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401222341100 = 225272273896491
BaseRepresentation
bin1011101011010101011…
…01110001000111101100
31102100121212121201202102
411311222231301013230
523033200404403400
6504152523114232
740662443425460
oct5655255610754
91370555551672
10401222341100
11145180608359
1265914672978
132bab19556b9
14155c266a4a0
15a683d989d5
hex5d6ab711ec

401222341100 has 144 divisors (see below), whose sum is σ = 1002138359040. Its totient is φ = 136582828800.

The previous prime is 401222341097. The next prime is 401222341129. The reversal of 401222341100 is 1143222104.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61808855 + ... + 61815345.

It is an arithmetic number, because the mean of its divisors is an integer number (6959294160).

Almost surely, 2401222341100 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 401222341100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501069179520).

401222341100 is an abundant number, since it is smaller than the sum of its proper divisors (600916017940).

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

401222341100 is a wasteful number, since it uses less digits than its factorization.

401222341100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7128 (or 7121 counting only the distinct ones).

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

Adding to 401222341100 its reverse (1143222104), we get a palindrome (402365563204).

The spelling of 401222341100 in words is "four hundred one billion, two hundred twenty-two million, three hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 227 350 389 454 700 778 908 1135 1556 1589 1945 2270 2723 3178 3890 4540 5446 5675 6356 6491 7780 7945 9725 10892 11350 12982 13615 15890 19450 22700 25964 27230 31780 32455 38900 39725 45437 54460 64910 68075 79450 88303 90874 129820 136150 158900 162275 176606 181748 227185 272300 324550 353212 441515 454370 618121 649100 883030 908740 1135925 1236242 1473457 1766060 2207575 2271850 2472484 2524999 2946914 3090605 4415150 4543700 5049998 5893828 6181210 7367285 8830300 10099996 10314199 12362420 12624995 14734570 15453025 17674993 20628398 25249990 29469140 30906050 35349986 36836425 41256796 50499980 51570995 61812100 63124975 70699972 73672850 88374965 103141990 126249950 147345700 176749930 206283980 252499900 257854975 353499860 441874825 515709950 573174773 883749650 1031419900 1146349546 1767499300 2292699092 2865873865 4012223411 5731747730 8024446822 11463495460 14329369325 16048893644 20061117055 28658738650 40122234110 57317477300 80244468220 100305585275 200611170550 401222341100