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100242225001 = 19137383100549
BaseRepresentation
bin101110101011011100…
…1101111011101101001
3100120202001102122111001
41131112321233131221
53120244002200001
6114014534435001
710146044565562
oct1352671573551
9316661378431
10100242225001
1139570139356
1217516b02a61
1395b6a5c249
144bcd2b5169
15291a635001
hex1756e6f769

100242225001 has 16 divisors (see below), whose sum is σ = 106566912000. Its totient is φ = 94026054528.

The previous prime is 100242224969. The next prime is 100242225019. The reversal of 100242225001 is 100522242001.

It is not a de Polignac number, because 100242225001 - 25 = 100242224969 is a prime.

It is a super-2 number, since 2×1002422250012 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100242225001.

It is not an unprimeable number, because it can be changed into a prime (100242225101) 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, 946675 + ... + 1047223.

It is an arithmetic number, because the mean of its divisors is an integer number (6660432000).

Almost surely, 2100242225001 is an apocalyptic number.

It is an amenable number.

100242225001 is a deficient number, since it is larger than the sum of its proper divisors (6324686999).

100242225001 is a wasteful number, since it uses less digits than its factorization.

100242225001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101088.

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 100242225001 its reverse (100522242001), we get a palindrome (200764467002).

It can be divided in two parts, 10024 and 2225001, that added together give a square (2235025 = 14952).

The spelling of 100242225001 in words is "one hundred billion, two hundred forty-two million, two hundred twenty-five thousand, one".

Divisors: 1 19 137 383 2603 7277 52471 100549 996949 1910431 13775213 38510267 261729047 731695073 5275906579 100242225001