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1400131213 = 13314321879
BaseRepresentation
bin101001101110100…
…0100111010001101
310121120121000221121
41103131010322031
510331413144323
6350533400541
746460630125
oct12335047215
93546530847
101400131213
11659379338
12330a99151
131940c6410
14d3d47c85
1582dbda5d
hex53744e8d

1400131213 has 24 divisors (see below), whose sum is σ = 1594360320. Its totient is φ = 1221000480.

The previous prime is 1400131211. The next prime is 1400131217. The reversal of 1400131213 is 3121310041.

It is not a de Polignac number, because 1400131213 - 21 = 1400131211 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400131211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 744208 + ... + 746086.

It is an arithmetic number, because the mean of its divisors is an integer number (66431680).

Almost surely, 21400131213 is an apocalyptic number.

1400131213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1400131213 is a deficient number, since it is larger than the sum of its proper divisors (194229107).

1400131213 is a wasteful number, since it uses less digits than its factorization.

1400131213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1400131213 is about 37418.3272341242. The cubic root of 1400131213 is about 1118.7238901639.

Adding to 1400131213 its reverse (3121310041), we get a palindrome (4521441254).

The spelling of 1400131213 in words is "one billion, four hundred million, one hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 13 31 43 403 559 1333 1849 1879 17329 24037 24427 57319 58249 80797 745147 757237 1050361 2504707 3474271 32561191 45165523 107702401 1400131213