Search a number
-
+
110020211022000 = 24353149123065113
BaseRepresentation
bin11001000001000000010011…
…100110001001100010110000
3112102112211101200011002010110
4121001000103212021202300
5103410032343010201000
61025554330500101320
732113461251415126
oct3101002346114260
9472484350132113
10110020211022000
11320683449a0164
121040a7a2094840
134950b275c2186
141d25014277916
15cabd28c63850
hex6410139898b0

110020211022000 has 160 divisors (see below), whose sum is σ = 357085734782400. Its totient is φ = 29141818521600.

The previous prime is 110020211021953. The next prime is 110020211022017. The reversal of 110020211022000 is 220112020011.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60638557 + ... + 62426556.

It is an arithmetic number, because the mean of its divisors is an integer number (2231785842390).

Almost surely, 2110020211022000 is an apocalyptic number.

110020211022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110020211022000 is an abundant number, since it is smaller than the sum of its proper divisors (247065523760400).

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

110020211022000 is a wasteful number, since it uses less digits than its factorization.

110020211022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123065288 (or 123065272 counting only the distinct ones).

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

Adding to 110020211022000 its reverse (220112020011), we get a palindrome (110240323042011).

The spelling of 110020211022000 in words is "one hundred ten trillion, twenty billion, two hundred eleven million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 149 150 200 240 250 298 300 375 400 447 500 596 600 745 750 894 1000 1192 1200 1490 1500 1788 2000 2235 2384 2980 3000 3576 3725 4470 5960 6000 7152 7450 8940 11175 11920 14900 17880 18625 22350 29800 35760 37250 44700 55875 59600 74500 89400 111750 149000 178800 223500 298000 447000 894000 123065113 246130226 369195339 492260452 615325565 738390678 984520904 1230651130 1476781356 1845976695 1969041808 2461302260 2953562712 3076627825 3691953390 4922604520 5907125424 6153255650 7383906780 9229883475 9845209040 12306511300 14767813560 15383139125 18336701837 18459766950 24613022600 29535627120 30766278250 36673403674 36919533900 46149417375 49226045200 55010105511 61532556500 73346807348 73839067800 91683509185 92298834750 110020211022 123065113000 146693614696 147678135600 183367018370 184597669500 220040422044 246130226000 275050527555 293387229392 366734036740 369195339000 440080844088 458417545925 550101055110 733468073480 738390678000 880161688176 916835091850 1100202110220 1375252637775 1466936146960 1833670183700 2200404220440 2292087729625 2750505275550 3667340367400 4400808440880 4584175459250 5501010551100 6876263188875 7334680734800 9168350918500 11002021102200 13752526377750 18336701837000 22004042204400 27505052755500 36673403674000 55010105511000 110020211022000