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301132013220 = 223253767674851
BaseRepresentation
bin1000110000111001101…
…11011101111010100100
31001210021102000020221200
410120130313131322210
514413204243410340
6350201012042500
730520221610413
oct4303467357244
91053242006850
10301132013220
11106789197615
124a440603430
132252050aa0c
141080961547a
157c76c6a330
hex461cdddea4

301132013220 has 144 divisors (see below), whose sum is σ = 952124392128. Its totient is φ = 76965292800.

The previous prime is 301132013207. The next prime is 301132013239. The reversal of 301132013220 is 22310231103.

301132013220 is a `hidden beast` number, since 30 + 113 + 201 + 322 + 0 = 666.

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 = 301132013193 and 301132013202.

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, 108795 + ... + 783645.

Almost surely, 2301132013220 is an apocalyptic number.

301132013220 is a gapful number since it is divisible by the number (30) 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 301132013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476062196064).

301132013220 is an abundant number, since it is smaller than the sum of its proper divisors (650992378908).

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

301132013220 is a wasteful number, since it uses less digits than its factorization.

301132013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674970 (or 674965 counting only the distinct ones).

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

Adding to 301132013220 its reverse (22310231103), we get a palindrome (323442244323).

The spelling of 301132013220 in words is "three hundred one billion, one hundred thirty-two million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 67 74 90 111 134 148 180 185 201 222 268 333 335 370 402 444 555 603 666 670 740 804 1005 1110 1206 1332 1340 1665 2010 2220 2412 2479 3015 3330 4020 4958 6030 6660 7437 9916 12060 12395 14874 22311 24790 29748 37185 44622 49580 74370 89244 111555 148740 223110 446220 674851 1349702 2024553 2699404 3374255 4049106 6073659 6748510 8098212 10122765 12147318 13497020 20245530 24294636 24969487 30368295 40491060 45215017 49938974 60736590 74908461 90430034 99877948 121473180 124847435 135645051 149816922 180860068 224725383 226075085 249694870 271290102 299633844 374542305 406935153 449450766 452150170 499389740 542580204 678225255 749084610 813870306 898901532 904300340 1123626915 1356450510 1498169220 1627740612 1672955629 2034675765 2247253830 2712901020 3345911258 4069351530 4494507660 5018866887 6691822516 8138703060 8364778145 10037733774 15056600661 16729556290 20075467548 25094334435 30113201322 33459112580 50188668870 60226402644 75283003305 100377337740 150566006610 301132013220