Search a number
-
+
13121033200 = 2452114172733
BaseRepresentation
bin11000011100001001…
…10001001111110000
31020212102112112210121
430032010301033300
5203332441030300
610005553140024
7643102641052
oct141604611760
936772475717
1013121033200
1156235324a0
12266225a614
13131149ac92
148c68738d2
1551bdad81a
hex30e1313f0

13121033200 has 120 divisors (see below), whose sum is σ = 35228276496. Its totient is φ = 4654848000.

The previous prime is 13121033197. The next prime is 13121033221. The reversal of 13121033200 is 233012131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144034 + ... + 216766.

Almost surely, 213121033200 is an apocalyptic number.

13121033200 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 13121033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17614138248).

13121033200 is an abundant number, since it is smaller than the sum of its proper divisors (22107243296).

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

13121033200 is a wasteful number, since it uses less digits than its factorization.

13121033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72803 (or 72792 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13121033200 its reverse (233012131), we get a palindrome (13354045331).

The spelling of 13121033200 in words is "thirteen billion, one hundred twenty-one million, thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 41 44 50 55 80 82 88 100 110 164 176 200 205 220 275 328 400 410 440 451 550 656 820 880 902 1025 1100 1640 1804 2050 2200 2255 3280 3608 4100 4400 4510 7216 8200 9020 11275 16400 18040 22550 36080 45100 72733 90200 145466 180400 290932 363665 581864 727330 800063 1163728 1454660 1600126 1818325 2909320 2982053 3200252 3636650 4000315 5818640 5964106 6400504 7273300 8000630 11928212 12801008 14546600 14910265 16001260 20001575 23856424 29093200 29820530 32002520 32802583 40003150 47712848 59641060 64005040 65605166 74551325 80006300 119282120 131210332 149102650 160012600 164012915 238564240 262420664 298205300 320025200 328025830 524841328 596410600 656051660 820064575 1192821200 1312103320 1640129150 2624206640 3280258300 6560516600 13121033200