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82510222828102 = 24153672819100519
BaseRepresentation
bin10010110000101011101000…
…100001011010001001000110
3101211010220022021222001122121
4102300223220201122021012
541303321414020444402
6451252401215320154
723244111145112446
oct2260535041321106
9354126267861577
1082510222828102
1124321430827493
12930704a82005a
1337068b044c564
141653732232126
15981430c70837
hex4b0ae885a246

82510222828102 has 64 divisors (see below), whose sum is σ = 131151966220800. Its totient is φ = 38885894910720.

The previous prime is 82510222828063. The next prime is 82510222828123. The reversal of 82510222828102 is 20182822201528.

It is a super-2 number, since 2×825102228281022 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 820791799 + ... + 820892317.

It is an arithmetic number, because the mean of its divisors is an integer number (2049249472200).

Almost surely, 282510222828102 is an apocalyptic number.

82510222828102 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

82510222828102 is a deficient number, since it is larger than the sum of its proper divisors (48641743392698).

82510222828102 is a wasteful number, since it uses less digits than its factorization.

82510222828102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103501.

The product of its (nonzero) digits is 163840, while the sum is 43.

The spelling of 82510222828102 in words is "eighty-two trillion, five hundred ten billion, two hundred twenty-two million, eight hundred twenty-eight thousand, one hundred two".

Divisors: 1 2 41 53 67 82 106 134 2173 2747 2819 3551 4346 5494 5638 7102 100519 115579 145591 149407 188873 201038 231158 291182 298814 377746 4121279 5327507 6125687 6734773 7743793 8242558 10010269 10655014 12251374 13469546 15487586 20020538 218427787 276125693 283363061 356942969 410421029 436855574 552251386 566726122 713885938 820842058 11617885501 14634661729 15018242233 18985325087 23235771002 29269323458 30036484466 37970650174 615747931553 778398328567 1006222229611 1231495863106 1556796657134 2012444459222 41255111414051 82510222828102