Search a number
-
+
11220101112 = 23311374326713
BaseRepresentation
bin10100111001100010…
…10010011111111000
31001221221121012012110
422130301102133320
5140434321213422
65053205412320
7545021200023
oct123461223770
931857535173
1011220101112
114838500040
12221170a0a0
13109a6cc0ac
147862061ba
1545a06960c
hex29cc527f8

11220101112 has 128 divisors (see below), whose sum is σ = 32159381760. Its totient is φ = 3231083520.

The previous prime is 11220101107. The next prime is 11220101161. The reversal of 11220101112 is 21110102211.

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

It is a congruent number.

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, 406668 + ... + 433380.

It is an arithmetic number, because the mean of its divisors is an integer number (251245170).

Almost surely, 211220101112 is an apocalyptic number.

11220101112 is a gapful number since it is divisible by the number (12) 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 11220101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16079690880).

11220101112 is an abundant number, since it is smaller than the sum of its proper divisors (20939280648).

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

11220101112 is a wasteful number, since it uses less digits than its factorization.

11220101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26813 (or 26809 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11220101112 its reverse (21110102211), we get a palindrome (32330203323).

The spelling of 11220101112 in words is "eleven billion, two hundred twenty million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 43 44 66 74 86 88 111 129 132 148 172 222 258 264 296 344 407 444 473 516 814 888 946 1032 1221 1419 1591 1628 1892 2442 2838 3182 3256 3784 4773 4884 5676 6364 9546 9768 11352 12728 17501 19092 26713 35002 38184 52503 53426 70004 80139 105006 106852 140008 160278 210012 213704 293843 320556 420024 587686 641112 881529 988381 1148659 1175372 1763058 1976762 2297318 2350744 2965143 3445977 3526116 3953524 4594636 5930286 6891954 7052232 7907048 9189272 10872191 11860572 12635249 13783908 21744382 23721144 25270498 27567816 32616573 37905747 42500383 43488764 50540996 65233146 75811494 85000766 86977528 101081992 127501149 130466292 151622988 170001532 255002298 260932584 303245976 340003064 467504213 510004596 935008426 1020009192 1402512639 1870016852 2805025278 3740033704 5610050556 11220101112