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348913111223213 = 17416124469335381
BaseRepresentation
bin100111101010101011010101…
…0000011010100101110101101
31200202101202201122010020021222
41033111112222003110232231
5331213043022433120323
63234024245343033125
7133331066106066215
oct11725265203245655
91622352648106258
10348913111223213
11a11a1246159689
1233171846b9b7a5
1311c8c499494574
1462236addb5245
152a5106dade9c8
hex13d55aa0d4bad

348913111223213 has 32 divisors (see below), whose sum is σ = 384669014294880. Its totient is φ = 315113389056000.

The previous prime is 348913111223197. The next prime is 348913111223239. The reversal of 348913111223213 is 312322111319843.

It can be written as a sum of positive squares in 16 ways, for example, as 340789801803049 + 8123309420164 = 18460493^2 + 2850142^2 .

It is not a de Polignac number, because 348913111223213 - 24 = 348913111223197 is a prime.

It is a super-2 number, since 2×3489131112232132 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348913111223293) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1040180783 + ... + 1040516163.

It is an arithmetic number, because the mean of its divisors is an integer number (12020906696715).

Almost surely, 2348913111223213 is an apocalyptic number.

It is an amenable number.

348913111223213 is a deficient number, since it is larger than the sum of its proper divisors (35755903071667).

348913111223213 is a wasteful number, since it uses less digits than its factorization.

348913111223213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359969.

The product of its digits is 186624, while the sum is 44.

The spelling of 348913111223213 in words is "three hundred forty-eight trillion, nine hundred thirteen billion, one hundred eleven million, two hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 17 41 61 697 1037 2501 24469 42517 335381 415973 1003229 1492609 5701477 13750621 17054893 20458241 25374353 61196969 233760557 347790097 838787881 1040348473 8206437689 14259393977 139509440713 336463945249 500592699029 5719887069233 8510075883493 20524300660189 348913111223213