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1211425140 = 2235371912857
BaseRepresentation
bin100100000110100…
…1110000101110100
310010102111202212210
41020031032011310
54440111101030
6320113013420
742006641502
oct11015160564
93112452783
101211425140
115718aa702
12299854270
13163c94913
14b6c65672
1571545bb0
hex4834e174

1211425140 has 96 divisors (see below), whose sum is σ = 3503130624. Its totient is φ = 312560640.

The previous prime is 1211425139. The next prime is 1211425183. The reversal of 1211425140 is 415241121.

It is a super-3 number, since 3×12114251403 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 422592 + ... + 425448.

It is an arithmetic number, because the mean of its divisors is an integer number (36490944).

Almost surely, 21211425140 is an apocalyptic number.

1211425140 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 1211425140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751565312).

1211425140 is an abundant number, since it is smaller than the sum of its proper divisors (2291705484).

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

1211425140 is a wasteful number, since it uses less digits than its factorization.

1211425140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 1211425140 is about 34805.5331808033. The cubic root of 1211425140 is about 1066.0204286525.

Adding to 1211425140 its reverse (415241121), we get a palindrome (1626666261).

The spelling of 1211425140 in words is "one billion, two hundred eleven million, four hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 191 222 370 382 444 555 573 740 764 955 1110 1146 1910 2220 2292 2857 2865 3820 5714 5730 7067 8571 11428 11460 14134 14285 17142 21201 28268 28570 34284 35335 42402 42855 57140 70670 84804 85710 105709 106005 141340 171420 211418 212010 317127 422836 424020 528545 545687 634254 1057090 1091374 1268508 1585635 1637061 2114180 2182748 2728435 3171270 3274122 5456870 6342540 6548244 8185305 10913740 16370610 20190419 32741220 40380838 60571257 80761676 100952095 121142514 201904190 242285028 302856285 403808380 605712570 1211425140