Search a number
-
+
102100110202200 = 233521115469713667
BaseRepresentation
bin10111001101110000001000…
…110011001101010101011000
3111101111200020020011120111110
4113031300020303031111120
5101340302011202432300
61001052050524500320
730335326624262115
oct2715601063152530
9441450206146443
10102100110202200
112a594460512660
12b54b8283aa6a0
1344c7ccac93146
141b2d95920b90c
15bc0cd1504550
hex5cdc08ccd558

102100110202200 has 96 divisors (see below), whose sum is σ = 345284009069760. Its totient is φ = 24751541865600.

The previous prime is 102100110202193. The next prime is 102100110202201. The reversal of 102100110202200 is 2202011001201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100110202201) 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, 7734850234 + ... + 7734863433.

It is an arithmetic number, because the mean of its divisors is an integer number (3596708427810).

Almost surely, 2102100110202200 is an apocalyptic number.

102100110202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100110202200 is an abundant number, since it is smaller than the sum of its proper divisors (243183898867560).

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

102100110202200 is a wasteful number, since it uses less digits than its factorization.

102100110202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15469713697 (or 15469713688 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102100110202200 its reverse (2202011001201), we get a palindrome (104302121203401).

The spelling of 102100110202200 in words is "one hundred two trillion, one hundred billion, one hundred ten million, two hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 15469713667 30939427334 46409141001 61878854668 77348568335 92818282002 123757709336 154697136670 170166850337 185636564004 232045705005 309394273340 340333700674 371273128008 386742841675 464091410010 510500551011 618788546680 680667401348 773485683350 850834251685 928182820020 1021001102022 1160228525025 1361334802696 1546971366700 1701668503370 1856365640040 2042002204044 2320457050050 2552502755055 3093942733400 3403337006740 4084004408088 4254171258425 4640914100100 5105005510110 6806674013480 8508342516850 9281828200200 10210011020220 12762513775275 17016685033700 20420022040440 25525027550550 34033370067400 51050055101100 102100110202200