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101140302429 = 345373332141
BaseRepresentation
bin101111000110001101…
…1101000101001011101
3100200001122022201010000
41132030123220221131
53124113404134204
6114244015404513
710210231246245
oct1361433505135
9320048281100
10101140302429
1139991078201
1217727823739
1396cab317ca
144c76690b25
15296e3d2039
hex178c6e8a5d

101140302429 has 40 divisors (see below), whose sum is σ = 154151617752. Its totient is φ = 66062355840.

The previous prime is 101140302379. The next prime is 101140302437. The reversal of 101140302429 is 924203041101.

It is a happy number.

101140302429 is a `hidden beast` number, since 1 + 0 + 11 + 403 + 0 + 242 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 85214367225 + 15925935204 = 291915^2 + 126198^2 .

It is not a de Polignac number, because 101140302429 - 27 = 101140302301 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101140306429) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3130699 + ... + 3162839.

Almost surely, 2101140302429 is an apocalyptic number.

It is an amenable number.

101140302429 is a deficient number, since it is larger than the sum of its proper divisors (53011315323).

101140302429 is an equidigital number, since it uses as much as digits as its factorization.

101140302429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32939 (or 32930 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 101140302429 in words is "one hundred one billion, one hundred forty million, three hundred two thousand, four hundred twenty-nine".

Divisors: 1 3 9 27 53 81 159 477 733 1431 2199 4293 6597 19791 32141 38849 59373 96423 116547 289269 349641 867807 1048923 1703473 2603421 3146769 5110419 15331257 23559353 45993771 70678059 137981313 212034177 636102531 1248645709 1908307593 3745937127 11237811381 33713434143 101140302429