Search a number
-
+
13131432024130 = 25717194451130483
BaseRepresentation
bin1011111100010110011001…
…0101110101100001000010
31201111100112002001010201001
42333011212111311201002
53210121133044233010
643532255133002214
72523500061360250
oct277054625654102
951440462033631
1013131432024130
114203011050842
121580b6202336a
1374339a441ab4
143357c977b5d0
1517b8a30b8c3a
hexbf166575842

13131432024130 has 128 divisors (see below), whose sum is σ = 30114621573120. Its totient is φ = 4013417548800.

The previous prime is 13131432024127. The next prime is 13131432024131. The reversal of 13131432024130 is 3142023413131.

13131432024130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13131432024131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100571869 + ... + 100702351.

It is an arithmetic number, because the mean of its divisors is an integer number (235270481040).

Almost surely, 213131432024130 is an apocalyptic number.

13131432024130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13131432024130 is an abundant number, since it is smaller than the sum of its proper divisors (16983189548990).

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

13131432024130 is a wasteful number, since it uses less digits than its factorization.

13131432024130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134984.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 13131432024130 its reverse (3142023413131), we get a palindrome (16273455437261).

The spelling of 13131432024130 in words is "thirteen trillion, one hundred thirty-one billion, four hundred thirty-two million, twenty-four thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 17 19 34 35 38 70 85 95 119 133 170 190 238 266 323 595 646 665 1190 1330 1615 2261 3230 4451 4522 8902 11305 22255 22610 31157 44510 62314 75667 84569 130483 151334 155785 169138 260966 311570 378335 422845 529669 591983 652415 756670 845690 913381 1059338 1183966 1304830 1437673 1826762 2218211 2479177 2648345 2875346 2959915 4436422 4566905 4958354 5296690 5919830 7188365 9133810 10063711 11091055 12395885 14376730 15527477 17354239 20127422 22182110 24791770 31054954 34708478 42146009 50318555 77637385 84292018 86771195 100637110 155274770 173542390 210730045 295022063 421460090 580779833 590044126 1161559666 1475110315 2903899165 2950220630 4065458831 5807798330 8130917662 9873257161 11034816827 19746514322 20327294155 22069633654 40654588310 49366285805 55174084135 69112800127 77243717789 98732571610 110348168270 138225600254 154487435578 187591886059 345564000635 375183772118 386218588945 691128001270 772437177890 937959430295 1313143202413 1875918860590 2626286404826 6565716012065 13131432024130