Search a number
-
+
202001100101210 = 251731971093754193
BaseRepresentation
bin101101111011100000001011…
…110100001101011001011010
3222111020010010222111211200202
4231323200023310031121122
5202434041223111214320
61553342005125302202
760356045366446664
oct5573401364153132
9874203128454622
10202001100101210
1159400204938493
121a7a51bb864962
13889381170acc7
1437c4c9663b534
1518547a3922b75
hexb7b80bd0d65a

202001100101210 has 64 divisors (see below), whose sum is σ = 367600479900192. Its totient is φ = 79916819275776.

The previous prime is 202001100101173. The next prime is 202001100101219. The reversal of 202001100101210 is 12101001100202.

It can be written as a sum of positive squares in 16 ways, for example, as 193150707149689 + 8850392951521 = 13897867^2 + 2974961^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202001100101191 and 202001100101200.

It is not an unprimeable number, because it can be changed into a prime (202001100101219) 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, 3727411874 + ... + 3727466066.

Almost surely, 2202001100101210 is an apocalyptic number.

202001100101210 is a deficient number, since it is larger than the sum of its proper divisors (165599379798982).

202001100101210 is a wasteful number, since it uses less digits than its factorization.

202001100101210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65507.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 202001100101210 its reverse (12101001100202), we get a palindrome (214102101201412).

The spelling of 202001100101210 in words is "two hundred two trillion, one billion, one hundred million, one hundred one thousand, two hundred ten".

Divisors: 1 2 5 10 173 197 346 394 865 985 1730 1970 10937 21874 34081 54193 54685 68162 108386 109370 170405 270965 340810 541930 1892101 2154589 3784202 4309178 9375389 9460505 10676021 10772945 18750778 18921010 21352042 21545890 46876945 53380105 93753890 106760210 372743897 592708841 745487794 1185417682 1846951633 1863719485 2963544205 3693903266 3727438970 5927088410 9234758165 18469516330 102538629493 116763641677 205077258986 233527283354 512693147465 583818208385 1025386294930 1167636416770 20200110010121 40400220020242 101000550050605 202001100101210