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213430130133441 = 313237943154112917
BaseRepresentation
bin110000100001110100010011…
…000101110100100111000001
31000222200201110201212022201220
4300201310103011310213001
5210433314401303232231
62033532240451345253
762645550406023654
oct6041642305644701
91028621421768656
10213430130133441
1162007234391671
121bb302328b2229
1392124b48b1b50
143a9c10564d89b
1519a1c1a3a1896
hexc21d131749c1

213430130133441 has 128 divisors (see below), whose sum is σ = 325212754083840. Its totient is φ = 123514736716800.

The previous prime is 213430130133433. The next prime is 213430130133499. The reversal of 213430130133441 is 144331031034312.

It is not a de Polignac number, because 213430130133441 - 23 = 213430130133433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213430130133541) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16523190115 + ... + 16523203031.

It is an arithmetic number, because the mean of its divisors is an integer number (2540724641280).

Almost surely, 2213430130133441 is an apocalyptic number.

It is an amenable number.

213430130133441 is a deficient number, since it is larger than the sum of its proper divisors (111782623950399).

213430130133441 is a wasteful number, since it uses less digits than its factorization.

213430130133441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14007.

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 213430130133441 its reverse (144331031034312), we get a palindrome (357761161167753).

The spelling of 213430130133441 in words is "two hundred thirteen trillion, four hundred thirty billion, one hundred thirty million, one hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 3 13 23 39 69 79 237 299 431 541 897 1027 1293 1623 1817 3081 5451 5603 7033 9913 12443 12917 16809 21099 23621 29739 34049 37329 38751 42739 70863 102147 128217 128869 161759 167921 233171 297091 386607 442637 485277 503763 555607 699513 783127 891273 982997 1020443 1327911 1666821 2349381 2948991 3031223 3061329 3862183 5362933 5567227 6988097 9093669 10180651 11586549 12778961 13265759 16088799 16701681 18420509 20964291 23470189 30541953 38336883 39797277 55261527 69718129 70410567 72373951 90845261 128046221 160726231 209154387 217121853 239466617 272535783 305112457 384138663 423671707 439810933 482178693 552059663 718399851 915337371 1271015121 1319432799 1656178989 1664600873 2089441003 3011869807 4993802619 5507732191 5717542129 6268323009 7176775619 9035609421 10115651459 12697372249 16523196573 17152626387 21530326857 30346954377 38092116747 39154307491 69273005561 117462922473 131503468967 165065839237 207819016683 237937714753 394510406901 495197517711 713813144259 900549072293 2701647216879 3093190291789 5472567439319 9279570875367 16417702317957 71143376711147 213430130133441