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213404430004348 = 2211193110937533821
BaseRepresentation
bin110000100001011100010111…
…001111100111000001111100
31000222121021010122112111100211
4300201130113033213001330
5210432404233040114343
62033512350340402204
762643650500362622
oct6041342717470174
91028537118474324
10213404430004348
1161aa7346328260
121bb2725b9a6364
13920cc4a2c257b
143a9ab882d7512
1519a1213ed379d
hexc217173e707c

213404430004348 has 96 divisors (see below), whose sum is σ = 443089988167680. Its totient is φ = 88850859552000.

The previous prime is 213404430004313. The next prime is 213404430004349. The reversal of 213404430004348 is 843400034404312.

It is a happy number.

213404430004348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 213404430004348.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213404430004349) 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, 24559278 + ... + 32093098.

It is an arithmetic number, because the mean of its divisors is an integer number (4615520710080).

Almost surely, 2213404430004348 is an apocalyptic number.

It is an amenable number.

213404430004348 is an abundant number, since it is smaller than the sum of its proper divisors (229685558163332).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213404430004348 is a wasteful number, since it uses less digits than its factorization.

213404430004348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7534979 (or 7534977 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 40.

The spelling of 213404430004348 in words is "two hundred thirteen trillion, four hundred four billion, four hundred thirty million, four thousand, three hundred forty-eight".

Divisors: 1 2 4 11 19 22 31 38 44 62 76 124 209 341 418 589 682 836 1093 1178 1364 2186 2356 4372 6479 12023 12958 20767 24046 25916 33883 41534 48092 67766 83068 135532 228437 372713 456874 643777 745426 913748 1287554 1490852 2575108 7081547 7533821 14163094 15067642 28326188 30135284 82872031 143142599 165744062 233548451 286285198 331488124 467096902 572570396 934193804 1574568589 2569032961 3149137178 4437420569 5138065922 6298274356 8234466353 8874841138 10276131844 16468932706 17749682276 32937865412 48811626259 90579129883 97623252518 156454860707 181158259766 195246505036 255268456943 312909721414 362316519532 510536913886 625819442828 1021073827772 1721003467777 2807953026373 3442006935554 4850100681917 5615906052746 6884013871108 9700201363834 11231812105492 19400402727668 53351107501087 106702215002174 213404430004348