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21233013031200 = 2535259149950657
BaseRepresentation
bin1001101001111101100100…
…01100110000000100100000
32210011212010012000100210110
410310332302030300010200
510240340202313444300
6113054151142331320
74321014566612205
oct464766214600440
983155105010713
1021233013031200
116846963349093
12246b125129b40
13bb035925b519
1453597d029cac
1526c4bce65550
hex134fb2330120

21233013031200 has 144 divisors (see below), whose sum is σ = 70284872417760. Its totient is φ = 5566168350720.

The previous prime is 21233013031199. The next prime is 21233013031207. The reversal of 21233013031200 is 213031033212.

It is not an unprimeable number, because it can be changed into a prime (21233013031207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74833729 + ... + 75116928.

It is an arithmetic number, because the mean of its divisors is an integer number (488089391790).

Almost surely, 221233013031200 is an apocalyptic number.

21233013031200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21233013031200 is an abundant number, since it is smaller than the sum of its proper divisors (49051859386560).

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

21233013031200 is a wasteful number, since it uses less digits than its factorization.

21233013031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149950739 (or 149950726 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 21233013031200 its reverse (213031033212), we get a palindrome (21446044064412).

The spelling of 21233013031200 in words is "twenty-one trillion, two hundred thirty-three billion, thirteen million, thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 59 60 75 80 96 100 118 120 150 160 177 200 236 240 295 300 354 400 472 480 590 600 708 800 885 944 1180 1200 1416 1475 1770 1888 2360 2400 2832 2950 3540 4425 4720 5664 5900 7080 8850 9440 11800 14160 17700 23600 28320 35400 47200 70800 141600 149950657 299901314 449851971 599802628 749753285 899703942 1199605256 1499506570 1799407884 2249259855 2399210512 2999013140 3598815768 3748766425 4498519710 4798421024 5998026280 7197631536 7497532850 8847088763 8997039420 11246299275 11996052560 14395263072 14995065700 17694177526 17994078840 22492598550 23992105120 26541266289 29990131400 35388355052 35988157680 44235443815 44985197100 53082532578 59980262800 70776710104 71976315360 88470887630 89970394200 106165065156 119960525600 132706331445 141553420208 176941775260 179940788400 212330130312 221177219075 265412662890 283106840416 353883550520 359881576800 424660260624 442354438150 530825325780 663531657225 707767101040 849320521248 884708876300 1061650651560 1327063314450 1415534202080 1769417752600 2123301303120 2654126628900 3538835505200 4246602606240 5308253257800 7077671010400 10616506515600 21233013031200