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2214253132101 = 38641526501
BaseRepresentation
bin100000001110001011110…
…001010111100101000101
321211200101002220200000000
4200032023301113211011
5242234242300211401
64413114105111513
7315655154036043
oct40161361274505
97750332820000
102214253132101
117840721930aa
122b9178a88599
13130a5976060a
14792558db393
153c8e78d7186
hex2038bc57945

2214253132101 has 36 divisors (see below), whose sum is σ = 3326398568844. Its totient is φ = 1473863040000.

The previous prime is 2214253132081. The next prime is 2214253132103. The reversal of 2214253132101 is 1012313524122.

It is a happy number.

2214253132101 is a `hidden beast` number, since 2 + 2 + 1 + 425 + 3 + 132 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1017624983076 + 1196628149025 = 1008774^2 + 1093905^2 .

It is a de Polignac number, because none of the positive numbers 2k-2214253132101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214253132103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3942351 + ... + 4468851.

Almost surely, 22214253132101 is an apocalyptic number.

It is an amenable number.

2214253132101 is a deficient number, since it is larger than the sum of its proper divisors (1112145436743).

2214253132101 is an frugal number, since it uses more digits than its factorization.

2214253132101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527166 (or 527145 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 2214253132101 its reverse (1012313524122), we get a palindrome (3226566656223).

The spelling of 2214253132101 in words is "two trillion, two hundred fourteen billion, two hundred fifty-three million, one hundred thirty-two thousand, one hundred one".

Divisors: 1 3 9 27 81 243 641 729 1923 2187 5769 6561 17307 51921 155763 467289 526501 1401867 1579503 4205601 4738509 14215527 42646581 127939743 337487141 383819229 1012461423 1151457687 3037384269 3454373061 9112152807 27336458421 82009375263 246028125789 738084377367 2214253132101