Search a number
-
+
131332113220 = 225711349244357
BaseRepresentation
bin111101001010000000…
…0010000001101000100
3110112222202112121102111
41322110000100031010
54122432010110340
6140155542550404
712326350354240
oct1722400201504
9415882477374
10131332113220
1150774610550
1221552a38404
13c4ccb745c9
1464dc389420
153639c98aea
hex1e94010344

131332113220 has 96 divisors (see below), whose sum is σ = 344838009600. Its totient is φ = 40817226240.

The previous prime is 131332113163. The next prime is 131332113221. The reversal of 131332113220 is 22311233131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 131332113191 and 131332113200.

It is not an unprimeable number, because it can be changed into a prime (131332113221) 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, 415282 + ... + 659638.

It is an arithmetic number, because the mean of its divisors is an integer number (3592062600).

Almost surely, 2131332113220 is an apocalyptic number.

131332113220 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 131332113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172419004800).

131332113220 is an abundant number, since it is smaller than the sum of its proper divisors (213505896380).

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

131332113220 is a wasteful number, since it uses less digits than its factorization.

131332113220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244733 (or 244731 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 131332113220 its reverse (22311233131), we get a palindrome (153643346351).

The spelling of 131332113220 in words is "one hundred thirty-one billion, three hundred thirty-two million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 349 385 698 770 1396 1540 1745 2443 3490 3839 4886 6980 7678 9772 12215 15356 19195 24430 26873 38390 48860 53746 76780 107492 134365 244357 268730 488714 537460 977428 1221785 1710499 2443570 2687927 3420998 4887140 5375854 6841996 8552495 10751708 13439635 17104990 18815489 26879270 34209980 37630978 53758540 75261956 85280593 94077445 170561186 188154890 341122372 376309780 426402965 596964151 852805930 938086523 1193928302 1705611860 1876173046 2387856604 2984820755 3752346092 4690432615 5969641510 6566605661 9380865230 11939283020 13133211322 18761730460 26266422644 32833028305 65666056610 131332113220