Search a number
-
+
1011220100 = 2252118231117
BaseRepresentation
bin111100010001011…
…111111010000100
32121110210022012022
4330101133322010
54032333020400
6244201542312
734026141362
oct7421377204
92543708168
101011220100
114798976a0
122427a4998
131316681b7
149842c632
155db9ab85
hex3c45fe84

1011220100 has 72 divisors (see below), whose sum is σ = 2398888128. Its totient is φ = 366940800.

The previous prime is 1011220097. The next prime is 1011220123. The reversal of 1011220100 is 10221101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 904742 + ... + 905858.

Almost surely, 21011220100 is an apocalyptic number.

1011220100 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 1011220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199444064).

1011220100 is an abundant number, since it is smaller than the sum of its proper divisors (1387668028).

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

1011220100 is a wasteful number, since it uses less digits than its factorization.

1011220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1011220100 is about 31799.6871053789. The cubic root of 1011220100 is about 1003.7261320288.

Adding to 1011220100 its reverse (10221101), we get a palindrome (1021441201).

The spelling of 1011220100 in words is "one billion, eleven million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 823 1100 1117 1646 2234 3292 4115 4468 5585 8230 9053 11170 12287 16460 18106 20575 22340 24574 27925 36212 41150 45265 49148 55850 61435 82300 90530 111700 122870 181060 226325 245740 307175 452650 614350 905300 919291 1228700 1838582 3677164 4596455 9192910 10112201 18385820 20224402 22982275 40448804 45964550 50561005 91929100 101122010 202244020 252805025 505610050 1011220100