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102111330420 = 2232511103500693
BaseRepresentation
bin101111100011001001…
…1110100000001110100
3100202120022111001002200
41133012103310001310
53133111000033140
6114524224104500
710243261662531
oct1370623640164
9322508431080
10102111330420
113a33a202980
1217958a65130
139824066898
144d29619d88
1529c978e030
hex17c64f4074

102111330420 has 144 divisors (see below), whose sum is σ = 341176897152. Its totient is φ = 24513880320.

The previous prime is 102111330383. The next prime is 102111330427. The reversal of 102111330420 is 24033111201.

102111330420 is a `hidden beast` number, since 1 + 0 + 211 + 1 + 3 + 30 + 420 = 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 = 102111330393 and 102111330402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111330427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46407 + ... + 454286.

It is an arithmetic number, because the mean of its divisors is an integer number (2369284008).

Almost surely, 2102111330420 is an apocalyptic number.

102111330420 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 102111330420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170588448576).

102111330420 is an abundant number, since it is smaller than the sum of its proper divisors (239065566732).

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

102111330420 is a wasteful number, since it uses less digits than its factorization.

102111330420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500822 (or 500817 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102111330420 its reverse (24033111201), we get a palindrome (126144441621).

The spelling of 102111330420 in words is "one hundred two billion, one hundred eleven million, three hundred thirty thousand, four 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 99 103 110 132 165 180 198 206 220 309 330 396 412 495 515 618 660 927 990 1030 1133 1236 1545 1854 1980 2060 2266 3090 3399 3708 4532 4635 5665 6180 6798 9270 10197 11330 13596 16995 18540 20394 22660 33990 40788 50985 67980 101970 203940 500693 1001386 1502079 2002772 2503465 3004158 4506237 5006930 5507623 6008316 7510395 9012474 10013860 11015246 15020790 16522869 18024948 22030492 22531185 27538115 30041580 33045738 45062370 49568607 51571379 55076230 66091476 82614345 90124740 99137214 103142758 110152460 154714137 165228690 198274428 206285516 247843035 257856895 309428274 330457380 464142411 495686070 515713790 567285169 618856548 773570685 928284822 991372140 1031427580 1134570338 1547141370 1701855507 1856569644 2269140676 2320712055 2836425845 3094282740 3403711014 4641424110 5105566521 5672851690 6807422028 8509277535 9282848220 10211133042 11345703380 17018555070 20422266084 25527832605 34037110140 51055665210 102111330420