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101011002210 = 2345124704941
BaseRepresentation
bin101111000010010111…
…0011001001101100010
3100122201122000120120000
41132010232121031202
53123332304032320
6114223120200430
710204101231546
oct1360456311542
9318648016500
10101011002210
1139925094018
12176b0469116
1396aa0cc6c1
144c63433a26
152962d90c90
hex1784b99362

101011002210 has 40 divisors (see below), whose sum is σ = 271607363676. Its totient is φ = 26936267040.

The previous prime is 101011002167. The next prime is 101011002217. The reversal of 101011002210 is 12200110101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 95913470601 + 5097531609 = 309699^2 + 71397^2 .

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 = 101011002192 and 101011002201.

It is not an unprimeable number, because it can be changed into a prime (101011002217) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62351661 + ... + 62353280.

Almost surely, 2101011002210 is an apocalyptic number.

101011002210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101011002210 is an abundant number, since it is smaller than the sum of its proper divisors (170596361466).

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

101011002210 is a wasteful number, since it uses less digits than its factorization.

101011002210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124704960 (or 124704951 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101011002210 its reverse (12200110101), we get a palindrome (113211112311).

The spelling of 101011002210 in words is "one hundred one billion, eleven million, two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 124704941 249409882 374114823 623524705 748229646 1122344469 1247049410 1870574115 2244688938 3367033407 3741148230 5611722345 6734066814 10101100221 11223444690 16835167035 20202200442 33670334070 50505501105 101011002210