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102231103220 = 225195318712713
BaseRepresentation
bin101111100110101110…
…0101101011011110100
3100202212122212010111022
41133031130231123310
53133332130300340
6114544143200312
710246245016421
oct1371534553364
9322778763438
10102231103220
113a3a0879a64
1217990ba6098
139842b1126c
144d3b4b6d48
1529d504c3b5
hex17cd72d6f4

102231103220 has 96 divisors (see below), whose sum is σ = 230456378880. Its totient is φ = 37974942720.

The previous prime is 102231103199. The next prime is 102231103333. The reversal of 102231103220 is 22301132201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37680584 + ... + 37683296.

It is an arithmetic number, because the mean of its divisors is an integer number (2400587280).

Almost surely, 2102231103220 is an apocalyptic number.

102231103220 is a gapful number since it is divisible by the number (10) 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 102231103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115228189440).

102231103220 is an abundant number, since it is smaller than the sum of its proper divisors (128225275660).

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

102231103220 is a wasteful number, since it uses less digits than its factorization.

102231103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4665 (or 4663 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102231103220 its reverse (22301132201), we get a palindrome (124532235421).

The spelling of 102231103220 in words is "one hundred two billion, two hundred thirty-one million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 53 76 95 106 190 212 265 380 530 1007 1060 1871 2014 2713 3742 4028 5035 5426 7484 9355 10070 10852 13565 18710 20140 27130 35549 37420 51547 54260 71098 99163 103094 142196 143789 177745 198326 206188 257735 287578 355490 396652 495815 515470 575156 710980 718945 991630 1030940 1437890 1884097 1983260 2731991 2875780 3768194 5076023 5463982 7536388 9420485 10152046 10927964 13659955 18840970 20304092 25380115 27319910 37681940 50760230 54639820 96444437 101520460 192888874 269029219 385777748 482222185 538058438 964444370 1076116876 1345146095 1928888740 2690292190 5111555161 5380584380 10223110322 20446220644 25557775805 51115551610 102231103220