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106011344260 = 22510948629057
BaseRepresentation
bin110001010111011000…
…1001011110110000100
3101010122010001021022201
41202232301023312010
53214102401004020
6120411223004244
710442026362343
oct1425661136604
9333563037281
10106011344260
1140a60705008
1218666b99684
139cc604ab93
1451b9583b5a
152b56d63a0a
hex18aec4bd84

106011344260 has 24 divisors (see below), whose sum is σ = 224666247960. Its totient is φ = 42015504384.

The previous prime is 106011344249. The next prime is 106011344261. The reversal of 106011344260 is 62443110601.

It can be written as a sum of positive squares in 4 ways, for example, as 20860602624 + 85150741636 = 144432^2 + 291806^2 .

It is a super-2 number, since 2×1060113442602 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106011344261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24312349 + ... + 24316708.

It is an arithmetic number, because the mean of its divisors is an integer number (9361093665).

Almost surely, 2106011344260 is an apocalyptic number.

106011344260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106011344260 is an abundant number, since it is smaller than the sum of its proper divisors (118654903700).

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

106011344260 is a wasteful number, since it uses less digits than its factorization.

106011344260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48629175 (or 48629173 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 106011344260 its reverse (62443110601), we get a palindrome (168454454861).

The spelling of 106011344260 in words is "one hundred six billion, eleven million, three hundred forty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 109 218 436 545 1090 2180 48629057 97258114 194516228 243145285 486290570 972581140 5300567213 10601134426 21202268852 26502836065 53005672130 106011344260