Search a number
-
+
131020152410840 = 235711277791531337
BaseRepresentation
bin11101110010100110000001…
…101001001001001011011000
3122011220101220200202020212112
4131302212001221021023120
5114133113233004121330
61142353454352331452
736411615342135050
oct3562460151111330
9564811820666775
10131020152410840
1138824375390710
12128406bbb43b88
1358151bb98c984
14244d5a2c42560
151023205134795
hex772981a492d8

131020152410840 has 128 divisors (see below), whose sum is σ = 367550521689600. Its totient is φ = 40835953351680.

The previous prime is 131020152410803. The next prime is 131020152410843. The reversal of 131020152410840 is 48014251020131.

It is a junction number, because it is equal to n+sod(n) for n = 131020152410797 and 131020152410806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131020152410843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84793652 + ... + 86324988.

It is an arithmetic number, because the mean of its divisors is an integer number (2871488450700).

Almost surely, 2131020152410840 is an apocalyptic number.

131020152410840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131020152410840 is an abundant number, since it is smaller than the sum of its proper divisors (236530369278760).

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

131020152410840 is a wasteful number, since it uses less digits than its factorization.

131020152410840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559145 (or 1559141 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 131020152410840 in words is "one hundred thirty-one trillion, twenty billion, one hundred fifty-two million, four hundred ten thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 27779 55558 111116 138895 194453 222232 277790 305569 388906 555580 611138 777812 972265 1111160 1222276 1527845 1531337 1555624 1944530 2138983 2444552 3055690 3062674 3889060 4277966 6111380 6125348 7656685 7778120 8555932 10694915 10719359 12222760 12250696 15313370 16844707 17111864 21389830 21438718 30626740 33689414 42779660 42877436 53596795 61253480 67378828 84223535 85559320 85754872 107193590 117912949 134757656 168447070 214387180 235825898 336894140 428774360 471651796 589564745 673788280 943303592 1179129490 2358258980 4716517960 42539010523 85078021046 170156042092 212695052615 297773073661 340312084184 425390105230 467929115753 595546147322 850780210460 935858231506 1191092294644 1488865368305 1701560420920 1871716463012 2339645578765 2382184589288 2977730736610 3275503810271 3743432926024 4679291157530 5955461473220 6551007620542 9358582315060 11910922946440 13102015241084 16377519051355 18717164630120 26204030482168 32755038102710 65510076205420 131020152410840