Search a number
-
+
102200021010 = 23253730690697
BaseRepresentation
bin101111100101110011…
…0001001000000010010
3100202210111100222201100
41133023212021000102
53133301201133020
6114541113045230
710245416562633
oct1371346110022
9322714328640
10102200021010
113a38527a48a
12179826b6816
13983954a819
144d3730588a
1529d245ca90
hex17cb989012

102200021010 has 48 divisors (see below), whose sum is σ = 272901686616. Its totient is φ = 26516761344.

The previous prime is 102200021003. The next prime is 102200021129. The reversal of 102200021010 is 10120002201.

It can be written as a sum of positive squares in 4 ways, for example, as 76243911129 + 25956109881 = 276123^2 + 161109^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102200020983 and 102200021001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15342019 + ... + 15348678.

Almost surely, 2102200021010 is an apocalyptic number.

102200021010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102200021010 is an abundant number, since it is smaller than the sum of its proper divisors (170701665606).

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

102200021010 is a wasteful number, since it uses less digits than its factorization.

102200021010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30690747 (or 30690744 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102200021010 its reverse (10120002201), we get a palindrome (112320023211).

The spelling of 102200021010 in words is "one hundred two billion, two hundred million, twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 30690697 61381394 92072091 153453485 184144182 276216273 306906970 460360455 552432546 920720910 1135555789 1381081365 2271111578 2762162730 3406667367 5677778945 6813334734 10220002101 11355557890 17033336835 20440004202 34066673670 51100010505 102200021010