Search a number
-
+
332103054687553 is a prime number
BaseRepresentation
bin100101110000010111100010…
…0100110100111110101000001
31121112212202000220001202010001
41023200233010212213311001
5322012134024000000203
63134154012004040001
7126644440201105432
oct11340570446476501
91545782026052101
10332103054687553
119690012950a426
12312b7969093001
1311340250709296
145c01c33293489
15285db68ae791d
hex12e0bc49a7d41

332103054687553 has 2 divisors, whose sum is σ = 332103054687554. Its totient is φ = 332103054687552.

The previous prime is 332103054687529. The next prime is 332103054687577. The reversal of 332103054687553 is 355786450301233.

It is a balanced prime because it is at equal distance from previous prime (332103054687529) and next prime (332103054687577).

It can be written as a sum of positive squares in only one way, i.e., 246676142929329 + 85426911758224 = 15705927^2 + 9242668^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-332103054687553 is a prime.

It is a super-2 number, since 2×3321030546875532 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332103054687494 and 332103054687503.

It is not a weakly prime, because it can be changed into another prime (332103054687853) 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 as a sum of consecutive naturals, namely, 166051527343776 + 166051527343777.

It is an arithmetic number, because the mean of its divisors is an integer number (166051527343777).

Almost surely, 2332103054687553 is an apocalyptic number.

It is an amenable number.

332103054687553 is a deficient number, since it is larger than the sum of its proper divisors (1).

332103054687553 is an equidigital number, since it uses as much as digits as its factorization.

332103054687553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216000, while the sum is 55.

The spelling of 332103054687553 in words is "three hundred thirty-two trillion, one hundred three billion, fifty-four million, six hundred eighty-seven thousand, five hundred fifty-three".