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101364100220271 = 3729677339373617
BaseRepresentation
bin10111000011000010101011…
…001011111100010101101111
3111021220022110102112120002010
4113003002223023330111233
5101241222134124022041
6555330005204332303
730231212616535410
oct2703025313742557
9437808412476063
10101364100220271
112a330301021619
12b4510600a4093
1344737942abab5
141b06097611807
15babaa5db7a16
hex5c30ab2fc56f

101364100220271 has 128 divisors (see below), whose sum is σ = 162610133575680. Its totient is φ = 54941253599232.

The previous prime is 101364100220267. The next prime is 101364100220281. The reversal of 101364100220271 is 172022001463101.

It is not a de Polignac number, because 101364100220271 - 22 = 101364100220267 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101364100220281) 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, 28024355455 + ... + 28024359071.

It is an arithmetic number, because the mean of its divisors is an integer number (1270391668560).

Almost surely, 2101364100220271 is an apocalyptic number.

101364100220271 is a deficient number, since it is larger than the sum of its proper divisors (61246033355409).

101364100220271 is a wasteful number, since it uses less digits than its factorization.

101364100220271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5393.

The product of its (nonzero) digits is 4032, while the sum is 30.

Adding to 101364100220271 its reverse (172022001463101), we get a palindrome (273386101683372).

The spelling of 101364100220271 in words is "one hundred one trillion, three hundred sixty-four billion, one hundred million, two hundred twenty thousand, two hundred seventy-one".

Divisors: 1 3 7 21 29 67 87 201 203 469 609 733 937 1407 1943 2199 2811 3617 5131 5829 6559 10851 13601 15393 19677 21257 25319 27173 40803 49111 62779 63771 75957 81519 104893 147333 148799 188337 190211 242339 314679 343777 439453 446397 570633 686821 727017 734251 1031331 1318359 1424219 1696373 1820591 2060463 2202753 2651261 3389129 4272657 4807747 5089119 5461773 7027831 7953783 9969533 10167387 12744137 14423241 18558827 19917809 21083493 23723903 29908599 38232411 46017007 49194817 55676481 59753427 71171709 76886569 98284741 138051021 139424663 147584451 177634487 227071643 230659707 294854223 322119049 418273989 532903461 538205983 681214929 687993187 966357147 1243441409 1334493203 1589501501 1614617949 2063979561 2484231557 3730324227 4003479609 4768504503 5151400123 6585077647 7452694671 9341452421 15454200369 17389620899 19755232941 28024357263 36059800861 46095543529 52168862697 72042715153 108179402583 138286630587 166443514319 216128145459 499330542957 504299006071 1165104600233 1512897018213 3495313800699 4826861915251 14480585745753 33788033406757 101364100220271