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31302221100 = 22352221347149
BaseRepresentation
bin11101001001110000…
…011111110100101100
32222210111122120220020
4131021300133310230
51003101332033400
622214031122140
72155461326553
oct351160376454
988714576806
1031302221100
1112303319017
126097073350
132c4b0ca027
14172d386d9a
15c331072a0
hex749c1fd2c

31302221100 has 72 divisors (see below), whose sum is σ = 90610606800. Its totient is φ = 8343310080.

The previous prime is 31302221089. The next prime is 31302221101. The reversal of 31302221100 is 112220313.

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 31302221100.

It is not an unprimeable number, because it can be changed into a prime (31302221101) 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 23 ways as a sum of consecutive naturals, for example, 640326 + ... + 687474.

It is an arithmetic number, because the mean of its divisors is an integer number (1258480650).

Almost surely, 231302221100 is an apocalyptic number.

31302221100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31302221100 is an abundant number, since it is smaller than the sum of its proper divisors (59308385700).

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

31302221100 is a wasteful number, since it uses less digits than its factorization.

31302221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49379 (or 49372 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 31302221100 its reverse (112220313), we get a palindrome (31414441413).

The spelling of 31302221100 in words is "thirty-one billion, three hundred two million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2213 4426 6639 8852 11065 13278 22130 26556 33195 44260 47149 55325 66390 94298 110650 132780 141447 165975 188596 221300 235745 282894 331950 471490 565788 663900 707235 942980 1178725 1414470 2357450 2828940 3536175 4714900 7072350 14144700 104340737 208681474 313022211 417362948 521703685 626044422 1043407370 1252088844 1565111055 2086814740 2608518425 3130222110 5217036850 6260444220 7825555275 10434073700 15651110550 31302221100