Search a number
-
+
1202132213200 = 245217971822517
BaseRepresentation
bin10001011111100100101…
…010011101110111010000
311020220220122211202121201
4101133210222131313100
5124143431321310300
62320130225200544
7152564646134032
oct21374452356720
94226818752551
101202132213200
11423904327466
12174b93790154
138948c274019
144227d79bc52
152140beb766a
hex117e4a9ddd0

1202132213200 has 120 divisors (see below), whose sum is σ = 3089539803672. Its totient is φ = 447901532160.

The previous prime is 1202132213189. The next prime is 1202132213237. The reversal of 1202132213200 is 23122312021.

It can be written as a sum of positive squares in 12 ways, for example, as 435330761616 + 766801451584 = 659796^2 + 875672^2 .

It is a congruent number.

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, 251659 + ... + 1570858.

Almost surely, 21202132213200 is an apocalyptic number.

1202132213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1202132213200 is an abundant number, since it is smaller than the sum of its proper divisors (1887407590472).

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

1202132213200 is a wasteful number, since it uses less digits than its factorization.

1202132213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822649 (or 1822638 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1202132213200 its reverse (23122312021), we get a palindrome (1225254525221).

The spelling of 1202132213200 in words is "one trillion, two hundred two billion, one hundred thirty-two million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 97 100 136 170 194 200 272 340 388 400 425 485 680 776 850 970 1360 1552 1649 1700 1940 2425 3298 3400 3880 4850 6596 6800 7760 8245 9700 13192 16490 19400 26384 32980 38800 41225 65960 82450 131920 164900 329800 659600 1822517 3645034 7290068 9112585 14580136 18225170 29160272 30982789 36450340 45562925 61965578 72900680 91125850 123931156 145801360 154913945 176784149 182251700 247862312 309827890 353568298 364503400 495724624 619655780 707136596 729006800 774569725 883920745 1239311560 1414273192 1549139450 1767841490 2478623120 2828546384 3005330533 3098278900 3535682980 4419603725 6010661066 6196557800 7071365960 8839207450 12021322132 12393115600 14142731920 15026652665 17678414900 24042644264 30053305330 35356829800 48085288528 60106610660 70713659600 75133263325 120213221320 150266526650 240426442640 300533053300 601066106600 1202132213200