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101007006240 = 25357197152597
BaseRepresentation
bin101111000010001111…
…1001001101000100000
3100122201100111120010010
41132010133021220200
53123330243144430
6114222454404520
710204022246520
oct1360437115040
9318640446103
10101007006240
1139922904868
12176ab060740
1396a933091a
144c62ab3680
152962851cb0
hex17847c9a20

101007006240 has 192 divisors, whose sum is σ = 365473430784. Its totient is φ = 22969970688.

The previous prime is 101007006209. The next prime is 101007006257. The reversal of 101007006240 is 42600700101.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 585622 + ... + 738218.

It is an arithmetic number, because the mean of its divisors is an integer number (1903507452).

Almost surely, 2101007006240 is an apocalyptic number.

101007006240 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 101007006240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182736715392).

101007006240 is an abundant number, since it is smaller than the sum of its proper divisors (264466424544).

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

101007006240 is a wasteful number, since it uses less digits than its factorization.

101007006240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152819 (or 152811 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 101007006240 its reverse (42600700101), we get a palindrome (143607706341).

The spelling of 101007006240 in words is "one hundred one billion, seven million, six thousand, two hundred forty".