Search a number
-
+
12133333520 = 2457112385639
BaseRepresentation
bin10110100110011001…
…11111101000010000
31011022121000012112222
423103030333220100
5144322113133040
65323551240212
7606450430130
oct132314775020
934277005488
1012133333520
115166a50070
122427519068
1311b49796b9
14831608ac0
154b030bbb5
hex2d333fa10

12133333520 has 160 divisors (see below), whose sum is σ = 36700508160. Its totient is φ = 3617349120.

The previous prime is 12133333463. The next prime is 12133333573. The reversal of 12133333520 is 2533333121.

12133333520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12133333520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98861 + ... + 184499.

It is an arithmetic number, because the mean of its divisors is an integer number (229378176).

Almost surely, 212133333520 is an apocalyptic number.

12133333520 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 12133333520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18350254080).

12133333520 is an abundant number, since it is smaller than the sum of its proper divisors (24567174640).

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

12133333520 is a wasteful number, since it uses less digits than its factorization.

12133333520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85693 (or 85687 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 26.

Adding to 12133333520 its reverse (2533333121), we get a palindrome (14666666641).

The spelling of 12133333520 in words is "twelve billion, one hundred thirty-three million, three hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 23 28 35 40 44 46 55 56 70 77 80 88 92 110 112 115 140 154 161 176 184 220 230 253 280 308 322 368 385 440 460 506 560 616 644 770 805 880 920 1012 1232 1265 1288 1540 1610 1771 1840 2024 2530 2576 3080 3220 3542 4048 5060 6160 6440 7084 8855 10120 12880 14168 17710 20240 28336 35420 70840 85639 141680 171278 342556 428195 599473 685112 856390 942029 1198946 1370224 1712780 1884058 1969697 2397892 2997365 3425560 3768116 3939394 4710145 4795784 5994730 6594203 6851120 7536232 7878788 9420290 9591568 9848485 11989460 13188406 13787879 15072464 15757576 18840580 19696970 21666667 23978920 26376812 27575758 31515152 32971015 37681160 39393940 43333334 47957840 52753624 55151516 65942030 68939395 75362320 78787880 86666668 105507248 108333335 110303032 131884060 137878790 151666669 157575760 173333336 216666670 220606064 263768120 275757580 303333338 346666672 433333340 527536240 551515160 606666676 758333345 866666680 1103030320 1213333352 1516666690 1733333360 2426666704 3033333380 6066666760 12133333520