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10055100440 = 23571123141941
BaseRepresentation
bin10010101110101010…
…01010100000011000
3221221202110000201102
421113111022200120
5131043101203230
64341431410532
7504113641430
oct112725124030
927852400642
1010055100440
11429a929870
121b47523a48
13c43240298
146b55c72c0
153dcb44045
hex25754a818

10055100440 has 128 divisors (see below), whose sum is σ = 29433093120. Its totient is φ = 2997772800.

The previous prime is 10055100439. The next prime is 10055100467. The reversal of 10055100440 is 4400155001.

It is a super-2 number, since 2×100551004402 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131 + ... + 141810.

It is an arithmetic number, because the mean of its divisors is an integer number (229946040).

Almost surely, 210055100440 is an apocalyptic number.

10055100440 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 10055100440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14716546560).

10055100440 is an abundant number, since it is smaller than the sum of its proper divisors (19377992680).

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

10055100440 is a wasteful number, since it uses less digits than its factorization.

10055100440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141993 (or 141989 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 10055100440 its reverse (4400155001), we get a palindrome (14455255441).

The spelling of 10055100440 in words is "ten billion, fifty-five million, one hundred thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 23 28 35 40 44 46 55 56 70 77 88 92 110 115 140 154 161 184 220 230 253 280 308 322 385 440 460 506 616 644 770 805 920 1012 1265 1288 1540 1610 1771 2024 2530 3080 3220 3542 5060 6440 7084 8855 10120 14168 17710 35420 70840 141941 283882 567764 709705 993587 1135528 1419410 1561351 1987174 2838820 3122702 3264643 3974348 4967935 5677640 6245404 6529286 7806755 7948696 9935870 10929457 12490808 13058572 15613510 16323215 19871740 21858914 22852501 26117144 31227020 32646430 35911073 39743480 43717828 45705002 54647285 62454040 65292860 71822146 87435656 91410004 109294570 114262505 130585720 143644292 179555365 182820008 218589140 228525010 251377511 287288584 359110730 437178280 457050020 502755022 718221460 914100040 1005510044 1256887555 1436442920 2011020088 2513775110 5027550220 10055100440