Search a number
-
+
102100101222 = 23719977130957
BaseRepresentation
bin101111100010110100…
…0111110100001100110
3100202112112100112112110
41133011220332201212
53133100111214342
6114523143301450
710243064353410
oct1370550764146
9322475315473
10102100101222
113a333933249
121795514a886
1398219346a2
144d27d359b0
1529c87c1c9c
hex17c5a3e866

102100101222 has 64 divisors (see below), whose sum is σ = 245907694080. Its totient is φ = 27607620096.

The previous prime is 102100101199. The next prime is 102100101227. The reversal of 102100101222 is 222101001201.

It is a junction number, because it is equal to n+sod(n) for n = 102100101198 and 102100101207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100101227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 714168 + ... + 845124.

It is an arithmetic number, because the mean of its divisors is an integer number (3842307720).

Almost surely, 2102100101222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102100101222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122953847040).

102100101222 is an abundant number, since it is smaller than the sum of its proper divisors (143807592858).

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

102100101222 is a wasteful number, since it uses less digits than its factorization.

102100101222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131965.

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

Adding to 102100101222 its reverse (222101001201), we get a palindrome (324201102423).

The spelling of 102100101222 in words is "one hundred two billion, one hundred million, one hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 977 1954 2931 5862 6839 13678 18563 20517 37126 41034 55689 111378 129941 130957 259882 261914 389823 392871 779646 785742 916699 1833398 2488183 2750097 4976366 5500194 7464549 14929098 17417281 34834562 52251843 104503686 127944989 255889978 383834967 767669934 895614923 1791229846 2430954791 2686844769 4861909582 5373689538 7292864373 14585728746 17016683537 34033367074 51050050611 102100101222