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1021140424100 = 2252103211346919
BaseRepresentation
bin11101101110000001011…
…01100101010110100100
310121121202000212020111102
432313000231211112210
5113212243422032400
62101034435055232
7133526545251356
oct16670055452644
93547660766442
101021140424100
1136407716a475
12145aa1a41518
13753a7008a24
14375cdd910d6
151b8676a09d5
hexedc0b655a4

1021140424100 has 72 divisors (see below), whose sum is σ = 2238494643840. Its totient is φ = 404290529280.

The previous prime is 1021140424091. The next prime is 1021140424121. The reversal of 1021140424100 is 14240411201.

1021140424100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10211404241002 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21740441 + ... + 21787359.

Almost surely, 21021140424100 is an apocalyptic number.

1021140424100 is a gapful number since it is divisible by the number (10) 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 1021140424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119247321920).

1021140424100 is an abundant number, since it is smaller than the sum of its proper divisors (1217354219740).

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

1021140424100 is a wasteful number, since it uses less digits than its factorization.

1021140424100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49149 (or 49142 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 1021140424100 its reverse (14240411201), we get a palindrome (1035380835301).

The spelling of 1021140424100 in words is "one trillion, twenty-one billion, one hundred forty million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 515 1030 2060 2113 2575 4226 5150 8452 10300 10565 21130 42260 46919 52825 93838 105650 187676 211300 217639 234595 435278 469190 870556 938380 1088195 1172975 2176390 2345950 4352780 4691900 4832657 5440975 9665314 10881950 19330628 21763900 24163285 48326570 96653140 99139847 120816425 198279694 241632850 396559388 483265700 495699235 991398470 1982796940 2478496175 4956992350 9913984700 10211404241 20422808482 40845616964 51057021205 102114042410 204228084820 255285106025 510570212050 1021140424100