Search a number
-
+
10430123124042 = 23310715491165361
BaseRepresentation
bin1001011111000111001111…
…0010001010010101001010
31100221002222012202212122000
42113301303302022111022
52331341343004432132
634103311000211430
72124360113516346
oct227616362122512
940832865685560
1010430123124042
113361432655356
121205517169b76
135a873050a7cb
14280b6bc2a626
151314a118687c
hex97c73c8a54a

10430123124042 has 64 divisors (see below), whose sum is σ = 23409791856000. Its totient is φ = 3441988650240.

The previous prime is 10430123124011. The next prime is 10430123124061. The reversal of 10430123124042 is 24042132103401.

10430123124042 is a `hidden beast` number, since 1 + 0 + 4 + 301 + 2 + 312 + 4 + 0 + 42 = 666.

10430123124042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10430123123997 and 10430123124015.

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, 8367442 + ... + 9532802.

It is an arithmetic number, because the mean of its divisors is an integer number (365777997750).

Almost surely, 210430123124042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10430123124042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11704895928000).

10430123124042 is an abundant number, since it is smaller than the sum of its proper divisors (12979668731958).

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

10430123124042 is a wasteful number, since it uses less digits than its factorization.

10430123124042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167028 (or 1167022 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10430123124042 its reverse (24042132103401), we get a palindrome (34472255227443).

The spelling of 10430123124042 in words is "ten trillion, four hundred thirty billion, one hundred twenty-three million, one hundred twenty-four thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 642 963 1549 1926 2889 3098 4647 5778 9294 13941 27882 41823 83646 165743 331486 497229 994458 1165361 1491687 2330722 2983374 3496083 4475061 6992166 8950122 10488249 20976498 31464747 62929494 124693627 249387254 374080881 748161762 1122242643 1805144189 2244485286 3366727929 3610288378 5415432567 6733455858 10830865134 16246297701 32492595402 48738893103 97477786206 193150428223 386300856446 579451284669 1158902569338 1738353854007 3476707708014 5215061562021 10430123124042