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2111004322400 = 2552672587827
BaseRepresentation
bin11110101110000001101…
…010011010101001100000
321110210212112001200200002
4132232001222122221200
5234041314101304100
64253440524515132
7305341440451121
oct36560152325140
97423775050602
102111004322400
117442a99a7206
122a11630abaa8
131240b3b5298c
147425d1c8048
1539da335c2d5
hex1eb81a9aa60

2111004322400 has 108 divisors (see below), whose sum is σ = 5231563978788. Its totient is φ = 831797303040.

The previous prime is 2111004322381. The next prime is 2111004322447. The reversal of 2111004322400 is 42234001112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 3297287 + ... + 3885113.

It is an arithmetic number, because the mean of its divisors is an integer number (48440407211).

Almost surely, 22111004322400 is an apocalyptic number.

2111004322400 is a gapful number since it is divisible by the number (20) 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 2111004322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615781989394).

2111004322400 is an abundant number, since it is smaller than the sum of its proper divisors (3120559656388).

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

2111004322400 is an equidigital number, since it uses as much as digits as its factorization.

2111004322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587981 (or 587901 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2111004322400 its reverse (42234001112), we get a palindrome (2153238323512).

The spelling of 2111004322400 in words is "two trillion, one hundred eleven billion, four million, three hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 67 80 100 134 160 200 268 335 400 536 670 800 1072 1340 1675 2144 2680 3350 4489 5360 6700 8978 10720 13400 17956 22445 26800 35912 44890 53600 71824 89780 112225 143648 179560 224450 359120 448900 587827 718240 897800 1175654 1795600 2351308 2939135 3591200 4702616 5878270 9405232 11756540 14695675 18810464 23513080 29391350 39384409 47026160 58782700 78768818 94052320 117565400 157537636 196922045 235130800 315075272 393844090 470261600 630150544 787688180 984610225 1260301088 1575376360 1969220450 2638755403 3150752720 3938440900 5277510806 6301505440 7876881800 10555021612 13193777015 15753763600 21110043224 26387554030 31507527200 42220086448 52775108060 65968885075 84440172896 105550216120 131937770150 211100432240 263875540300 422200864480 527751080600 1055502161200 2111004322400