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101102200199 = 71113217538623
BaseRepresentation
bin101111000101000101…
…0010010010110000111
3100122221222121220200022
41132022022102112013
53124024130401244
6114240135005355
710206256344110
oct1361212222607
9318858556608
10101102200199
1139971613460
1217716b0985b
1396c2c80a00
144c715b3207
15296ada76ee
hex178a292587

101102200199 has 96 divisors (see below), whose sum is σ = 147264251904. Its totient is φ = 67143997440.

The previous prime is 101102200163. The next prime is 101102200223. The reversal of 101102200199 is 991002201101.

It is not a de Polignac number, because 101102200199 - 220 = 101101151623 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102202199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11720402 + ... + 11729024.

It is an arithmetic number, because the mean of its divisors is an integer number (1534002624).

Almost surely, 2101102200199 is an apocalyptic number.

101102200199 is a deficient number, since it is larger than the sum of its proper divisors (46162051705).

101102200199 is a wasteful number, since it uses less digits than its factorization.

101102200199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8737 (or 8724 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 26.

The spelling of 101102200199 in words is "one hundred one billion, one hundred two million, two hundred thousand, one hundred ninety-nine".

Divisors: 1 7 11 13 17 53 77 91 119 143 169 187 221 371 583 689 901 1001 1183 1309 1547 1859 2431 2873 4081 4823 6307 7579 8623 8957 9911 11713 13013 17017 20111 31603 53053 60361 62699 69377 81991 94853 98527 112099 128843 146591 152269 221221 457019 663971 689689 784693 901901 1026137 1065883 1233089 1457287 1612501 1674959 1905683 3199133 5027209 5941247 7769323 8631623 10201009 11287507 11724713 13339781 16030157 20962513 24773879 35190463 41588729 54385261 65353717 77236211 85462553 101001199 112211099 146737591 173417153 272512669 457476019 540653477 598237871 707008393 849598321 1111013189 1313015587 1907588683 5947188247 7777092323 9191109109 14443171457 101102200199