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88229443732101 = 3373316592140121
BaseRepresentation
bin10100000011111010000100…
…101001110000001010000101
3102120101122121122002200021000
4110003322010221300022011
543031022400043411401
6511352014044043513
724404236602514260
oct2403720451601205
9376348548080230
1088229443732101
1126126995939271
129a8b55a233599
133a30001b14219
1417b048391bcd7
15a300b4bbc186
hex503e84a70285

88229443732101 has 64 divisors (see below), whose sum is σ = 150061930444800. Its totient is φ = 50188210934400.

The previous prime is 88229443732063. The next prime is 88229443732139. The reversal of 88229443732101 is 10123734492288.

88229443732101 is a `hidden beast` number, since 8 + 8 + 2 + 29 + 443 + 73 + 2 + 101 = 666.

It is an interprime number because it is at equal distance from previous prime (88229443732063) and next prime (88229443732139).

It is not a de Polignac number, because 88229443732101 - 215 = 88229443699333 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88229443732151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40156321 + ... + 42296441.

It is an arithmetic number, because the mean of its divisors is an integer number (2344717663200).

Almost surely, 288229443732101 is an apocalyptic number.

It is an amenable number.

88229443732101 is a deficient number, since it is larger than the sum of its proper divisors (61832486712699).

88229443732101 is a wasteful number, since it uses less digits than its factorization.

88229443732101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141127 (or 2141121 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 88229443732101 in words is "eighty-eight trillion, two hundred twenty-nine billion, four hundred forty-three million, seven hundred thirty-two thousand, one hundred one".

Divisors: 1 3 7 9 21 27 63 189 331 659 993 1977 2317 2979 4613 5931 6951 8937 13839 17793 20853 41517 62559 124551 218129 654387 1526903 1963161 2140121 4580709 5889483 6420363 13742127 14980847 19261089 41226381 44942541 57783267 134827623 404482869 708380051 1410339739 2125140153 4231019217 4958660357 6375420459 9872378173 12693057651 14875981071 19126261377 29617134519 38079172953 44627943213 88851403557 133883829639 266554210671 466822453609 1400467360827 3267757175263 4201402082481 9803271525789 12604206247443 29409814577367 88229443732101