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105225525430 = 25174182918211
BaseRepresentation
bin110000111111111101…
…1100001100010110110
3101001121100101112112121
41201333323201202312
53211000213303210
6120201232110154
710413405131344
oct1417773414266
9331540345477
10105225525430
114069807a763
121848799535a
139bcc2c1a1c
14514306a994
152b0cd8d6da
hex187fee18b6

105225525430 has 64 divisors (see below), whose sum is σ = 205697983680. Its totient is φ = 38599372800.

The previous prime is 105225525409. The next prime is 105225525439. The reversal of 105225525430 is 34525522501.

It is a super-2 number, since 2×1052255254302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105225525439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5769025 + ... + 5787235.

It is an arithmetic number, because the mean of its divisors is an integer number (3214030995).

Almost surely, 2105225525430 is an apocalyptic number.

105225525430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105225525430 is a deficient number, since it is larger than the sum of its proper divisors (100472458250).

105225525430 is a wasteful number, since it uses less digits than its factorization.

105225525430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19105.

The product of its (nonzero) digits is 60000, while the sum is 34.

The spelling of 105225525430 in words is "one hundred five billion, two hundred twenty-five million, five hundred twenty-five thousand, four hundred thirty".

Divisors: 1 2 5 10 17 34 41 82 85 170 205 410 697 829 1394 1658 3485 4145 6970 8290 14093 18211 28186 33989 36422 67978 70465 91055 140930 169945 182110 309587 339890 577813 619174 746651 1155626 1493302 1547935 2889065 3095870 3733255 5778130 7466510 12693067 15096919 25386134 30193838 63465335 75484595 126930670 150969190 256647623 513295246 618973679 1237947358 1283238115 2566476230 3094868395 6189736790 10522552543 21045105086 52612762715 105225525430