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131022120208 = 247371731791021
BaseRepresentation
bin111101000000110000…
…1101110010100010000
3110112012011020022221211
41322001201232110100
54121313130321313
6140105110425504
712315564434440
oct1720141562420
9415164208854
10131022120208
1150625631181
1221487062294
13c4808881a5
1464ad134120
15361c963e3d
hex1e8186e510

131022120208 has 160 divisors (see below), whose sum is σ = 301653192960. Its totient is φ = 53962536960.

The previous prime is 131022120191. The next prime is 131022120209. The reversal of 131022120208 is 802021220131.

It is not an unprimeable number, because it can be changed into a prime (131022120209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128326738 + ... + 128327758.

It is an arithmetic number, because the mean of its divisors is an integer number (1885332456).

Almost surely, 2131022120208 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 131022120208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150826596480).

131022120208 is an abundant number, since it is smaller than the sum of its proper divisors (170631072752).

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

131022120208 is a wasteful number, since it uses less digits than its factorization.

131022120208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 131022120208 its reverse (802021220131), we get a palindrome (933043340339).

The spelling of 131022120208 in words is "one hundred thirty-one billion, twenty-two million, one hundred twenty thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 173 179 259 296 346 358 518 592 692 716 1021 1036 1211 1253 1384 1432 2042 2072 2422 2506 2768 2864 4084 4144 4844 5012 6401 6623 7147 8168 9688 10024 12802 13246 14294 16336 19376 20048 25604 26492 28588 30967 37777 44807 46361 51208 52984 57176 61934 75554 89614 92722 102416 105968 114352 123868 151108 176633 179228 182759 185444 216769 247736 264439 302216 353266 358456 365518 370888 433538 495472 528878 604432 706532 716912 731036 741776 867076 1057756 1145779 1236431 1279313 1413064 1462072 1734152 2115512 2291558 2472862 2558626 2826128 2924144 3468304 4231024 4583116 4945724 5117252 6535421 6762083 8020453 9166232 9891448 10234504 13070842 13524166 16040906 18332464 19782896 20469008 26141684 27048332 31617307 32081812 45747947 47334581 52283368 54096664 63234614 64163624 91495894 94669162 104566736 108193328 126469228 128327248 182991788 189338324 221321149 252938456 365983576 378676648 442642298 505876912 731967152 757353296 885284596 1169840359 1770569192 2339680718 3541138384 4679361436 8188882513 9358722872 16377765026 18717445744 32755530052 65511060104 131022120208