Search a number
-
+
10141134242124 = 22397101235136691
BaseRepresentation
bin1001001110010010101010…
…1101000100000101001100
31022220111001002012121021010
42103210222231010011030
52312123020331221444
633322434525405220
72064446521534044
oct223445255040514
938814032177233
1010141134242124
11325a9159a0046
121179505409810
135873c69c9cb2
14270b95250724
15128bda5112b9
hex9392ab4414c

10141134242124 has 96 divisors (see below), whose sum is σ = 24154217966592. Its totient is φ = 3310905600000.

The previous prime is 10141134242089. The next prime is 10141134242149. The reversal of 10141134242124 is 42124243114101.

It is a junction number, because it is equal to n+sod(n) for n = 10141134242091 and 10141134242100.

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, 276374619 + ... + 276411309.

It is an arithmetic number, because the mean of its divisors is an integer number (251606437152).

Almost surely, 210141134242124 is an apocalyptic number.

It is an amenable number.

10141134242124 is an abundant number, since it is smaller than the sum of its proper divisors (14013083724468).

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

10141134242124 is a wasteful number, since it uses less digits than its factorization.

10141134242124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39247 (or 39245 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 10141134242124 its reverse (42124243114101), we get a palindrome (52265377356225).

The spelling of 10141134242124 in words is "ten trillion, one hundred forty-one billion, one hundred thirty-four million, two hundred forty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 97 101 194 202 291 303 388 404 582 606 1164 1212 2351 4702 7053 9404 9797 14106 19594 28212 29391 36691 39188 58782 73382 110073 117564 146764 220146 228047 237451 440292 456094 474902 684141 712353 912188 949804 1368282 1424706 2736564 2849412 3559027 3705791 7118054 7411582 10677081 11117373 14236108 14823164 21354162 22234746 23032747 42708324 44469492 46065494 69098241 86260541 92130988 138196482 172521082 258781623 276392964 345042164 359461727 517563246 718923454 1035126492 1078385181 1437846908 2156770362 4313540724 8367272477 8712314641 16734544954 17424629282 25101817431 26136943923 33469089908 34849258564 50203634862 52273887846 100407269724 104547775692 845094520177 1690189040354 2535283560531 3380378080708 5070567121062 10141134242124