverse (33121112031), we get a palindrome (163332233361).

The spelling of 130211121330 in words is "one hundred thirty billion, two hundred eleven million, one hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 53 90 94 106 141 159 235 265 282 318 423 470 477 530 705 795 846 954 1410 1590 2115 2385 2491 4230 4770 4982 7473 12455 14946 22419 24910 37365 44838 74730 112095 224190 580807 1161614 1742421 2904035 3484842 5227263 5808070 8712105 10454526 17424210 26136315 27297929 30782771 52272630 54595858 61565542 81893787 92348313 136489645 153913855 163787574 184696626 245681361 272979290 277044939 307827710 409468935 461741565 491362722 554089878 818937870 923483130 1228406805 1385224695 1446790237 2456813610 2770449390 2893580474 4340370711 7233951185 8680741422 13021112133 14467902370 21701853555 26042224266 43403707110 65105560665 130211121330