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1125201420 = 2232573128807
BaseRepresentation
bin100001100010001…
…0011011000001100
32220102021011011200
41003010103120030
54301022421140
6303352545500
736612024420
oct10304233014
92812234150
101125201420
11528168532
122749b2290
1314c165775
14a961cb80
1568bb3030
hex4311360c

1125201420 has 144 divisors (see below), whose sum is σ = 4026667008. Its totient is φ = 248883840.

The previous prime is 1125201409. The next prime is 1125201433. The reversal of 1125201420 is 241025211.

1125201420 is a `hidden beast` number, since 1 + 1 + 2 + 520 + 142 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1125201393 and 1125201402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24657 + ... + 53463.

Almost surely, 21125201420 is an apocalyptic number.

1125201420 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 1125201420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013333504).

1125201420 is an abundant number, since it is smaller than the sum of its proper divisors (2901465588).

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

1125201420 is a wasteful number, since it uses less digits than its factorization.

1125201420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28860 (or 28855 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1125201420 is about 33544.0221201930. The cubic root of 1125201420 is about 1040.1039775233.

Adding to 1125201420 its reverse (241025211), we get a palindrome (1366226631).

The spelling of 1125201420 in words is "one billion, one hundred twenty-five million, two hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 62 63 70 84 90 93 105 124 126 140 155 180 186 210 217 252 279 310 315 372 420 434 465 558 620 630 651 868 930 1085 1116 1260 1302 1395 1860 1953 2170 2604 2790 3255 3906 4340 5580 6510 7812 9765 13020 19530 28807 39060 57614 86421 115228 144035 172842 201649 259263 288070 345684 403298 432105 518526 576140 604947 806596 864210 893017 1008245 1037052 1209894 1296315 1728420 1786034 1814841 2016490 2419788 2592630 2679051 3024735 3572068 3629682 4032980 4465085 5185260 5358102 6049470 6251119 7259364 8037153 8930170 9074205 10716204 12098940 12502238 13395255 16074306 17860340 18148410 18753357 25004476 26790510 31255595 32148612 36296820 37506714 40185765 53581020 56260071 62511190 75013428 80371530 93766785 112520142 125022380 160743060 187533570 225040284 281300355 375067140 562600710 1125201420