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1232114100 = 2235271734513
BaseRepresentation
bin100100101110000…
…1001000110110100
310011212102212210120
41021130021012310
510010410122400
6322132251540
742350540250
oct11134110664
93155385716
101232114100
11582550618
122a4770bb0
131683597c9
14b98cd260
1573280ca0
hex497091b4

1232114100 has 144 divisors (see below), whose sum is σ = 4313973888. Its totient is φ = 265052160.

The previous prime is 1232114087. The next prime is 1232114111. The reversal of 1232114100 is 14112321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1232114100.

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 47 ways as a sum of consecutive naturals, for example, 18444 + ... + 52956.

It is an arithmetic number, because the mean of its divisors is an integer number (29958152).

Almost surely, 21232114100 is an apocalyptic number.

1232114100 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 1232114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156986944).

1232114100 is an abundant number, since it is smaller than the sum of its proper divisors (3081859788).

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

1232114100 is a wasteful number, since it uses less digits than its factorization.

1232114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34554 (or 34547 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1232114100 is about 35101.4828746593. The cubic root of 1232114100 is about 1072.0547757802.

Adding to 1232114100 its reverse (14112321), we get a palindrome (1246226421).

The spelling of 1232114100 in words is "one billion, two hundred thirty-two million, one hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 25 28 30 34 35 42 50 51 60 68 70 75 84 85 100 102 105 119 140 150 170 175 204 210 238 255 300 340 350 357 420 425 476 510 525 595 700 714 850 1020 1050 1190 1275 1428 1700 1785 2100 2380 2550 2975 3570 5100 5950 7140 8925 11900 17850 34513 35700 69026 103539 138052 172565 207078 241591 345130 414156 483182 517695 586721 690260 724773 862825 966364 1035390 1173442 1207955 1449546 1725650 1760163 2070780 2346884 2415910 2588475 2899092 2933605 3451300 3520326 3623865 4107047 4831820 5176950 5867210 6039775 7040652 7247730 8214094 8800815 10353900 11734420 12079550 12321141 14495460 14668025 16428188 17601630 18119325 20535235 24159100 24642282 29336050 35203260 36238650 41070470 44004075 49284564 58672100 61605705 72477300 82140940 88008150 102676175 123211410 176016300 205352350 246422820 308028525 410704700 616057050 1232114100