Search a number
-
+
102100200001060 = 22529317423242321
BaseRepresentation
bin10111001101110000001110…
…001001110000111000100100
3111101111200110111010211101011
4113031300032021300320210
5101340302202200013220
61001052103453312004
730335332064456302
oct2715601611607044
9441450414124334
10102100200001060
112a5944a7176898
12b54b852495604
1344c8013774671
141b2d967105272
15bc0cd934165a
hex5cdc0e270e24

102100200001060 has 24 divisors (see below), whose sum is σ = 215142196192056. Its totient is φ = 40700694059520.

The previous prime is 102100200001027. The next prime is 102100200001061. The reversal of 102100200001060 is 60100002001201.

It can be written as a sum of positive squares in 4 ways, for example, as 36351324990436 + 65748875010624 = 6029206^2 + 8108568^2 .

It is a super-2 number, since 2×1021002000010602 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102100200001060.

It is not an unprimeable number, because it can be changed into a prime (102100200001061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8711615301 + ... + 8711627020.

It is an arithmetic number, because the mean of its divisors is an integer number (8964258174669).

Almost surely, 2102100200001060 is an apocalyptic number.

102100200001060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100200001060 is an abundant number, since it is smaller than the sum of its proper divisors (113041996190996).

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

102100200001060 is a wasteful number, since it uses less digits than its factorization.

102100200001060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17423242623 (or 17423242621 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 102100200001060 its reverse (60100002001201), we get a palindrome (162200202002261).

The spelling of 102100200001060 in words is "one hundred two trillion, one hundred billion, two hundred million, one thousand, sixty".

Divisors: 1 2 4 5 10 20 293 586 1172 1465 2930 5860 17423242321 34846484642 69692969284 87116211605 174232423210 348464846420 5105010000053 10210020000106 20420040000212 25525050000265 51050100000530 102100200001060