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201332114010 = 232517297016473
BaseRepresentation
bin1011101110000001010…
…1000100001001011010
3201020200011220002101100
42323200111010021122
511244312010122020
6232253553532230
720355124506216
oct2734025041132
9636604802340
10201332114010
1178425803175
1233029874076
1315ca72bc411
149a5cda1946
1553853a9a90
hex2ee054425a

201332114010 has 192 divisors, whose sum is σ = 574274357280. Its totient is φ = 48710860800.

The previous prime is 201332113963. The next prime is 201332114023. The reversal of 201332114010 is 10411233102.

201332114010 is a `hidden beast` number, since 20 + 1 + 33 + 211 + 401 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 48531649401 + 152800464609 = 220299^2 + 390897^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31100134 + ... + 31106606.

Almost surely, 2201332114010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201332114010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287137178640).

201332114010 is an abundant number, since it is smaller than the sum of its proper divisors (372942243270).

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

201332114010 is a wasteful number, since it uses less digits than its factorization.

201332114010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7233 (or 7230 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201332114010 its reverse (10411233102), we get a palindrome (211743347112).

The spelling of 201332114010 in words is "two hundred one billion, three hundred thirty-two million, one hundred fourteen thousand, ten".