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13550100 = 2235231247
BaseRepresentation
bin110011101100…
…001000010100
3221111102020120
4303230020110
511432100400
61202231540
7223113444
oct63541024
927442216
1013550100
117715433
1246555b0
132a65715
141b2a124
1512c9ca0
hexcec214

13550100 has 108 divisors (see below), whose sum is σ = 41372352. Its totient is φ = 3422400.

The previous prime is 13550093. The next prime is 13550107. The reversal of 13550100 is 105531.

It is an interprime number because it is at equal distance from previous prime (13550093) and next prime (13550107).

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 13550100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13550107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 288277 + ... + 288323.

Almost surely, 213550100 is an apocalyptic number.

13550100 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 13550100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20686176).

13550100 is an abundant number, since it is smaller than the sum of its proper divisors (27822252).

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

13550100 is a wasteful number, since it uses less digits than its factorization.

13550100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 13550100 is about 3681.0460469818. The cubic root of 13550100 is about 238.4043452581.

Adding to 13550100 its reverse (105531), we get a palindrome (13655631).

The spelling of 13550100 in words is "thirteen million, five hundred fifty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 47 50 60 62 75 93 94 100 124 141 150 155 186 188 235 282 300 310 372 465 470 564 620 705 775 930 940 961 1175 1410 1457 1550 1860 1922 2325 2350 2820 2883 2914 3100 3525 3844 4371 4650 4700 4805 5766 5828 7050 7285 8742 9300 9610 11532 14100 14415 14570 17484 19220 21855 24025 28830 29140 36425 43710 45167 48050 57660 72075 72850 87420 90334 96100 109275 135501 144150 145700 180668 218550 225835 271002 288300 437100 451670 542004 677505 903340 1129175 1355010 2258350 2710020 3387525 4516700 6775050 13550100