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106010150016 = 273449614851
BaseRepresentation
bin110001010111010110…
…0101000010010000000
3101010122000210121010110
41202232230220102000
53214102044300031
6120411141231320
710442013256521
oct1425654502200
9333560717113
10106010150016
1140a5aa69831
1218666702540
139cc5a20424
1451b9352848
152b56bc9c46
hex18aeb28480

106010150016 has 64 divisors (see below), whose sum is σ = 282217068000. Its totient is φ = 35257958400.

The previous prime is 106010149979. The next prime is 106010150021. The reversal of 106010150016 is 610051010601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1060101500162 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106010149974 and 106010150001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135010 + ... + 479841.

Almost surely, 2106010150016 is an apocalyptic number.

106010150016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106010150016 is an abundant number, since it is smaller than the sum of its proper divisors (176206917984).

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

106010150016 is an equidigital number, since it uses as much as digits as its factorization.

106010150016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615317 (or 615305 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 106010150016 its reverse (610051010601), we get a palindrome (716061160617).

The spelling of 106010150016 in words is "one hundred six billion, ten million, one hundred fifty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 449 898 1347 1796 2694 3592 5388 7184 10776 14368 21552 28736 43104 57472 86208 172416 614851 1229702 1844553 2459404 3689106 4918808 7378212 9837616 14756424 19675232 29512848 39350464 59025696 78700928 118051392 236102784 276068099 552136198 828204297 1104272396 1656408594 2208544792 3312817188 4417089584 6625634376 8834179168 13251268752 17668358336 26502537504 35336716672 53005075008 106010150016