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11011220400 = 243529176017
BaseRepresentation
bin10100100000101000…
…11110001110110000
31001102101112221201210
422100110132032300
5140022333023100
65020344400120
7536603554245
oct122024361660
931371487653
1011011220400
114740601954
122173776040
13106635583b
147665915cc
15446a58c50
hex29051e3b0

11011220400 has 60 divisors (see below), whose sum is σ = 35272613192. Its totient is φ = 2936325120.

The previous prime is 11011220377. The next prime is 11011220411. The reversal of 11011220400 is 402211011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 4586809 + ... + 4589208.

Almost surely, 211011220400 is an apocalyptic number.

11011220400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011220400 is an abundant number, since it is smaller than the sum of its proper divisors (24261392792).

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

11011220400 is a wasteful number, since it uses less digits than its factorization.

11011220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9176038 (or 9176027 counting only the distinct ones).

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

Adding to 11011220400 its reverse (402211011), we get a palindrome (11413431411).

The spelling of 11011220400 in words is "eleven billion, eleven million, two hundred twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 9176017 18352034 27528051 36704068 45880085 55056102 73408136 91760170 110112204 137640255 146816272 183520340 220224408 229400425 275280510 367040680 440448816 458800850 550561020 688201275 734081360 917601700 1101122040 1376402550 1835203400 2202244080 2752805100 3670406800 5505610200 11011220400