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60106141000320 = 27351719891088993
BaseRepresentation
bin11011010101010100011010…
…01011101110001010000000
321212211002110022101222222020
431222222031023232022000
530334234334044002240
6331500214024241440
715442345130520102
oct1552521513561200
9255732408358866
1060106141000320
11181739646a3688
1268a8b81010280
13276cca572441c
1410bb21d1cb572
156e3772ec80d0
hex36aa8d2ee280

60106141000320 has 512 divisors, whose sum is σ = 215934442272000. Its totient is φ = 14130899582976.

The previous prime is 60106141000313. The next prime is 60106141000351. The reversal of 60106141000320 is 2300014160106.

It is a super-2 number, since 2×601061410003202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54649744 + ... + 55738736.

Almost surely, 260106141000320 is an apocalyptic number.

60106141000320 is a gapful number since it is divisible by the number (60) 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 60106141000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107967221136000).

60106141000320 is an abundant number, since it is smaller than the sum of its proper divisors (155828301271680).

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

60106141000320 is a wasteful number, since it uses less digits than its factorization.

60106141000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089140 (or 1089128 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 60106141000320 its reverse (2300014160106), we get a palindrome (62406155160426).

The spelling of 60106141000320 in words is "sixty trillion, one hundred six billion, one hundred forty-one million, three hundred twenty", and thus it is an aban number.