Search a number
-
+
31350060480 = 2635271120503
BaseRepresentation
bin11101001100100110…
…111111010111000000
32222220211200002012010
4131030212333113000
51003201103413410
622222500332520
72156612055144
oct351446772700
988824602163
1031350060480
11123283234a2
1260ab0a4140
132c57ca9b5b
14173587b224
15c37406c20
hex74c9bf5c0

31350060480 has 112 divisors (see below), whose sum is σ = 99904564224. Its totient is φ = 8329098240.

The previous prime is 31350060479. The next prime is 31350060481. The reversal of 31350060480 is 8406005313.

It is an interprime number because it is at equal distance from previous prime (31350060479) and next prime (31350060481).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31350060481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199909 + ... + 320411.

Almost surely, 231350060480 is an apocalyptic number.

31350060480 is a gapful number since it is divisible by the number (30) 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 31350060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49952282112).

31350060480 is an abundant number, since it is smaller than the sum of its proper divisors (68554503744).

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

31350060480 is a wasteful number, since it uses less digits than its factorization.

31350060480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120794 (or 120784 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 31350060480 its reverse (8406005313), we get a palindrome (39756065793).

The spelling of 31350060480 in words is "thirty-one billion, three hundred fifty million, sixty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 271 320 480 542 813 960 1084 1355 1626 2168 2710 3252 4065 4336 5420 6504 8130 8672 10840 13008 16260 17344 21680 26016 32520 43360 52032 65040 86720 120503 130080 241006 260160 361509 482012 602515 723018 964024 1205030 1446036 1807545 1928048 2410060 2892072 3615090 3856096 4820120 5784144 7230180 7712192 9640240 11568288 14460360 19280480 23136576 28920720 32656313 38560960 57841440 65312626 97968939 115682880 130625252 163281565 195937878 261250504 326563130 391875756 489844695 522501008 653126260 783751512 979689390 1045002016 1306252520 1567503024 1959378780 2090004032 2612505040 3135006048 3918757560 5225010080 6270012096 7837515120 10450020160 15675030240 31350060480