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10141134234110 = 2511378349161141
BaseRepresentation
bin1001001110010010101010…
…1101000010000111111110
31022220111001002012012021022
42103210222231002013332
52312123020330442420
633322434525304142
72064446521501505
oct223445255020776
938814032165238
1010141134234110
11325a915995020
121179505405052
135873c69c6459
14270b9524b83c
15128bda50dc25
hex9392ab421fe

10141134234110 has 128 divisors (see below), whose sum is σ = 20740602935808. Its totient is φ = 3537511488000.

The previous prime is 10141134234109. The next prime is 10141134234137. The reversal of 10141134234110 is 1143243114101.

10141134234110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10141134234110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165834140 + ... + 165895280.

It is an arithmetic number, because the mean of its divisors is an integer number (162035960436).

Almost surely, 210141134234110 is an apocalyptic number.

10141134234110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10141134234110 is an abundant number, since it is smaller than the sum of its proper divisors (10599468701698).

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

10141134234110 is a wasteful number, since it uses less digits than its factorization.

10141134234110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61770.

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 10141134234110 its reverse (1143243114101), we get a palindrome (11284377348211).

The spelling of 10141134234110 in words is "ten trillion, one hundred forty-one billion, one hundred thirty-four million, two hundred thirty-four thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 37 55 74 83 110 166 185 370 407 415 491 814 830 913 982 1826 2035 2455 3071 4070 4565 4910 5401 6142 9130 10802 15355 18167 27005 30710 33781 36334 40753 54010 61141 67562 81506 90835 122282 168905 181670 199837 203765 305705 337810 399674 407530 448283 611410 672551 896566 999185 1345102 1507861 1998370 2241415 2262217 3015722 3362755 4482830 4524434 5074703 6725510 7539305 10149406 11311085 15078610 16586471 22622170 24884387 25373515 30020231 33172942 49768774 50747030 55821733 60040462 82932355 111643466 124421935 150101155 165864710 187764011 248843870 279108665 300202310 330222541 375528022 558217330 660445082 938820055 1110748547 1651112705 1877640110 2065404121 2221497094 2491679173 3302225410 4130808242 4983358346 5553742735 10327020605 11107485470 12218234017 12458395865 20654041210 24436468034 24916791730 27408470903 54816941806 61091170085 92192129401 122182340170 137042354515 184384258802 274084709030 460960647005 921921294010 1014113423411 2028226846822 5070567117055 10141134234110