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131143422300 = 2235211229173539
BaseRepresentation
bin111101000100011000…
…0011101000101011100
3110112111121111010010220
41322020300131011130
54122040204003200
6140125122401340
712321566461032
oct1721060350534
9415447433126
10131143422300
1150688052240
12214bb800250
13c49ca49987
1464c12ac552
1536284254a0
hex1e88c1d15c

131143422300 has 144 divisors (see below), whose sum is σ = 415746307200. Its totient is φ = 31653331200.

The previous prime is 131143422283. The next prime is 131143422329. The reversal of 131143422300 is 3224341131.

It is a happy number.

It is a super-2 number, since 2×1311434223002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 668931 + ... + 842469.

Almost surely, 2131143422300 is an apocalyptic number.

131143422300 is a gapful number since it is divisible by the number (10) 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 131143422300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207873153600).

131143422300 is an abundant number, since it is smaller than the sum of its proper divisors (284602884900).

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

131143422300 is a wasteful number, since it uses less digits than its factorization.

131143422300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173796 (or 173789 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131143422300 its reverse (3224341131), we get a palindrome (134367763431).

The spelling of 131143422300 in words is "one hundred thirty-one billion, one hundred forty-three million, four hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 229 275 300 330 458 550 660 687 825 916 1100 1145 1374 1650 2290 2519 2748 3300 3435 4580 5038 5725 6870 7557 10076 11450 12595 13740 15114 17175 22900 25190 30228 34350 37785 50380 62975 68700 75570 125950 151140 173539 188925 251900 347078 377850 520617 694156 755700 867695 1041234 1735390 1908929 2082468 2603085 3470780 3817858 4338475 5206170 5726787 7635716 8676950 9544645 10412340 11453574 13015425 17353900 19089290 22907148 26030850 28633935 38178580 39740431 47723225 52061700 57267870 79480862 95446450 114535740 119221293 143169675 158961724 190892900 198702155 238442586 286339350 397404310 437144741 476885172 572678700 596106465 794808620 874289482 993510775 1192212930 1311434223 1748578964 1987021550 2185723705 2384425860 2622868446 2980532325 3974043100 4371447410 5245736892 5961064650 6557171115 8742894820 10928618525 11922129300 13114342230 21857237050 26228684460 32785855575 43714474100 65571711150 131143422300