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105354218940 = 22357487234527
BaseRepresentation
bin110001000011110011…
…0011100110110111100
3101001221022112211211220
41202013212130312330
53211231140001230
6120222110313340
710416530041155
oct1420746346674
9331838484756
10105354218940
114075378a033
1218502ab8850
139c1cb70929
1451561aa92c
152b1930ed10
hex188799cdbc

105354218940 has 48 divisors (see below), whose sum is σ = 295032471552. Its totient is φ = 28090586176.

The previous prime is 105354218939. The next prime is 105354218953. The reversal of 105354218940 is 49812453501.

It is a super-2 number, since 2×1053542189402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105354218892 and 105354218901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331957 + ... + 566483.

It is an arithmetic number, because the mean of its divisors is an integer number (6146509824).

Almost surely, 2105354218940 is an apocalyptic number.

105354218940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105354218940 is an abundant number, since it is smaller than the sum of its proper divisors (189678252612).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105354218940 is a wasteful number, since it uses less digits than its factorization.

105354218940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242026 (or 242024 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 105354218940 in words is "one hundred five billion, three hundred fifty-four million, two hundred eighteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 7487 14974 22461 29948 37435 44922 74870 89844 112305 149740 224610 234527 449220 469054 703581 938108 1172635 1407162 2345270 2814324 3517905 4690540 7035810 14071620 1755903649 3511807298 5267710947 7023614596 8779518245 10535421894 17559036490 21070843788 26338554735 35118072980 52677109470 105354218940