Search a number
-
+
131303154000 = 2435353412903
BaseRepresentation
bin111101001001001000…
…1110010000101010000
3110112220202001022211210
41322102101302011100
54122402101412000
6140153030140120
712325546252104
oct1722221620520
9415822038753
10131303154000
115075a231007
12215451b1640
13c4c6b75285
1464d85ab904
153637478350
hex1e92472150

131303154000 has 160 divisors (see below), whose sum is σ = 431309608704. Its totient is φ = 34353446400.

The previous prime is 131303153999. The next prime is 131303154007. The reversal of 131303154000 is 451303131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131303154007) 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, 111549 + ... + 524451.

Almost surely, 2131303154000 is an apocalyptic number.

131303154000 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 131303154000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215654804352).

131303154000 is an abundant number, since it is smaller than the sum of its proper divisors (300006454704).

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

131303154000 is a wasteful number, since it uses less digits than its factorization.

131303154000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412982 (or 412966 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 131303154000 its reverse (451303131), we get a palindrome (131754457131).

It can be divided in two parts, 1313031 and 54000, that added together give a triangular number (1367031 = T1653).

The spelling of 131303154000 in words is "one hundred thirty-one billion, three hundred three million, one hundred fifty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 53 60 75 80 100 106 120 125 150 159 200 212 240 250 265 300 318 375 400 424 500 530 600 636 750 795 848 1000 1060 1200 1272 1325 1500 1590 2000 2120 2544 2650 3000 3180 3975 4240 5300 6000 6360 6625 7950 10600 12720 13250 15900 19875 21200 26500 31800 39750 53000 63600 79500 106000 159000 318000 412903 825806 1238709 1651612 2064515 2477418 3303224 4129030 4954836 6193545 6606448 8258060 9909672 10322575 12387090 16516120 19819344 20645150 21883859 24774180 30967725 33032240 41290300 43767718 49548360 51612875 61935450 65651577 82580600 87535436 99096720 103225750 109419295 123870900 131303154 154838625 165161200 175070872 206451500 218838590 247741800 262606308 309677250 328257885 350141744 412903000 437677180 495483600 525212616 547096475 619354500 656515770 825806000 875354360 1050425232 1094192950 1238709000 1313031540 1641289425 1750708720 2188385900 2477418000 2626063080 2735482375 3282578850 4376771800 5252126160 5470964750 6565157700 8206447125 8753543600 10941929500 13130315400 16412894250 21883859000 26260630800 32825788500 43767718000 65651577000 131303154000