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101002002210 = 23251122244469
BaseRepresentation
bin101111000010000110…
…0000011111100100010
3100122201000002022212200
41132010030003330202
53123323003032320
6114222155234030
710203631565514
oct1360414037442
9318630068780
10101002002210
113991aaa71aa
12176a9448916
1396a829b065
144c6216dbb4
1529621b4290
hex1784303f22

101002002210 has 24 divisors (see below), whose sum is σ = 262605205980. Its totient is φ = 26933867232.

The previous prime is 101002002209. The next prime is 101002002217. The reversal of 101002002210 is 12200200101.

It can be written as a sum of positive squares in 2 ways, for example, as 95776013529 + 5225988681 = 309477^2 + 72291^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101002002192 and 101002002201.

It is not an unprimeable number, because it can be changed into a prime (101002002217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561122145 + ... + 561122324.

Almost surely, 2101002002210 is an apocalyptic number.

101002002210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101002002210 is an abundant number, since it is smaller than the sum of its proper divisors (161603203770).

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

101002002210 is a wasteful number, since it uses less digits than its factorization.

101002002210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122244482 (or 1122244479 counting only the distinct ones).

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

Adding to 101002002210 its reverse (12200200101), we get a palindrome (113202202311).

The spelling of 101002002210 in words is "one hundred one billion, two million, two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1122244469 2244488938 3366733407 5611222345 6733466814 10100200221 11222444690 16833667035 20200400442 33667334070 50501001105 101002002210