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101002201212 = 223113492192459
BaseRepresentation
bin101111000010000110…
…0110100100001111100
3100122201000110102212010
41132010030310201330
53123323030414322
6114222203411220
710203633354633
oct1360414644174
9318630412763
10101002201212
1139920122770
12176a9523b10
1396a833a803
144c621c251a
15296220320c
hex178433487c

101002201212 has 48 divisors (see below), whose sum is σ = 257833296000. Its totient is φ = 30519015360.

The previous prime is 101002201211. The next prime is 101002201297. The reversal of 101002201212 is 212102200101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002201211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1050162 + ... + 1142297.

It is an arithmetic number, because the mean of its divisors is an integer number (5371527000).

Almost surely, 2101002201212 is an apocalyptic number.

101002201212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101002201212 is an abundant number, since it is smaller than the sum of its proper divisors (156831094788).

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

101002201212 is a wasteful number, since it uses less digits than its factorization.

101002201212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192826 (or 2192824 counting only the distinct ones).

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

Adding to 101002201212 its reverse (212102200101), we get a palindrome (313104401313).

The spelling of 101002201212 in words is "one hundred one billion, two million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 349 698 1047 1396 2094 3839 4188 7678 11517 15356 23034 46068 2192459 4384918 6577377 8769836 13154754 24117049 26309508 48234098 72351147 96468196 144702294 289404588 765168191 1530336382 2295504573 3060672764 4591009146 8416850101 9182018292 16833700202 25250550303 33667400404 50501100606 101002201212