Search a number
-
+
131323043000 = 23537910316139
BaseRepresentation
bin111101001001101110…
…1101001110010111000
3110112222010110210102102
41322103131221302320
54122422144334000
6140155020322532
712326210306402
oct1722335516270
9415863423372
10131323043000
115076a4859a6
122154b9a3448
13c4cb01a006
1464db0a7b72
1536390a63d5
hex1e93769cb8

131323043000 has 128 divisors (see below), whose sum is σ = 314226432000. Its totient is φ = 51357571200.

The previous prime is 131323042969. The next prime is 131323043041. The reversal of 131323043000 is 340323131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8128931 + ... + 8145069.

It is an arithmetic number, because the mean of its divisors is an integer number (2454894000).

Almost surely, 2131323043000 is an apocalyptic number.

131323043000 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 131323043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157113216000).

131323043000 is an abundant number, since it is smaller than the sum of its proper divisors (182903389000).

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

131323043000 is a wasteful number, since it uses less digits than its factorization.

131323043000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16342 (or 16328 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 131323043000 its reverse (340323131), we get a palindrome (131663366131).

The spelling of 131323043000 in words is "one hundred thirty-one billion, three hundred twenty-three million, forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 103 125 158 200 206 250 316 395 412 500 515 632 790 824 1000 1030 1580 1975 2060 2575 3160 3950 4120 5150 7900 8137 9875 10300 12875 15800 16139 16274 19750 20600 25750 32278 32548 39500 40685 51500 64556 65096 79000 80695 81370 103000 129112 161390 162740 203425 322780 325480 403475 406850 645560 806950 813700 1017125 1274981 1613900 1627400 1662317 2017375 2034250 2549962 3227800 3324634 4034750 4068500 5099924 6374905 6649268 8069500 8137000 8311585 10199848 12749810 13298536 16139000 16623170 25499620 31874525 33246340 41557925 50999240 63749050 66492680 83115850 127498100 131323043 159372625 166231700 207789625 254996200 262646086 318745250 332463400 415579250 525292172 637490500 656615215 831158500 1050584344 1274981000 1313230430 1662317000 2626460860 3283076075 5252921720 6566152150 13132304300 16415380375 26264608600 32830760750 65661521500 131323043000