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11276316100 = 225272372412
BaseRepresentation
bin10101000000001111…
…01110110111000100
31002002212101012200001
422200013232313010
5141043214103400
65102534331044
7546303051100
oct124007566704
932085335601
1011276316100
114867206205
1222284b9a84
1310a92522ba
1478d87a900
1545ee70a6a
hex2a01eedc4

11276316100 has 243 divisors, whose sum is σ = 29985684309. Its totient is φ = 3669926400.

The previous prime is 11276316083. The next prime is 11276316133. The reversal of 11276316100 is 161367211.

The square root of 11276316100 is 106190.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 8349938884 + 2926377216 = 91378^2 + 54096^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 275032080 + ... + 275032120.

Almost surely, 211276316100 is an apocalyptic number.

11276316100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11276316100 is the 106190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11276316100

11276316100 is an abundant number, since it is smaller than the sum of its proper divisors (18709368209).

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

11276316100 is a wasteful number, since it uses less digits than its factorization.

11276316100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The spelling of 11276316100 in words is "eleven billion, two hundred seventy-six million, three hundred sixteen thousand, one hundred".