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105252423420 = 22355929732323
BaseRepresentation
bin110001000000110001…
…0001000011011111100
3101001200020000002122110
41202001202020123330
53211024110022140
6120204032414020
710414152560214
oct1420142103374
9331606002573
10105252423420
1140701281601
12184949a7310
139c04a4bab1
14514686d244
152b10403380
hex18818886fc

105252423420 has 48 divisors (see below), whose sum is σ = 299701825920. Its totient is φ = 27591594816.

The previous prime is 105252423401. The next prime is 105252423449. The reversal of 105252423420 is 24324252501.

It is a super-2 number, since 2×1052524234202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 14862622 + ... + 14869701.

It is an arithmetic number, because the mean of its divisors is an integer number (6243788040).

Almost surely, 2105252423420 is an apocalyptic number.

105252423420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105252423420 is an abundant number, since it is smaller than the sum of its proper divisors (194449402500).

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

105252423420 is a wasteful number, since it uses less digits than its factorization.

105252423420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29732394 (or 29732392 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 105252423420 its reverse (24324252501), we get a palindrome (129576675921).

The spelling of 105252423420 in words is "one hundred five billion, two hundred fifty-two million, four hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 29732323 59464646 89196969 118929292 148661615 178393938 297323230 356787876 445984845 594646460 891969690 1754207057 1783939380 3508414114 5262621171 7016828228 8771035285 10525242342 17542070570 21050484684 26313105855 35084141140 52626211710 105252423420