Search a number
-
+
131530036660 = 2251117127276917
BaseRepresentation
bin111101001111111001…
…1010001010110110100
3110120111112222011100021
41322133303101112310
54123333142133120
6140231333054524
712334302602431
oct1723763212664
9416445864307
10131530036660
1150866305340
12215a9187444
13c531b82679
14651a78ab88
15364c342aaa
hex1e9fcd15b4

131530036660 has 96 divisors (see below), whose sum is σ = 321561612288. Its totient is φ = 44661012480.

The previous prime is 131530036637. The next prime is 131530036699. The reversal of 131530036660 is 66630035131.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 336522 + ... + 613438.

It is an arithmetic number, because the mean of its divisors is an integer number (3349600128).

Almost surely, 2131530036660 is an apocalyptic number.

131530036660 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 131530036660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160780806144).

131530036660 is an abundant number, since it is smaller than the sum of its proper divisors (190031575628).

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

131530036660 is a wasteful number, since it uses less digits than its factorization.

131530036660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277081 (or 277079 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 34.

The spelling of 131530036660 in words is "one hundred thirty-one billion, five hundred thirty million, thirty-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 127 170 187 220 254 340 374 508 635 748 935 1270 1397 1870 2159 2540 2794 3740 4318 5588 6985 8636 10795 13970 21590 23749 27940 43180 47498 94996 118745 237490 276917 474980 553834 1107668 1384585 2769170 3046087 4707589 5538340 6092174 9415178 12184348 15230435 18830356 23537945 30460870 35168459 47075890 51783479 60921740 70336918 94151780 103566958 140673836 175842295 207133916 258917395 351684590 386853049 517834790 597863803 703369180 773706098 1035669580 1195727606 1547412196 1934265245 2391455212 2989319015 3868530490 5978638030 6576501833 7737060980 11957276060 13153003666 26306007332 32882509165 65765018330 131530036660