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142010521433001 = 331323831223173293
BaseRepresentation
bin100000010010100001100110…
…101011110011001110101001
3200121211001222102000120022000
4200102201212223303032221
5122103200021441324001
61222010422150521213
741624631051350664
oct4022414653631651
9617731872016260
10142010521433001
1141281362162401
1213b16710366209
1361316c49aca70
14270d4bb2746db
151164046025a86
hex812866af33a9

142010521433001 has 128 divisors (see below), whose sum is σ = 239465800949760. Its totient is φ = 82516349051136.

The previous prime is 142010521432933. The next prime is 142010521433003. The reversal of 142010521433001 is 100334125010241.

142010521433001 is a `hidden beast` number, since 1 + 4 + 201 + 0 + 5 + 21 + 433 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 142010521433001 - 222 = 142010517238697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (142010521433003) 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, 819395511 + ... + 819568803.

It is an arithmetic number, because the mean of its divisors is an integer number (1870826569920).

Almost surely, 2142010521433001 is an apocalyptic number.

It is an amenable number.

142010521433001 is a deficient number, since it is larger than the sum of its proper divisors (97455279516759).

142010521433001 is a wasteful number, since it uses less digits than its factorization.

142010521433001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174644 (or 174638 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 142010521433001 its reverse (100334125010241), we get a palindrome (242344646443242).

The spelling of 142010521433001 in words is "one hundred forty-two trillion, ten billion, five hundred twenty-one million, four hundred thirty-three thousand, one".

Divisors: 1 3 9 13 23 27 39 69 83 117 207 249 299 351 621 747 897 1079 1223 1909 2241 2691 3237 3669 5727 8073 9711 11007 15899 17181 24817 28129 29133 33021 47697 51543 74451 84387 101509 143091 173293 223353 253161 304527 365677 429273 519879 670059 759483 913581 1097031 1319617 1559637 2252809 2334707 2740743 3291093 3958851 3985739 4678911 6758427 7004121 9873279 11876553 11957217 14383319 20275281 21012363 30351191 35629659 35871651 43149957 51814607 60825843 63037089 91053573 107614953 129449871 155443821 186983147 211937339 273160719 330816337 388349613 466331463 560949441 635812017 819482157 992449011 1398994389 1682848323 1907436051 2755185407 2977347033 4300612381 4874558797 5048544969 5722308153 8265556221 8932041099 12901837143 14623676391 17590799137 24796668663 38705511429 43871029173 52772397411 63369264361 74390005989 116116534287 131613087519 158317192233 190107793083 228680388781 404588380151 474951576699 570323379249 686041166343 1213765140453 1710970137747 2058123499029 3641295421359 5259648941963 6174370497087 10923886264077 15778946825889 47336840477667 142010521433001