Search a number
-
+
10434508295101 = 114331769590761
BaseRepresentation
bin1001011111010111100100…
…1010010000101110111101
31100221112021211020122102221
42113311321022100232331
52331424333110420401
634105314045445341
72124603562043542
oct227657112205675
940845254218387
1010434508295101
1133632829a6270
12120633b870851
135a8c7bb7ac97
142810663a4bc9
1513165b1417a1
hex97d79290bbd

10434508295101 has 16 divisors (see below), whose sum is σ = 11684567302848. Its totient is φ = 9236085667200.

The previous prime is 10434508294943. The next prime is 10434508295117. The reversal of 10434508295101 is 10159280543401.

It is a cyclic number.

It is not a de Polignac number, because 10434508295101 - 215 = 10434508262333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434508295131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34645440 + ... + 34945321.

It is an arithmetic number, because the mean of its divisors is an integer number (730285456428).

Almost surely, 210434508295101 is an apocalyptic number.

10434508295101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10434508295101 is a deficient number, since it is larger than the sum of its proper divisors (1250059007747).

10434508295101 is a wasteful number, since it uses less digits than its factorization.

10434508295101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69591132.

The product of its (nonzero) digits is 172800, while the sum is 43.

The spelling of 10434508295101 in words is "ten trillion, four hundred thirty-four billion, five hundred eight million, two hundred ninety-five thousand, one hundred one".

Divisors: 1 11 43 317 473 3487 13631 149941 69590761 765498371 2992402723 22060271237 32916429953 242662983607 948591663191 10434508295101