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1421201100 = 22352112411787
BaseRepresentation
bin101010010110101…
…1100111011001100
310200001020111101210
41110231130323030
510402311413400
6353005134420
750135003304
oct12455347314
93601214353
101421201100
1166a25a470
12337b5a410
131985927c7
14d6a70604
1584b81950
hex54b5cecc

1421201100 has 144 divisors (see below), whose sum is σ = 4506961536. Its totient is φ = 342912000.

The previous prime is 1421201069. The next prime is 1421201141. The reversal of 1421201100 is 11021241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 794407 + ... + 796193.

It is an arithmetic number, because the mean of its divisors is an integer number (31298344).

Almost surely, 21421201100 is an apocalyptic number.

1421201100 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 1421201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253480768).

1421201100 is an abundant number, since it is smaller than the sum of its proper divisors (3085760436).

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

1421201100 is a wasteful number, since it uses less digits than its factorization.

1421201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1421201100 is about 37698.8209364696. The cubic root of 1421201100 is about 1124.3076826820.

Adding to 1421201100 its reverse (11021241), we get a palindrome (1432222341).

The spelling of 1421201100 in words is "one billion, four hundred twenty-one million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 241 275 300 330 482 550 660 723 825 964 1100 1205 1446 1650 1787 2410 2651 2892 3300 3574 3615 4820 5302 5361 6025 7148 7230 7953 8935 10604 10722 12050 13255 14460 15906 17870 18075 19657 21444 24100 26510 26805 31812 35740 36150 39314 39765 44675 53020 53610 58971 66275 72300 78628 79530 89350 98285 107220 117942 132550 134025 159060 178700 196570 198825 235884 265100 268050 294855 393140 397650 430667 491425 536100 589710 795300 861334 982850 1179420 1292001 1474275 1722668 1965700 2153335 2584002 2948550 4306670 4737337 5168004 5897100 6460005 8613340 9474674 10766675 12920010 14212011 18949348 21533350 23686685 25840020 28424022 32300025 43066700 47373370 56848044 64600050 71060055 94746740 118433425 129200100 142120110 236866850 284240220 355300275 473733700 710600550 1421201100