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103554006101642 = 217371991753235967
BaseRepresentation
bin10111100010111010001011…
…101111111010111010001010
3111120122122222201210201221002
4113202322023233322322022
5102033112101030223032
61004124015331415002
730545346543440255
oct2742721357727212
9446578881721832
10103554006101642
112aaa50098848a8
12b745563154462
1345a2140810375
141b8007d72009c
15be8a26069862
hex5e2e8bbfae8a

103554006101642 has 64 divisors (see below), whose sum is σ = 169859582668800. Its totient is φ = 47148861044736.

The previous prime is 103554006101617. The next prime is 103554006101657. The reversal of 103554006101642 is 246101600455301.

It is a super-3 number, since 3×1035540061016423 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103554006101596 and 103554006101605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 438731543 + ... + 438967509.

It is an arithmetic number, because the mean of its divisors is an integer number (2654055979200).

Almost surely, 2103554006101642 is an apocalyptic number.

103554006101642 is a deficient number, since it is larger than the sum of its proper divisors (66305576567158).

103554006101642 is a wasteful number, since it uses less digits than its factorization.

103554006101642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237975.

The product of its (nonzero) digits is 86400, while the sum is 38.

Adding to 103554006101642 its reverse (246101600455301), we get a palindrome (349655606556943).

The spelling of 103554006101642 in words is "one hundred three trillion, five hundred fifty-four billion, six million, one hundred one thousand, six hundred forty-two".

Divisors: 1 2 17 34 37 74 199 398 629 1258 1753 3383 3506 6766 7363 14726 29801 59602 64861 125171 129722 235967 250342 348847 471934 697694 1102637 2205274 4011439 5930399 8022878 8730779 11860798 12907339 17461558 25814678 46957433 93914866 148423243 219424763 296846486 413650151 438849526 798276361 827300302 1596552722 1737425021 3474850042 7032052567 14064105134 15305055587 29536225357 30610111174 59072450714 82316380049 164632760098 260185944979 520371889958 1399378460833 2798756921666 3045706061813 6091412123626 51777003050821 103554006101642