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10101001040 = 245139712501
BaseRepresentation
bin10010110100001000…
…10000101101010000
3222001221211000111122
421122010100231100
5131141324013130
64350151301412
7505212043424
oct113204205520
928057730448
1010101001040
11431382a649
121b5a97a868
13c4c8c17c0
146bb734b84
153e1bae2e5
hex25a110b50

10101001040 has 40 divisors (see below), whose sum is σ = 25291355208. Its totient is φ = 3729600000.

The previous prime is 10101001037. The next prime is 10101001123. The reversal of 10101001040 is 4010010101.

It can be written as a sum of positive squares in 4 ways, for example, as 1947633424 + 8153367616 = 44132^2 + 90296^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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, 4855211 + ... + 4857290.

Almost surely, 210101001040 is an apocalyptic number.

10101001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101001040 is an abundant number, since it is smaller than the sum of its proper divisors (15190354168).

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

10101001040 is a wasteful number, since it uses less digits than its factorization.

10101001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9712527 (or 9712521 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10101001040 its reverse (4010010101), we get a palindrome (14111011141).

The spelling of 10101001040 in words is "ten billion, one hundred one million, one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 9712501 19425002 38850004 48562505 77700008 97125010 126262513 155400016 194250020 252525026 388500040 505050052 631312565 777000080 1010100104 1262625130 2020200208 2525250260 5050500520 10101001040