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101006102442 = 2375940761139
BaseRepresentation
bin101111000010001101…
…1101100111110101010
3100122201021210122100010
41132010123230332222
53123330030234232
6114222423152350
710204011463530
oct1360433547652
9318637718303
10101006102442
1139922347823
12176aa8a56b6
1396a90a542b
144c6291a150
1529627240cc
hex17846ecfaa

101006102442 has 32 divisors (see below), whose sum is σ = 234784166400. Its totient is φ = 28369752048.

The previous prime is 101006102437. The next prime is 101006102443. The reversal of 101006102442 is 244201600101.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (101006102443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20378092 + ... + 20383047.

It is an arithmetic number, because the mean of its divisors is an integer number (7337005200).

Almost surely, 2101006102442 is an apocalyptic number.

101006102442 is an abundant number, since it is smaller than the sum of its proper divisors (133778063958).

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

101006102442 is a wasteful number, since it uses less digits than its factorization.

101006102442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40761210.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 101006102442 its reverse (244201600101), we get a palindrome (345207702543).

The spelling of 101006102442 in words is "one hundred one billion, six million, one hundred two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 59 118 177 354 413 826 1239 2478 40761139 81522278 122283417 244566834 285327973 570655946 855983919 1711967838 2404907201 4809814402 7214721603 14429443206 16834350407 33668700814 50503051221 101006102442