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131041344131000 = 23531929237824581
BaseRepresentation
bin11101110010111001110000…
…110001001000111110111000
3122011222102121120201011211222
4131302321300301020332320
5114133440133044143000
61142411321252411212
736413265444603542
oct3562716061107670
9564872546634758
10131041344131000
113883235a580726
1212844835016b08
1358171b8220164
142450613500692
151023a45802a85
hex772e70c48fb8

131041344131000 has 128 divisors (see below), whose sum is σ = 333905713128000. Its totient is φ = 47945435328000.

The previous prime is 131041344130979. The next prime is 131041344131041. The reversal of 131041344131000 is 131443140131.

It is a super-2 number, since 2×1310413441310002 (a number of 29 digits) contains 22 as substring.

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, 118361291 + ... + 119463290.

Almost surely, 2131041344131000 is an apocalyptic number.

131041344131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131041344131000 is an abundant number, since it is smaller than the sum of its proper divisors (202864368997000).

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

131041344131000 is a wasteful number, since it uses less digits than its factorization.

131041344131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237824650 (or 237824636 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 131041344131000 its reverse (131443140131), we get a palindrome (131172787271131).

The spelling of 131041344131000 in words is "one hundred thirty-one trillion, forty-one billion, three hundred forty-four million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 29 38 40 50 58 76 95 100 116 125 145 152 190 200 232 250 290 380 475 500 551 580 725 760 950 1000 1102 1160 1450 1900 2204 2375 2755 2900 3625 3800 4408 4750 5510 5800 7250 9500 11020 13775 14500 19000 22040 27550 29000 55100 68875 110200 137750 275500 551000 237824581 475649162 951298324 1189122905 1902596648 2378245810 4518667039 4756491620 5945614525 6896912849 9037334078 9512983240 11891229050 13793825698 18074668156 22593335195 23782458100 27587651396 29728072625 34484564245 36149336312 45186670390 47564916200 55175302792 59456145250 68969128490 90373340780 112966675975 118912290500 131041344131 137938256980 172422821225 180746681560 225933351950 237824581000 262082688262 275876513960 344845642450 451866703900 524165376524 564833379875 655206720655 689691284900 862114106125 903733407800 1048330753048 1129666759750 1310413441310 1379382569800 1724228212250 2259333519500 2620826882620 3276033603275 3448456424500 4518667039000 5241653765240 6552067206550 6896912849000 13104134413100 16380168016375 26208268826200 32760336032750 65520672065500 131041344131000