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101715340140 = 2234562787247
BaseRepresentation
bin101111010111010110…
…1001110101101101100
3100201112201100122120000
41132232231032231230
53131303111341030
6114421040424300
710230413061111
oct1365655165554
9321481318500
10101715340140
113a156726587
1217868318090
13978ccca3cb
144cccbba908
1529a4b1d860
hex17aeb4eb6c

101715340140 has 60 divisors (see below), whose sum is σ = 319084794336. Its totient is φ = 27124090272.

The previous prime is 101715340121. The next prime is 101715340147. The reversal of 101715340140 is 41043517101.

101715340140 is a `hidden beast` number, since 1 + 0 + 171 + 53 + 401 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101715340147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31392004 + ... + 31395243.

Almost surely, 2101715340140 is an apocalyptic number.

101715340140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101715340140 is an abundant number, since it is smaller than the sum of its proper divisors (217369454196).

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

101715340140 is a wasteful number, since it uses less digits than its factorization.

101715340140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62787268 (or 62787257 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 101715340140 its reverse (41043517101), we get a palindrome (142758857241).

The spelling of 101715340140 in words is "one hundred one billion, seven hundred fifteen million, three hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 62787247 125574494 188361741 251148988 313936235 376723482 565085223 627872470 753446964 941808705 1130170446 1255744940 1695255669 1883617410 2260340892 2825426115 3390511338 3767234820 5085767007 5650852230 6781022676 8476278345 10171534014 11301704460 16952556690 20343068028 25428835035 33905113380 50857670070 101715340140