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423204212100 = 2235219401185153
BaseRepresentation
bin1100010100010001110…
…11111100110110000100
31111110100211101110220210
412022020323330312010
523413210234241400
6522230050555420
742401252310105
oct6121073746604
91443324343823
10423204212100
1115353082139a
126a02a298b70
1330ba5acaa67
14166a9c4c3ac
15b01dae5950
hex6288efcd84

423204212100 has 144 divisors (see below), whose sum is σ = 1292137922880. Its totient is φ = 106647552000.

The previous prime is 423204212047. The next prime is 423204212173. The reversal of 423204212100 is 1212402324.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2193124 + ... + 2378276.

It is an arithmetic number, because the mean of its divisors is an integer number (8973180020).

Almost surely, 2423204212100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423204212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646068961440).

423204212100 is an abundant number, since it is smaller than the sum of its proper divisors (868933710780).

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

423204212100 is a wasteful number, since it uses less digits than its factorization.

423204212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185590 (or 185583 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 423204212100 its reverse (1212402324), we get a palindrome (424416614424).

The spelling of 423204212100 in words is "four hundred twenty-three billion, two hundred four million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 401 475 570 802 950 1140 1203 1425 1604 1900 2005 2406 2850 4010 4812 5700 6015 7619 8020 10025 12030 15238 20050 22857 24060 30075 30476 38095 40100 45714 60150 76190 91428 114285 120300 152380 185153 190475 228570 370306 380950 457140 555459 571425 740612 761900 925765 1110918 1142850 1851530 2221836 2285700 2777295 3517907 3703060 4628825 5554590 7035814 9257650 10553721 11109180 13886475 14071628 17589535 18515300 21107442 27772950 35179070 42214884 52768605 55545900 70358140 74246353 87947675 105537210 148492706 175895350 211074420 222739059 263843025 296985412 351790700 371231765 445478118 527686050 742463530 890956236 1055372100 1113695295 1410680707 1484927060 1856158825 2227390590 2821361414 3712317650 4232042121 4454781180 5568476475 5642722828 7053403535 7424635300 8464084242 11136952950 14106807070 16928168484 21160210605 22273905900 28213614140 35267017675 42320421210 70534035350 84640842420 105801053025 141068070700 211602106050 423204212100