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31331003220 = 223251115823739
BaseRepresentation
bin11101001011011110…
…010010101101010100
32222212111210212112200
4131023132102231110
51003131214100340
622220540044500
72156261063466
oct351336225524
988774725480
1031331003220
11123185974a0
1260a4833730
132c5406687a
14173311a136
15c358e0330
hex74b792b54

31331003220 has 72 divisors (see below), whose sum is σ = 103677144480. Its totient is φ = 7595394240.

The previous prime is 31331003219. The next prime is 31331003243. The reversal of 31331003220 is 2230013313.

31331003220 is a `hidden beast` number, since 31 + 3 + 310 + 0 + 322 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31331003193 and 31331003202.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7909890 + ... + 7913849.

It is an arithmetic number, because the mean of its divisors is an integer number (1439960340).

Almost surely, 231331003220 is an apocalyptic number.

31331003220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31331003220 is an abundant number, since it is smaller than the sum of its proper divisors (72346141260).

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

31331003220 is a wasteful number, since it uses less digits than its factorization.

31331003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15823765 (or 15823760 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31331003220 its reverse (2230013313), we get a palindrome (33561016533).

The spelling of 31331003220 in words is "thirty-one billion, three hundred thirty-one million, three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 15823739 31647478 47471217 63294956 79118695 94942434 142413651 158237390 174061129 189884868 237356085 284827302 316474780 348122258 474712170 522183387 569654604 696244516 712068255 870305645 949424340 1044366774 1424136510 1566550161 1740611290 2088733548 2610916935 2848273020 3133100322 3481222580 5221833870 6266200644 7832750805 10443667740 15665501610 31331003220