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20045433100 = 22527119472749
BaseRepresentation
bin10010101010110011…
…010000100100001100
31220202000000111202011
4102222303100210030
5312023112324400
613113031111004
71306513240630
oct225263204414
956660014664
1020045433100
118557140640
123a75212464
131b75c24424
14d82350dc0
157c4c428ba
hex4aacd090c

20045433100 has 144 divisors (see below), whose sum is σ = 54309024000. Its totient is φ = 6239059200.

The previous prime is 20045433059. The next prime is 20045433101. The reversal of 20045433100 is 133454002.

It is a super-2 number, since 2×200454331002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (20045433101) 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, 7290526 + ... + 7293274.

It is an arithmetic number, because the mean of its divisors is an integer number (377146000).

Almost surely, 220045433100 is an apocalyptic number.

20045433100 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 20045433100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27154512000).

20045433100 is an abundant number, since it is smaller than the sum of its proper divisors (34263590900).

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

20045433100 is a wasteful number, since it uses less digits than its factorization.

20045433100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 20045433100 its reverse (133454002), we get a palindrome (20178887102).

The spelling of 20045433100 in words is "twenty billion, forty-five million, four hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 947 1100 1540 1894 1925 2749 3788 3850 4735 5498 6629 7700 9470 10417 10996 13258 13745 18940 19243 20834 23675 26516 27490 30239 33145 38486 41668 47350 52085 54980 60478 66290 68725 72919 76972 94700 96215 104170 120956 132580 137450 145838 151195 165725 192430 208340 211673 260425 274900 291676 302390 331450 364595 384860 423346 481075 520850 604780 662900 729190 755975 846692 962150 1041700 1058365 1458380 1511950 1822975 1924300 2116730 2603303 3023900 3645950 4233460 5206606 5291825 7291900 10413212 10583650 13016515 18223121 21167300 26033030 28636333 36446242 52066060 57272666 65082575 72892484 91115605 114545332 130165150 143181665 182231210 200454331 260330300 286363330 364462420 400908662 455578025 572726660 715908325 801817324 911156050 1002271655 1431816650 1822312100 2004543310 2863633300 4009086620 5011358275 10022716550 20045433100