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100142241017 = 71323190125169
BaseRepresentation
bin101110101000011110…
…0010101010011111001
3100120111002021221020112
41131100330111103321
53120042403203032
6114001003434105
710143422001230
oct1352074252371
9316432257215
10100142241017
1139519758965
12174a9525935
13959c122b20
144bbdcc9b17
1529119851b2
hex1750f154f9

100142241017 has 32 divisors (see below), whose sum is σ = 128683537920. Its totient is φ = 75745612800.

The previous prime is 100142240983. The next prime is 100142241019. The reversal of 100142241017 is 710142241001.

It is not a de Polignac number, because 100142241017 - 26 = 100142240953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 100142240983 and 100142241001.

It is not an unprimeable number, because it can be changed into a prime (100142241019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3966209 + ... + 3991377.

It is an arithmetic number, because the mean of its divisors is an integer number (4021360560).

Almost surely, 2100142241017 is an apocalyptic number.

It is an amenable number.

100142241017 is a deficient number, since it is larger than the sum of its proper divisors (28541296903).

100142241017 is a wasteful number, since it uses less digits than its factorization.

100142241017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27113.

The product of its (nonzero) digits is 448, while the sum is 23.

Adding to 100142241017 its reverse (710142241001), we get a palindrome (810284482018).

The spelling of 100142241017 in words is "one hundred billion, one hundred forty-two million, two hundred forty-one thousand, seventeen".

Divisors: 1 7 13 23 91 161 299 1901 2093 13307 24713 25169 43723 172991 176183 306061 327197 568399 578887 2290379 3978793 4052209 7525531 47846269 52678717 334923883 622001497 1100464187 4354010479 7703249309 14306034431 100142241017