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31322424540 = 223511192497801
BaseRepresentation
bin11101001010111101…
…100100010011011100
32222211220200000210210
4131022331210103130
51003122020041130
622220032132420
72156125133661
oct351275442334
988756600723
1031322424540
1112313768180
1260a1997110
132c52351c24
141731d25a68
15c34c985b0
hex74af644dc

31322424540 has 96 divisors (see below), whose sum is σ = 100711376640. Its totient is φ = 7193664000.

The previous prime is 31322424517. The next prime is 31322424541. The reversal of 31322424540 is 4542422313.

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

It is a junction number, because it is equal to n+sod(n) for n = 31322424498 and 31322424507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31322424541) 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 31 ways as a sum of consecutive naturals, for example, 1236361 + ... + 1261440.

It is an arithmetic number, because the mean of its divisors is an integer number (1049076840).

Almost surely, 231322424540 is an apocalyptic number.

31322424540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31322424540 is an abundant number, since it is smaller than the sum of its proper divisors (69388952100).

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

31322424540 is a wasteful number, since it uses less digits than its factorization.

31322424540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497843 (or 2497841 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 31322424540 its reverse (4542422313), we get a palindrome (35864846853).

The spelling of 31322424540 in words is "thirty-one billion, three hundred twenty-two million, four hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 6270 12540 2497801 4995602 7493403 9991204 12489005 14986806 24978010 27475811 29973612 37467015 47458219 49956020 54951622 74934030 82427433 94916438 109903244 137379055 142374657 149868060 164854866 189832876 237291095 274758110 284749314 329709732 412137165 474582190 522040409 549516220 569498628 711873285 824274330 949164380 1044080818 1423746570 1566121227 1648548660 2088161636 2610202045 2847493140 3132242454 5220404090 6264484908 7830606135 10440808180 15661212270 31322424540