Search a number
-
+
31122002220 = 22354719157781
BaseRepresentation
bin11100111111000001…
…000001000100101100
32222022221112112001220
4130333001001010230
51002214213032340
622144112303340
72151142440231
oct347701010454
988287475056
1031122002220
11122206169a1
126046841b50
132c1c97a63a
141713473788
15c223a8ed0
hex73f04112c

31122002220 has 96 divisors (see below), whose sum is σ = 89463177216. Its totient is φ = 8079955200.

The previous prime is 31122002089. The next prime is 31122002231. The reversal of 31122002220 is 2220022113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31122002220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509730 + ... + 567510.

It is an arithmetic number, because the mean of its divisors is an integer number (931908096).

Almost surely, 231122002220 is an apocalyptic number.

31122002220 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 31122002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44731588608).

31122002220 is an abundant number, since it is smaller than the sum of its proper divisors (58341174996).

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

31122002220 is a wasteful number, since it uses less digits than its factorization.

31122002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58031 (or 58029 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 31122002220 its reverse (2220022113), we get a palindrome (33342024333).

The spelling of 31122002220 in words is "thirty-one billion, one hundred twenty-two million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 191 235 282 382 470 564 573 705 764 940 955 1146 1410 1910 2292 2820 2865 3820 5730 8977 11460 17954 26931 35908 44885 53862 57781 89770 107724 115562 134655 173343 179540 231124 269310 288905 346686 538620 577810 693372 866715 1155620 1733430 2715707 3466860 5431414 8147121 10862828 11036171 13578535 16294242 22072342 27157070 32588484 33108513 40735605 44144684 54314140 55180855 66217026 81471210 110361710 132434052 162942420 165542565 220723420 331085130 518700037 662170260 1037400074 1556100111 2074800148 2593500185 3112200222 5187000370 6224400444 7780500555 10374000740 15561001110 31122002220