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1012212210 = 235477110111
BaseRepresentation
bin111100010101010…
…010000111110010
32121112122201010010
4330111102013302
54033111242320
6244235115350
734040443002
oct7425220762
92545581103
101012212210
1147a405019
12242ba2b56
13131924949
149860a002
155dce4ae0
hex3c5521f2

1012212210 has 64 divisors (see below), whose sum is σ = 2516189184. Its totient is φ = 260433600.

The previous prime is 1012212191. The next prime is 1012212211. The reversal of 1012212210 is 122122101.

1012212210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1012212211) 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, 95055 + ... + 105165.

It is an arithmetic number, because the mean of its divisors is an integer number (39315456).

Almost surely, 21012212210 is an apocalyptic number.

1012212210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012212210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258094592).

1012212210 is an abundant number, since it is smaller than the sum of its proper divisors (1503976974).

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

1012212210 is a wasteful number, since it uses less digits than its factorization.

1012212210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10239.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1012212210 is about 31815.2826484380. The cubic root of 1012212210 is about 1004.0542772887.

Adding to 1012212210 its reverse (122122101), we get a palindrome (1134334311).

The spelling of 1012212210 in words is "one billion, twelve million, two hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 71 94 141 142 213 235 282 355 426 470 705 710 1065 1410 2130 3337 6674 10011 10111 16685 20022 20222 30333 33370 50055 50555 60666 100110 101110 151665 303330 475217 717881 950434 1425651 1435762 2153643 2376085 2851302 3589405 4307286 4752170 7128255 7178810 10768215 14256510 21536430 33740407 67480814 101221221 168702035 202442442 337404070 506106105 1012212210