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20421034201100 = 225213210691130351
BaseRepresentation
bin1001010010010101001000…
…11111010101000000001100
32200022020020222121000002202
410221022210133111000030
510134034234223413400
6111233143230141032
74205241156464231
oct451124437250014
980266228530082
1020421034201100
11656356a482005
122359897051778
13b51906650100
14508551bd7788
152562e81d54d5
hex1292a47d500c

20421034201100 has 108 divisors (see below), whose sum is σ = 48029526851040. Its totient is φ = 7533014112000.

The previous prime is 20421034201093. The next prime is 20421034201109. The reversal of 20421034201100 is 110243012402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20421034201109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17500925 + ... + 18631275.

Almost surely, 220421034201100 is an apocalyptic number.

20421034201100 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 20421034201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24014763425520).

20421034201100 is an abundant number, since it is smaller than the sum of its proper divisors (27608492649940).

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

20421034201100 is a wasteful number, since it uses less digits than its factorization.

20421034201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131460 (or 1131440 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 20421034201100 its reverse (110243012402), we get a palindrome (20531277213502).

The spelling of 20421034201100 in words is "twenty trillion, four hundred twenty-one billion, thirty-four million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1069 1300 1690 2138 3380 4225 4276 5345 8450 10690 13897 16900 21380 26725 27794 53450 55588 69485 106900 138970 180661 277940 347425 361322 694850 722644 903305 1130351 1389700 1806610 2260702 3613220 4516525 4521404 5651755 9033050 11303510 14694563 18066100 22607020 28258775 29389126 56517550 58778252 73472815 113035100 146945630 191029319 293891260 367364075 382058638 734728150 764117276 955146595 1208345219 1469456300 1910293190 2416690438 3820586380 4775732975 4833380876 6041726095 9551465950 12083452190 15708487847 19102931900 24166904380 30208630475 31416975694 60417260950 62833951388 78542439235 120834521900 157084878470 204210342011 314169756940 392712196175 408420684022 785424392350 816841368044 1021051710055 1570848784700 2042103420110 4084206840220 5105258550275 10210517100550 20421034201100