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102001103100 = 223252138718043
BaseRepresentation
bin101111011111110111…
…1010101000011111100
3100202021122001220122100
41132333233111003330
53132344240244400
6114505245345100
710240453033221
oct1367757250374
9322248056570
10102001103100
113a292a66516
1217927b68190
139807281c10
144d18b25948
1529bec69100
hex17bfbd50fc

102001103100 has 108 divisors (see below), whose sum is σ = 344310429736. Its totient is φ = 25107960960.

The previous prime is 102001103089. The next prime is 102001103107. The reversal of 102001103100 is 1301100201.

It is a super-2 number, since 2×1020011031002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001103107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4347322 + ... + 4370721.

Almost surely, 2102001103100 is an apocalyptic number.

102001103100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001103100 is an abundant number, since it is smaller than the sum of its proper divisors (242309326636).

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

102001103100 is a wasteful number, since it uses less digits than its factorization.

102001103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8718076 (or 8718066 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 102001103100 its reverse (1301100201), we get a palindrome (103302203301).

The spelling of 102001103100 in words is "one hundred two billion, one million, one hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11700 8718043 17436086 26154129 34872172 43590215 52308258 78462387 87180430 104616516 113334559 130770645 156924774 174360860 217951075 226669118 261541290 313849548 340003677 392311935 435902150 453338236 523082580 566672795 653853225 680007354 784623870 871804300 1020011031 1133345590 1307706450 1360014708 1569247740 1700018385 1961559675 2040022062 2266691180 2615412900 2833363975 3400036770 3923119350 4080044124 5100055155 5666727950 6800073540 7846238700 8500091925 10200110310 11333455900 17000183850 20400220620 25500275775 34000367700 51000551550 102001103100