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1214214100 = 2252115359353
BaseRepresentation
bin100100001011111…
…0110111111010100
310010121202110121121
41020113312333110
54441314322400
6320252453324
742042435541
oct11027667724
93117673547
101214214100
11573435030
1229a77a244
131647301a8
14b738dbc8
15718e721a
hex485f6fd4

1214214100 has 144 divisors (see below), whose sum is σ = 2986683840. Its totient is φ = 424652800.

The previous prime is 1214214011. The next prime is 1214214109. The reversal of 1214214100 is 14124121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214214109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3439524 + ... + 3439876.

It is an arithmetic number, because the mean of its divisors is an integer number (20740860).

Almost surely, 21214214100 is an apocalyptic number.

1214214100 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 1214214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493341920).

1214214100 is an abundant number, since it is smaller than the sum of its proper divisors (1772469740).

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

1214214100 is a wasteful number, since it uses less digits than its factorization.

1214214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1214214100 is about 34845.5750418902. The cubic root of 1214214100 is about 1066.8378707401.

Adding to 1214214100 its reverse (14124121), we get a palindrome (1228338221).

It can be divided in two parts, 121421 and 4100, that added together give a palindrome (125521).

The spelling of 1214214100 in words is "one billion, two hundred fourteen million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 53 55 59 100 106 110 118 212 220 236 265 275 295 353 530 550 583 590 649 706 1060 1100 1166 1180 1298 1325 1412 1475 1765 2332 2596 2650 2915 2950 3127 3245 3530 3883 5300 5830 5900 6254 6490 7060 7766 8825 11660 12508 12980 14575 15532 15635 16225 17650 18709 19415 20827 29150 31270 32450 34397 35300 37418 38830 41654 58300 62540 64900 68794 74836 77660 78175 83308 93545 97075 104135 137588 156350 171985 187090 194150 205799 208270 229097 312700 343970 374180 388300 411598 416540 458194 467725 520675 687940 823196 859925 916388 935450 1028995 1041350 1103831 1145485 1719850 1870900 2057990 2082700 2207662 2290970 3439700 4115980 4415324 4581940 5144975 5519155 5727425 10289950 11038310 11454850 12142141 20579900 22076620 22909700 24284282 27595775 48568564 55191550 60710705 110383100 121421410 242842820 303553525 607107050 1214214100