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1125241410 = 235313753617
BaseRepresentation
bin100001100010001…
…1101001001000010
32220102100012000210
41003010131021002
54301030211120
6303353454550
736612252126
oct10304351102
92812305023
101125241410
11528195587
12274a11456
1314c17aa27
14a962d586
1568bbece0
hex4311d242

1125241410 has 128 divisors (see below), whose sum is σ = 2921785344. Its totient is φ = 276756480.

The previous prime is 1125241391. The next prime is 1125241423. The reversal of 1125241410 is 141425211.

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 63 ways as a sum of consecutive naturals, for example, 1823422 + ... + 1824038.

It is an arithmetic number, because the mean of its divisors is an integer number (22826448).

Almost surely, 21125241410 is an apocalyptic number.

1125241410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125241410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460892672).

1125241410 is an abundant number, since it is smaller than the sum of its proper divisors (1796543934).

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

1125241410 is a wasteful number, since it uses less digits than its factorization.

1125241410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748.

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

The square root of 1125241410 is about 33544.6181972608. The cubic root of 1125241410 is about 1040.1162992477.

Adding to 1125241410 its reverse (141425211), we get a palindrome (1266666621).

The spelling of 1125241410 in words is "one billion, one hundred twenty-five million, two hundred forty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 37 53 62 74 93 106 111 155 159 185 186 222 265 310 318 370 465 530 555 617 795 930 1110 1147 1234 1590 1643 1851 1961 2294 3085 3286 3441 3702 3922 4929 5735 5883 6170 6882 8215 9255 9805 9858 11470 11766 16430 17205 18510 19127 19610 22829 24645 29415 32701 34410 38254 45658 49290 57381 58830 60791 65402 68487 95635 98103 114145 114762 121582 136974 163505 182373 191270 196206 228290 286905 303955 327010 342435 364746 490515 573810 607910 684870 707699 911865 981030 1013731 1209937 1415398 1823730 2027462 2123097 2419874 3041193 3538495 3629811 4246194 5068655 6049685 6082386 7076990 7259622 10137310 10615485 12099370 15205965 18149055 21230970 30411930 36298110 37508047 75016094 112524141 187540235 225048282 375080470 562620705 1125241410