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20040101100 = 22325299122469
BaseRepresentation
bin10010101010011110…
…111010110011101100
31220201121222121121200
4102222132322303230
5312020231213400
613112320525500
71306420022505
oct225236726354
956647877550
1020040101100
118554129628
123a73480890
131b74aa84b6
14d81763bac
157c453cb00
hex4aa7bacec

20040101100 has 108 divisors (see below), whose sum is σ = 62880767040. Its totient is φ = 5338396800.

The previous prime is 20040101093. The next prime is 20040101111. The reversal of 20040101100 is 110104002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 880666 + ... + 903134.

Almost surely, 220040101100 is an apocalyptic number.

20040101100 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 20040101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31440383520).

20040101100 is an abundant number, since it is smaller than the sum of its proper divisors (42840665940).

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

20040101100 is a wasteful number, since it uses less digits than its factorization.

20040101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23480 (or 23470 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20040101100 its reverse (110104002), we get a palindrome (20150205102).

The spelling of 20040101100 in words is "twenty billion, forty million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 991 1982 2973 3964 4955 5946 8919 9910 11892 14865 17838 19820 22469 24775 29730 35676 44595 44938 49550 59460 67407 74325 89190 89876 99100 112345 134814 148650 178380 202221 222975 224690 269628 297300 337035 404442 445950 449380 561725 674070 808884 891900 1011105 1123450 1348140 1685175 2022210 2246900 3370350 4044420 5055525 6740700 10111050 20222100 22266779 44533558 66800337 89067116 111333895 133600674 200401011 222667790 267201348 334001685 400802022 445335580 556669475 668003370 801604044 1002005055 1113338950 1336006740 1670008425 2004010110 2226677900 3340016850 4008020220 5010025275 6680033700 10020050550 20040101100