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131021340 = 223519223263
BaseRepresentation
bin1111100111100…
…11101000011100
3100010112120111020
413303303220130
5232020140330
621000124140
73150443262
oct763635034
9303476436
10131021340
1167a5a2aa
1237a66650
13211b5628
1413588432
15b781210
hex7cf3a1c

131021340 has 144 divisors (see below), whose sum is σ = 405554688. Its totient is φ = 31540608.

The previous prime is 131021339. The next prime is 131021347. The reversal of 131021340 is 43120131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131021347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 498049 + ... + 498311.

It is an arithmetic number, because the mean of its divisors is an integer number (2816352).

Almost surely, 2131021340 is an apocalyptic number.

131021340 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 131021340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202777344).

131021340 is an abundant number, since it is smaller than the sum of its proper divisors (274533348).

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

131021340 is a wasteful number, since it uses less digits than its factorization.

131021340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 131021340 is about 11446.4553465254. The cubic root of 131021340 is about 507.9028840744.

Adding to 131021340 its reverse (43120131), we get a palindrome (174141471).

The spelling of 131021340 in words is "one hundred thirty-one million, twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 23 30 38 46 57 60 69 76 92 95 114 115 138 190 228 230 263 276 285 345 361 380 437 460 526 570 690 722 789 874 1052 1083 1140 1311 1315 1380 1444 1578 1748 1805 2166 2185 2622 2630 3156 3610 3945 4332 4370 4997 5244 5260 5415 6049 6555 7220 7890 8303 8740 9994 10830 12098 13110 14991 15780 16606 18147 19988 21660 24196 24909 24985 26220 29982 30245 33212 36294 41515 49818 49970 59964 60490 72588 74955 83030 90735 94943 99636 99940 114931 120980 124545 149910 166060 181470 189886 229862 249090 284829 299820 344793 362940 379772 459724 474715 498180 569658 574655 689586 949430 1139316 1149310 1379172 1424145 1723965 1898860 2183689 2298620 2848290 3447930 4367378 5696580 6551067 6895860 8734756 10918445 13102134 21836890 26204268 32755335 43673780 65510670 131021340