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106280083830 = 23523154029107
BaseRepresentation
bin110001011111011001…
…0010110000101110110
3101011022211201122201010
41202332302112011312
53220130200140310
6120454023013050
710451501543544
oct1427662260566
9334284648633
10106280083830
1141089378028
1218720b9a186
13a03992208b
14520313ad94
152b7074a320
hex18bec96176

106280083830 has 32 divisors (see below), whose sum is σ = 266162298624. Its totient is φ = 27109122656.

The previous prime is 106280083817. The next prime is 106280083841. The reversal of 106280083830 is 38380082601.

It is a super-2 number, since 2×1062800838302 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77013864 + ... + 77015243.

It is an arithmetic number, because the mean of its divisors is an integer number (8317571832).

Almost surely, 2106280083830 is an apocalyptic number.

106280083830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106280083830 is an abundant number, since it is smaller than the sum of its proper divisors (159882214794).

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

106280083830 is a wasteful number, since it uses less digits than its factorization.

106280083830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154029140.

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 106280083830 in words is "one hundred six billion, two hundred eighty million, eighty-three thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 154029107 308058214 462087321 770145535 924174642 1540291070 2310436605 3542669461 4620873210 7085338922 10628008383 17713347305 21256016766 35426694610 53140041915 106280083830