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20030123100 = 223521329177101
BaseRepresentation
bin10010101001111000…
…110110110001011100
31220200221012200101010
4102221320312301130
5312010202414400
613111323015220
71306236144231
oct225170666134
956627180333
1020030123100
118549533a49
123a7006a510
131b729c3960
14d802c7788
157c371b450
hex4a9e36c5c

20030123100 has 144 divisors (see below), whose sum is σ = 64564305120. Its totient is φ = 4760448000.

The previous prime is 20030123083. The next prime is 20030123101. The reversal of 20030123100 is 132103002.

It is a happy number.

It is a super-2 number, since 2×200301231002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20030123101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24550 + ... + 201650.

It is an arithmetic number, because the mean of its divisors is an integer number (448363230).

Almost surely, 220030123100 is an apocalyptic number.

20030123100 is a gapful number since it is divisible by the number (20) 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 20030123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32282152560).

20030123100 is an abundant number, since it is smaller than the sum of its proper divisors (44534182020).

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

20030123100 is a wasteful number, since it uses less digits than its factorization.

20030123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177160 (or 177153 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 20030123100 its reverse (132103002), we get a palindrome (20162226102).

The spelling of 20030123100 in words is "twenty billion, thirty million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 29 30 39 50 52 58 60 65 75 78 87 100 116 130 145 150 156 174 195 260 290 300 325 348 377 390 435 580 650 725 754 780 870 975 1131 1300 1450 1508 1740 1885 1950 2175 2262 2900 3770 3900 4350 4524 5655 7540 8700 9425 11310 18850 22620 28275 37700 56550 113100 177101 354202 531303 708404 885505 1062606 1771010 2125212 2302313 2656515 3542020 4427525 4604626 5135929 5313030 6906939 8855050 9209252 10271858 10626060 11511565 13282575 13813878 15407787 17710100 20543716 23023130 25679645 26565150 27627756 30815574 34534695 46046260 51359290 53130300 57557825 61631148 66767077 69069390 77038935 102718580 115115650 128398225 133534154 138138780 154077870 172673475 200301231 230231300 256796450 267068308 308155740 333835385 345346950 385194675 400602462 513592900 667670770 690693900 770389350 801204924 1001506155 1335341540 1540778700 1669176925 2003012310 3338353850 4006024620 5007530775 6676707700 10015061550 20030123100