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314100441021 = 3193115110211153
BaseRepresentation
bin1001001001000011101…
…10000101111110111101
31010000202012101122111110
410210201312011332331
520121234203103041
6400143514312233
731456462461003
oct4444166057675
91100665348443
10314100441021
11111233568344
1250a5b728679
13238091a6c33
14112b9ac2a73
158285532516
hex4921d85fbd

314100441021 has 64 divisors (see below), whose sum is σ = 458923458560. Its totient is φ = 190356480000.

The previous prime is 314100441019. The next prime is 314100441089. The reversal of 314100441021 is 120144001413.

It is not a de Polignac number, because 314100441021 - 21 = 314100441019 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314100440021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272419581 + ... + 272420733.

It is an arithmetic number, because the mean of its divisors is an integer number (7170679040).

Almost surely, 2314100441021 is an apocalyptic number.

314100441021 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

314100441021 is a deficient number, since it is larger than the sum of its proper divisors (144823017539).

314100441021 is a wasteful number, since it uses less digits than its factorization.

314100441021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 314100441021 its reverse (120144001413), we get a palindrome (434244442434).

The spelling of 314100441021 in words is "three hundred fourteen billion, one hundred million, four hundred forty-one thousand, twenty-one".

Divisors: 1 3 19 31 57 93 151 453 589 1021 1153 1767 2869 3063 3459 4681 8607 14043 19399 21907 31651 35743 58197 65721 88939 94953 107229 154171 174103 266817 462513 522309 601369 679117 1177213 1804107 2037351 2929249 3307957 3531639 4779301 5397193 8787747 9923871 14337903 16191579 22367047 36493603 67101141 90806719 102546667 109480809 177759163 272420157 307640001 533277489 693378457 2080135371 3377424097 5510534053 10132272291 16531602159 104700147007 314100441021