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131222123010 = 23451131475081
BaseRepresentation
bin111101000110101110…
…0101011001000000010
3110112201002120112020000
41322031130223020002
54122220330414020
6140141013300430
712323543433126
oct1721534531002
9415632515200
10131222123010
1150718516250
1221522034716
13c4b3143844
1464cb917586
1536302be090
hex1e8d72b202

131222123010 has 160 divisors (see below), whose sum is σ = 397335780864. Its totient is φ = 30785184000.

The previous prime is 131222123009. The next prime is 131222123023. The reversal of 131222123010 is 10321222131.

131222123010 is a `hidden beast` number, since 131 + 22 + 212 + 301 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38670 + ... + 513750.

Almost surely, 2131222123010 is an apocalyptic number.

131222123010 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 131222123010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198667890432).

131222123010 is an abundant number, since it is smaller than the sum of its proper divisors (266113657854).

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

131222123010 is a wasteful number, since it uses less digits than its factorization.

131222123010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475142 (or 475133 counting only the distinct ones).

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

Adding to 131222123010 its reverse (10321222131), we get a palindrome (141543345141).

The spelling of 131222123010 in words is "one hundred thirty-one billion, two hundred twenty-two million, one hundred twenty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 31 33 45 54 55 62 66 81 90 93 99 110 135 155 162 165 186 198 270 279 297 310 330 341 405 465 495 558 594 682 810 837 891 930 990 1023 1395 1485 1674 1705 1782 2046 2511 2790 2970 3069 3410 4185 4455 5022 5115 6138 8370 8910 9207 10230 12555 15345 18414 25110 27621 30690 46035 55242 92070 138105 276210 475081 950162 1425243 2375405 2850486 4275729 4750810 5225891 7126215 8551458 10451782 12827187 14252430 14727511 15677673 21378645 25654374 26129455 29455022 31355346 38481561 42757290 44182533 47033019 52258910 64135935 73637555 76963122 78388365 88365066 94066038 128271870 132547599 141099057 147275110 156776730 162002621 192407805 220912665 235165095 265095198 282198114 324005242 384815610 397642797 423297171 441825330 470330190 486007863 662737995 705495285 795285594 810013105 846594342 972015726 1192928391 1325475990 1410990570 1458023589 1620026210 1988213985 2116485855 2385856782 2430039315 2916047178 3976427970 4232971710 4374070767 4860078630 5964641955 7290117945 8748141534 11929283910 13122212301 14580235890 21870353835 26244424602 43740707670 65611061505 131222123010