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10106055192 = 23323971731091
BaseRepresentation
bin10010110100101111…
…00010101000011000
3222002022022210111110
421122113202220120
5131144122231232
64350451500320
7505303023522
oct113227425030
928068283443
1010106055192
114316671932
121b605b76a0
13c5097111c
146bc28ca12
153e235bacc
hex25a5e2a18

10106055192 has 128 divisors (see below), whose sum is σ = 26813928960. Its totient is φ = 3167662080.

The previous prime is 10106055173. The next prime is 10106055241. The reversal of 10106055192 is 29155060101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9262567 + ... + 9263657.

It is an arithmetic number, because the mean of its divisors is an integer number (209483820).

Almost surely, 210106055192 is an apocalyptic number.

10106055192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10106055192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13406964480).

10106055192 is an abundant number, since it is smaller than the sum of its proper divisors (16707873768).

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

10106055192 is a wasteful number, since it uses less digits than its factorization.

10106055192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 30.

The spelling of 10106055192 in words is "ten billion, one hundred six million, fifty-five thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 97 138 173 184 194 276 291 346 388 519 552 582 692 776 1038 1091 1164 1384 2076 2182 2231 2328 3273 3979 4152 4364 4462 6546 6693 7958 8728 8924 11937 13092 13386 15916 16781 17848 23874 25093 26184 26772 31832 33562 47748 50186 50343 53544 67124 75279 95496 100372 100686 105827 134248 150558 188743 200744 201372 211654 301116 317481 377486 385963 402744 423308 566229 602232 634962 754972 771926 846616 1132458 1157889 1269924 1509944 1543852 2264916 2315778 2434021 2539848 3087704 4341089 4529832 4631556 4868042 7302063 8682178 9263112 9736084 13023267 14604126 17364356 18308071 19472168 26046534 29208252 34728712 36616142 52093068 54924213 58416504 73232284 104186136 109848426 146464568 219696852 421085633 439393704 842171266 1263256899 1684342532 2526513798 3368685064 5053027596 10106055192