Search a number
-
+
1302000002031 = 35216831219639
BaseRepresentation
bin10010111100100101001…
…111110110001111101111
311121110200121201002020110
4102330211033312033233
5132312444000031111
62434044110351103
7163031526262161
oct22744517661757
94543617632213
101302000002031
114621a2070333
121904051bb493
1395a165726b1
1447035044931
1523d047d85a6
hex12f253f63ef

1302000002031 has 16 divisors (see below), whose sum is σ = 1741880090880. Its totient is φ = 865064840640.

The previous prime is 1302000001999. The next prime is 1302000002047.

It is a happy number.

1302000002031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1302000002031 - 25 = 1302000001999 is a prime.

It is a super-3 number, since 3×13020000020313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1302000001998 and 1302000002016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1302000004031) 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, 457710 + ... + 1677348.

It is an arithmetic number, because the mean of its divisors is an integer number (108867505680).

Almost surely, 21302000002031 is an apocalyptic number.

1302000002031 is a deficient number, since it is larger than the sum of its proper divisors (439880088849).

1302000002031 is a wasteful number, since it uses less digits than its factorization.

1302000002031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220846.

The product of its (nonzero) digits is 36, while the sum is 12.

It can be divided in two parts, 130200000 and 2031, that added together give a palindrome (130202031).

The spelling of 1302000002031 in words is "one trillion, three hundred two billion, two thousand, thirty-one".

Divisors: 1 3 521 683 1563 2049 355843 1067529 1219639 3658917 635431919 833013437 1906295757 2499040311 434000000677 1302000002031