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100314414 = 232191372141
BaseRepresentation
bin1011111101010…
…10110100101110
320222202111111200
411332222310232
5201140030124
613542030330
72325441564
oct576526456
9228674450
10100314414
1151696782
12297183a6
1317a23955
14d473a34
158c17bc9
hex5faad2e

100314414 has 48 divisors (see below), whose sum is σ = 230564880. Its totient is φ = 31432320.

The previous prime is 100314407. The next prime is 100314443. The reversal of 100314414 is 414413001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45784 + ... + 47924.

It is an arithmetic number, because the mean of its divisors is an integer number (4803435).

Almost surely, 2100314414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100314414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115282440).

100314414 is an abundant number, since it is smaller than the sum of its proper divisors (130250466).

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

100314414 is a wasteful number, since it uses less digits than its factorization.

100314414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 100314414 is about 10015.7083623676. The cubic root of 100314414 is about 464.6448345875.

Adding to 100314414 its reverse (414413001), we get a palindrome (514727415).

The spelling of 100314414 in words is "one hundred million, three hundred fourteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 137 171 274 342 411 822 1233 2141 2466 2603 4282 5206 6423 7809 12846 15618 19269 23427 38538 40679 46854 81358 122037 244074 293317 366111 586634 732222 879951 1759902 2639853 5279706 5573023 11146046 16719069 33438138 50157207 100314414