Search a number
-
+
140202110100 = 2235213137326183
BaseRepresentation
bin1000001010010010110…
…0100110110010010100
3111101212221000010200110
42002210230212302110
54244113220010400
6144224041443020
713062224162403
oct2024454466224
9441787003613
10140202110100
1154506488488
12232094a0470
13102b4707880
146b003dd63a
1539a8845e50
hex20a4b26c94

140202110100 has 144 divisors (see below), whose sum is σ = 437190268032. Its totient is φ = 34484835840.

The previous prime is 140202110063. The next prime is 140202110143. The reversal of 140202110100 is 1011202041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5341609 + ... + 5367791.

It is an arithmetic number, because the mean of its divisors is an integer number (3036043528).

Almost surely, 2140202110100 is an apocalyptic number.

140202110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140202110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218595134016).

140202110100 is an abundant number, since it is smaller than the sum of its proper divisors (296988157932).

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

140202110100 is a wasteful number, since it uses less digits than its factorization.

140202110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27586 (or 27579 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 140202110100 its reverse (1011202041), we get a palindrome (141213312141).

The spelling of 140202110100 in words is "one hundred forty billion, two hundred two million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1373 1950 2746 3900 4119 5492 6865 8238 13730 16476 17849 20595 26183 27460 34325 35698 41190 52366 53547 68650 71396 78549 82380 89245 102975 104732 107094 130915 137300 157098 178490 205950 214188 261830 267735 314196 340379 356980 392745 411900 446225 523660 535470 654575 680758 785490 892450 1021137 1070940 1309150 1338675 1361516 1570980 1701895 1784900 1963725 2042274 2618300 2677350 3403790 3927450 4084548 5105685 5354700 6807580 7854900 8509475 10211370 17018950 20422740 25528425 34037900 35949259 51056850 71898518 102113700 107847777 143797036 179746295 215695554 359492590 431391108 467340367 539238885 718985180 898731475 934680734 1078477770 1402021101 1797462950 1869361468 2156955540 2336701835 2696194425 2804042202 3594925900 4673403670 5392388850 5608084404 7010105505 9346807340 10784777700 11683509175 14020211010 23367018350 28040422020 35050527525 46734036700 70101055050 140202110100