Search a number
-
+
211232133120 = 212353438023
BaseRepresentation
bin1100010010111001101…
…0101001000000000000
3202012020010112011111210
43010232122221000000
511430100411224440
6241012205410120
721155346335541
oct3045632510000
9665203464453
10211232133120
118164603a048
1234b31269940
1316bc43719a8
14a31bb3a4c8
1557645b8a80
hex312e6a9000

211232133120 has 104 divisors (see below), whose sum is σ = 675860510016. Its totient is φ = 56328552448.

The previous prime is 211232133109. The next prime is 211232133139. The reversal of 211232133120 is 21331232112.

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 7 ways as a sum of consecutive naturals, for example, 1657572 + ... + 1780451.

Almost surely, 2211232133120 is an apocalyptic number.

211232133120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211232133120 is an abundant number, since it is smaller than the sum of its proper divisors (464628376896).

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

211232133120 is an equidigital number, since it uses as much as digits as its factorization.

211232133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438055 (or 3438033 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 211232133120 its reverse (21331232112), we get a palindrome (232563365232).

The spelling of 211232133120 in words is "two hundred eleven billion, two hundred thirty-two million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 10240 12288 15360 20480 30720 61440 3438023 6876046 10314069 13752092 17190115 20628138 27504184 34380230 41256276 51570345 55008368 68760460 82512552 103140690 110016736 137520920 165025104 206281380 220033472 275041840 330050208 412562760 440066944 550083680 660100416 825125520 880133888 1100167360 1320200832 1650251040 1760267776 2200334720 2640401664 3300502080 3520535552 4400669440 5280803328 6601004160 7041071104 8801338880 10561606656 13202008320 14082142208 17602677760 21123213312 26404016640 35205355520 42246426624 52808033280 70410711040 105616066560 211232133120