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11220023010 = 2357671395737
BaseRepresentation
bin10100111001100001…
…11111011011100010
31001221221110020001210
422130300333123202
5140434311214020
65053204010550
7545020423230
oct123460773342
931857406053
1011220023010
114838457399
122211690a56
13109a6a2691
147861c5950
1545a0513e0
hex29cc3f6e2

11220023010 has 128 divisors (see below), whose sum is σ = 31464437760. Its totient is φ = 2507687424.

The previous prime is 11220022999. The next prime is 11220023057. The reversal of 11220023010 is 1032002211.

It is a Curzon 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 63 ways as a sum of consecutive naturals, for example, 1952862 + ... + 1958598.

It is an arithmetic number, because the mean of its divisors is an integer number (245815920).

Almost surely, 211220023010 is an apocalyptic number.

11220023010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11220023010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15732218880).

11220023010 is an abundant number, since it is smaller than the sum of its proper divisors (20244414750).

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

11220023010 is a wasteful number, since it uses less digits than its factorization.

11220023010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5960.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11220023010 its reverse (1032002211), we get a palindrome (12252025221).

The spelling of 11220023010 in words is "eleven billion, two hundred twenty million, twenty-three thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 67 70 105 134 139 201 210 278 335 402 417 469 670 695 834 938 973 1005 1390 1407 1946 2010 2085 2345 2814 2919 4170 4690 4865 5737 5838 7035 9313 9730 11474 14070 14595 17211 18626 27939 28685 29190 34422 40159 46565 55878 57370 65191 80318 86055 93130 120477 130382 139695 172110 195573 200795 240954 279390 325955 384379 391146 401590 602385 651910 768758 797443 977865 1153137 1204770 1594886 1921895 1955730 2306274 2392329 2690653 3843790 3987215 4784658 5381306 5582101 5765685 7974430 8071959 11164202 11531370 11961645 13453265 16143918 16746303 23923290 26906530 27910505 33492606 40359795 53428681 55821010 80719590 83731515 106857362 160286043 167463030 267143405 320572086 374000767 534286810 748001534 801430215 1122002301 1602860430 1870003835 2244004602 3740007670 5610011505 11220023010