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10141104404130 = 235729677134137
BaseRepresentation
bin1001001110010010100011…
…1011001111011010100010
31022220110222000001200020020
42103210220323033122202
52312122440211413010
633322431542054310
72064446010111600
oct223445073173242
938813860050206
1010141104404130
11325a900070347
1211794b741a396
135873c078098b
14270b912c4870
15128bd7aba470
hex93928ecf6a2

10141104404130 has 96 divisors (see below), whose sum is σ = 28341590276736. Its totient is φ = 2315569326336.

The previous prime is 10141104404113. The next prime is 10141104404131. The reversal of 10141104404130 is 3140440114101.

10141104404130 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 2×101411044041302 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10141104404130.

It is not an unprimeable number, because it can be changed into a prime (10141104404131) 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, 2145579 + ... + 4988558.

It is an arithmetic number, because the mean of its divisors is an integer number (295224898716).

Almost surely, 210141104404130 is an apocalyptic number.

10141104404130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10141104404130 is an abundant number, since it is smaller than the sum of its proper divisors (18200485872606).

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

10141104404130 is a wasteful number, since it uses less digits than its factorization.

10141104404130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7135128 (or 7135121 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10141104404130 its reverse (3140440114101), we get a palindrome (13281544518231).

The spelling of 10141104404130 in words is "ten trillion, one hundred forty-one billion, one hundred four million, four hundred four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 967 1470 1934 2901 4835 5802 6769 9670 13538 14505 20307 29010 33845 40614 47383 67690 94766 101535 142149 203070 236915 284298 473830 710745 1421490 7134137 14268274 21402411 35670685 42804822 49938959 71341370 99877918 107012055 149816877 214024110 249694795 299633754 349572713 499389590 699145426 749084385 1048718139 1498168770 1747863565 2097436278 3495727130 5243590695 6898710479 10487181390 13797420958 20696131437 34493552395 41392262874 48290973353 68987104790 96581946706 103480657185 144872920059 206961314370 241454866765 289745840118 338036813471 482909733530 676073626942 724364600295 1014110440413 1448729200590 1690184067355 2028220880826 3380368134710 5070552202065 10141104404130