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10430123002131 = 375991845144939
BaseRepresentation
bin1001011111000111001111…
…0001101100100100010011
31100221002222012112200101210
42113301303301230210103
52331341342442032011
634103310553431203
72124360112501050
oct227616361544423
940832865480353
1010430123002131
1133614325817a8
12120551710b503
135a8730497181
14280b6bbd8027
151314a11606a6
hex97c73c6c913

10430123002131 has 32 divisors (see below), whose sum is σ = 15921271296000. Its totient is φ = 5949665373600.

The previous prime is 10430123002127. The next prime is 10430123002157. The reversal of 10430123002131 is 13120032103401.

It is not a de Polignac number, because 10430123002131 - 22 = 10430123002127 is a prime.

It is a super-2 number, since 2×104301230021312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10430123002098 and 10430123002107.

It is not an unprimeable number, because it can be changed into a prime (10430123002031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232072660 + ... + 232117598.

It is an arithmetic number, because the mean of its divisors is an integer number (497539728000).

Almost surely, 210430123002131 is an apocalyptic number.

10430123002131 is a deficient number, since it is larger than the sum of its proper divisors (5491148293869).

10430123002131 is a wasteful number, since it uses less digits than its factorization.

10430123002131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63999.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10430123002131 its reverse (13120032103401), we get a palindrome (23550155105532).

The spelling of 10430123002131 in words is "ten trillion, four hundred thirty billion, one hundred twenty-three million, two thousand, one hundred thirty-one".

Divisors: 1 3 7 21 599 1797 4193 12579 18451 44939 55353 129157 134817 314573 387471 943719 11052149 26918461 33156447 77365043 80755383 188429227 232095129 565287681 829169489 2487508467 5804186423 17412559269 496672523911 1490017571733 3476707667377 10430123002131