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42030410020131 = 31343891797871999
BaseRepresentation
bin10011000111001111101111…
…01010001011010100100011
312111211001211112120221112110
421203213313222023110203
521002111234431121011
6225220300453330403
711565411512334441
oct1143476752132443
9174731745527473
1042030410020131
1112434aa67a90a5
124869937336a03
131a5b5b2133290
14a543d5a25b91
154cd492815ba6
hex2639f7a8b523

42030410020131 has 128 divisors (see below), whose sum is σ = 62908876800000. Its totient is φ = 24795977665536.

The previous prime is 42030410020117. The next prime is 42030410020141. The reversal of 42030410020131 is 13102001403024.

It is not a de Polignac number, because 42030410020131 - 210 = 42030410019107 is a prime.

It is a super-2 number, since 2×420304100201312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42030410020098 and 42030410020107.

It is not an unprimeable number, because it can be changed into a prime (42030410020141) 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, 21025716870 + ... + 21025718868.

It is an arithmetic number, because the mean of its divisors is an integer number (491475600000).

Almost surely, 242030410020131 is an apocalyptic number.

42030410020131 is a deficient number, since it is larger than the sum of its proper divisors (20878466779869).

42030410020131 is a wasteful number, since it uses less digits than its factorization.

42030410020131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 42030410020131 its reverse (13102001403024), we get a palindrome (55132411423155).

The spelling of 42030410020131 in words is "forty-two trillion, thirty billion, four hundred ten million, twenty thousand, one hundred thirty-one".

Divisors: 1 3 13 39 43 89 129 179 267 537 559 787 1157 1677 1999 2327 2361 3471 3827 5997 6981 7697 10231 11481 15931 23091 25987 30693 33841 47793 49751 70043 77961 85957 100061 101523 140873 149253 177911 207103 210129 257871 300183 357821 422619 439933 533733 621309 685033 910559 1073463 1117441 1319799 1573213 1831349 2055099 2312843 2731677 3011849 3352323 4651673 4719639 5494047 6057539 6938529 7650173 8905429 9035547 12537697 13955019 15386303 18172617 20451769 22950519 26716287 31846069 37613091 39154037 46158909 61355307 67648159 78748007 95538207 99452249 117462111 140015957 162990061 200021939 202944477 236244021 281605127 298356747 413998897 420047871 488970183 539120971 600065817 844815381 879426067 1241996691 1369380967 1617362913 1820207441 2638278201 3660866651 4108142901 5460622323 6020686151 7008572623 10982599953 12109020461 17801952571 18062058453 21025717869 25062856303 36327061383 53405857713 75188568909 78268919963 157417265993 234806759889 325817131939 472251797979 977451395817 1077702821029 3233108463087 14010136673377 42030410020131