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100420311404 = 227311031112213
BaseRepresentation
bin101110110000110000…
…1000101100101101100
3100121012110112101002202
41131201201011211230
53121130044431104
6114044335441032
710153336364120
oct1354141054554
9317173471082
10100420311404
11396517142a6
1217566686178
13961491310a
144c08bd1580
15292b0b151e
hex176184596c

100420311404 has 48 divisors (see below), whose sum is σ = 207522287616. Its totient is φ = 41608209600.

The previous prime is 100420311403. The next prime is 100420311461. The reversal of 100420311404 is 404113024001.

It is not an unprimeable number, because it can be changed into a prime (100420311403) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 838802 + ... + 951014.

It is an arithmetic number, because the mean of its divisors is an integer number (4323380992).

Almost surely, 2100420311404 is an apocalyptic number.

100420311404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100420311404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103761143808).

100420311404 is an abundant number, since it is smaller than the sum of its proper divisors (107101976212).

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

100420311404 is a wasteful number, since it uses less digits than its factorization.

100420311404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113286 (or 113284 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 100420311404 its reverse (404113024001), we get a palindrome (504533335405).

The spelling of 100420311404 in words is "one hundred billion, four hundred twenty million, three hundred eleven thousand, four hundred four".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 868 1031 2062 4124 7217 14434 28868 31961 63922 112213 127844 223727 224426 447454 448852 785491 894908 1570982 3141964 3478603 6957206 13914412 24350221 48700442 97400884 115691603 231383206 462766412 809841221 1619682442 3239364884 3586439693 7172879386 14345758772 25105077851 50210155702 100420311404