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20023121300 = 225271319911057
BaseRepresentation
bin10010101001011110…
…001001010110010100
31220200110000221201012
4102221132021112110
5312001404340200
613110512551352
71306122502640
oct225136112624
956613027635
1020023121300
118545591436
123a69852558
131b71411990
14d7d3c3c20
157c2cd6a35
hex4a9789594

20023121300 has 144 divisors (see below), whose sum is σ = 53750726400. Its totient is φ = 6304573440.

The previous prime is 20023121297. The next prime is 20023121381. The reversal of 20023121300 is 312132002.

It is a happy number.

It is a super-3 number, since 3×200231213003 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1805372 + ... + 1816428.

Almost surely, 220023121300 is an apocalyptic number.

20023121300 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 20023121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26875363200).

20023121300 is an abundant number, since it is smaller than the sum of its proper divisors (33727605100).

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

20023121300 is a wasteful number, since it uses less digits than its factorization.

20023121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11290 (or 11283 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20023121300 its reverse (312132002), we get a palindrome (20335253302).

The spelling of 20023121300 in words is "twenty billion, twenty-three million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 199 260 325 350 364 398 455 650 700 796 910 995 1300 1393 1820 1990 2275 2587 2786 3980 4550 4975 5174 5572 6965 9100 9950 10348 11057 12935 13930 18109 19900 22114 25870 27860 34825 36218 44228 51740 55285 64675 69650 72436 77399 90545 110570 129350 139300 143741 154798 181090 221140 258700 276425 287482 309596 362180 386995 452725 552850 574964 718705 773990 905450 1006187 1105700 1437410 1547980 1810900 1934975 2012374 2200343 2874820 3593525 3869950 4024748 4400686 5030935 7187050 7739900 8801372 10061870 11001715 14374100 15402401 20123740 22003430 25154675 28604459 30804802 44006860 50309350 55008575 57208918 61609604 77012005 100618700 110017150 114417836 143022295 154024010 200231213 220034300 286044590 308048020 385060025 400462426 572089180 715111475 770120050 800924852 1001156065 1430222950 1540240100 2002312130 2860445900 4004624260 5005780325 10011560650 20023121300