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100385000628 = 223116112467089
BaseRepresentation
bin101110101111101101…
…0011000110010110100
3100121010000002101211020
41131133122120302310
53121042030010003
6114041034541140
710152430266213
oct1353732306264
9317100071736
10100385000628
1139633796840
12175568977b0
13960a4cba73
144c0423d07a
152927e38d53
hex175f698cb4

100385000628 has 48 divisors (see below), whose sum is σ = 259714418880. Its totient is φ = 29921011200.

The previous prime is 100385000621. The next prime is 100385000633. The reversal of 100385000628 is 826000583001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100385000621) 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, 6225493 + ... + 6241596.

It is an arithmetic number, because the mean of its divisors is an integer number (5410717060).

Almost surely, 2100385000628 is an apocalyptic number.

It is an amenable number.

100385000628 is an abundant number, since it is smaller than the sum of its proper divisors (159329418252).

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

100385000628 is a wasteful number, since it uses less digits than its factorization.

100385000628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12467168 (or 12467166 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

Adding to 100385000628 its reverse (826000583001), we get a palindrome (926385583629).

The spelling of 100385000628 in words is "one hundred billion, three hundred eighty-five million, six hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 122 132 183 244 366 671 732 1342 2013 2684 4026 8052 12467089 24934178 37401267 49868356 74802534 137137979 149605068 274275958 411413937 548551916 760492429 822827874 1520984858 1645655748 2281477287 3041969716 4562954574 8365416719 9125909148 16730833438 25096250157 33461666876 50192500314 100385000628