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11245006900 = 2252190758967
BaseRepresentation
bin10100111100100000…
…10011000000110100
31002000200110112112001
422132100103000310
5141012210210100
65055455305044
7545442660451
oct123620230064
932020415461
1011245006900
114850571136
122219b1b184
1310a290c44a
1478964a828
1545c338d6a
hex29e413034

11245006900 has 36 divisors (see below), whose sum is σ = 24414874848. Its totient is φ = 4495567840.

The previous prime is 11245006897. The next prime is 11245006907. The reversal of 11245006900 is 960054211.

It is a super-2 number, since 2×112450069002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11245006907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161217 + ... + 220183.

It is an arithmetic number, because the mean of its divisors is an integer number (678190968).

Almost surely, 211245006900 is an apocalyptic number.

11245006900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11245006900 is an abundant number, since it is smaller than the sum of its proper divisors (13169867948).

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

11245006900 is a wasteful number, since it uses less digits than its factorization.

11245006900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60888 (or 60881 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 11245006900 in words is "eleven billion, two hundred forty-five million, six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1907 3814 7628 9535 19070 38140 47675 58967 95350 117934 190700 235868 294835 589670 1179340 1474175 2948350 5896700 112450069 224900138 449800276 562250345 1124500690 2249001380 2811251725 5622503450 11245006900