Search a number
-
+
10034041332200 = 2352180136077723
BaseRepresentation
bin1001001000000011101101…
…1110000010000111101000
31022112020121121000002202212
42102000323132002013220
52303344204040112300
633201324104544252
72053635620033624
oct222007336020750
938466547002685
1010034041332200
11321945a821816
1211607b8182088
1357a28a884042
142699161aa184
1512601d758935
hex9203b7821e8

10034041332200 has 96 divisors (see below), whose sum is σ = 23351594122560. Its totient is φ = 4009756608000.

The previous prime is 10034041332193. The next prime is 10034041332223. The reversal of 10034041332200 is 223314043001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1299237539 + ... + 1299245261.

It is an arithmetic number, because the mean of its divisors is an integer number (243245772110).

Almost surely, 210034041332200 is an apocalyptic number.

10034041332200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10034041332200 is an abundant number, since it is smaller than the sum of its proper divisors (13317552790360).

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

10034041332200 is a wasteful number, since it uses less digits than its factorization.

10034041332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13147 (or 13138 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 10034041332200 its reverse (223314043001), we get a palindrome (10257355375201).

The spelling of 10034041332200 in words is "ten trillion, thirty-four billion, forty-one million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1801 3602 3607 7204 7214 7723 9005 14408 14428 15446 18010 18035 28856 30892 36020 36070 38615 45025 61784 72040 72140 77230 90050 90175 144280 154460 180100 180350 193075 308920 360200 360700 386150 721400 772300 1544600 6496207 12992414 13909123 25984828 27818246 27856861 32481035 51969656 55636492 55713722 64962070 69545615 111272984 111427444 129924140 139091230 139284305 162405175 222854888 259848280 278182460 278568610 324810350 347728075 556364920 557137220 649620700 695456150 696421525 1114274440 1299241400 1390912300 1392843050 2781824600 2785686100 5571372200 50170206661 100340413322 200680826644 250851033305 401361653288 501702066610 1003404133220 1254255166525 2006808266440 2508510333050 5017020666100 10034041332200