Search a number
-
+
102130132200 = 233521209714071
BaseRepresentation
bin101111100011101101…
…1100010010011101000
3100202121121212021021220
41133013123202103220
53133130303212300
6114530135102040
710243610541315
oct1370733422350
9322547767256
10102130132200
113a349884a38
1217963211920
139827c1a7b5
144d2bd11d0c
1529cb254da0
hex17c76e24e8

102130132200 has 96 divisors (see below), whose sum is σ = 316652084160. Its totient is φ = 27230515200.

The previous prime is 102130132193. The next prime is 102130132201. The reversal of 102130132200 is 2231031201.

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 102130132200.

It is not an unprimeable number, because it can be changed into a prime (102130132201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7251165 + ... + 7265235.

It is an arithmetic number, because the mean of its divisors is an integer number (3298459210).

Almost surely, 2102130132200 is an apocalyptic number.

102130132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102130132200 is an abundant number, since it is smaller than the sum of its proper divisors (214521951960).

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

102130132200 is a wasteful number, since it uses less digits than its factorization.

102130132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26187 (or 26178 counting only the distinct ones).

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

Adding to 102130132200 its reverse (2231031201), we get a palindrome (104361163401).

It can be divided in two parts, 1021301 and 32200, that added together give a palindrome (1053501).

The spelling of 102130132200 in words is "one hundred two billion, one hundred thirty million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 12097 14071 24194 28142 36291 42213 48388 56284 60485 70355 72582 84426 96776 112568 120970 140710 145164 168852 181455 211065 241940 281420 290328 302425 337704 351775 362910 422130 483880 562840 604850 703550 725820 844260 907275 1055325 1209700 1407100 1451640 1688520 1814550 2110650 2419400 2814200 3629100 4221300 7258200 8442600 170216887 340433774 510650661 680867548 851084435 1021301322 1361735096 1702168870 2042602644 2553253305 3404337740 4085205288 4255422175 5106506610 6808675480 8510844350 10213013220 12766266525 17021688700 20426026440 25532533050 34043377400 51065066100 102130132200