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101060270740 = 2251113891013931
BaseRepresentation
bin101111000011110101…
…0010101101010010100
3100122212001201200021101
41132013222111222110
53123432412130430
6114232040155444
710205240061562
oct1360752255224
9318761650241
10101060270740
113994a985210
1217704a68b84
1396b738cb90
144c69bbaa32
152967373dca
hex1787a95a94

101060270740 has 192 divisors, whose sum is σ = 254691682560. Its totient is φ = 33200640000.

The previous prime is 101060270737. The next prime is 101060270741. The reversal of 101060270740 is 47072060101.

It is a junction number, because it is equal to n+sod(n) for n = 101060270699 and 101060270708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101060270741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25706575 + ... + 25710505.

It is an arithmetic number, because the mean of its divisors is an integer number (1326519180).

Almost surely, 2101060270740 is an apocalyptic number.

101060270740 is a gapful number since it is divisible by the number (10) 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 101060270740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127345841280).

101060270740 is an abundant number, since it is smaller than the sum of its proper divisors (153631411820).

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

101060270740 is a wasteful number, since it uses less digits than its factorization.

101060270740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4154 (or 4152 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The spelling of 101060270740 in words is "one hundred one billion, sixty million, two hundred seventy thousand, seven hundred forty".