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106214313556 = 22135338539301
BaseRepresentation
bin110001011101011011…
…1011100111001010100
3101011011020222011212001
41202322313130321110
53220011331013211
6120443313205044
710450042524511
oct1427267347124
9334136864761
10106214313556
114105523592a
1218702b60784
13a029104860
1451d84da308
152b69aa7ac1
hex18baddce54

106214313556 has 24 divisors (see below), whose sum is σ = 203949986184. Its totient is φ = 48097046400.

The previous prime is 106214313553. The next prime is 106214313563. The reversal of 106214313556 is 655313412601.

It can be written as a sum of positive squares in 4 ways, for example, as 62157456 + 106152156100 = 7884^2 + 325810^2 .

It is a super-2 number, since 2×1062143135562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106214313553) 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, 19266895 + ... + 19272406.

It is an arithmetic number, because the mean of its divisors is an integer number (8497916091).

Almost surely, 2106214313556 is an apocalyptic number.

It is an amenable number.

106214313556 is a deficient number, since it is larger than the sum of its proper divisors (97735672628).

106214313556 is a wasteful number, since it uses less digits than its factorization.

106214313556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38539371 (or 38539369 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 106214313556 in words is "one hundred six billion, two hundred fourteen million, three hundred thirteen thousand, five hundred fifty-six".

Divisors: 1 2 4 13 26 52 53 106 212 689 1378 2756 38539301 77078602 154157204 501010913 1002021826 2004043652 2042582953 4085165906 8170331812 26553578389 53107156778 106214313556