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203012012313 = 331123197257587
BaseRepresentation
bin1011110100010001110…
…1010111100100011001
3201102000020220202122000
42331010131113210121
511311232033343223
6233132403551213
720444553430005
oct2750435274431
9642006822560
10203012012313
1179107a96680
123341838b509
13161b434b196
149b7c133705
155432adc543
hex2f44757919

203012012313 has 128 divisors (see below), whose sum is σ = 346030755840. Its totient is φ = 116436418560.

The previous prime is 203012012311. The next prime is 203012012477. The reversal of 203012012313 is 313210210302.

203012012313 is a `hidden beast` number, since 20 + 301 + 20 + 12 + 313 = 666.

It is not a de Polignac number, because 203012012313 - 21 = 203012012311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (203012012311) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 345846406 + ... + 345846992.

It is an arithmetic number, because the mean of its divisors is an integer number (2703365280).

Almost surely, 2203012012313 is an apocalyptic number.

203012012313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

203012012313 is a deficient number, since it is larger than the sum of its proper divisors (143018743527).

203012012313 is a wasteful number, since it uses less digits than its factorization.

203012012313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 203012012313 its reverse (313210210302), we get a palindrome (516222222615).

The spelling of 203012012313 in words is "two hundred three billion, twelve million, twelve thousand, three hundred thirteen".

Divisors: 1 3 9 11 23 27 33 69 99 197 207 253 257 297 587 591 621 759 771 1761 1773 2167 2277 2313 2827 4531 5283 5319 5911 6457 6501 6831 6939 8481 13501 13593 15849 17733 19371 19503 25443 40503 40779 49841 50629 53199 58113 58509 65021 76329 115639 121509 122337 148511 149523 150859 151887 159597 174339 195063 346917 364527 445533 448569 452577 455661 556919 585189 1040751 1164467 1272029 1336599 1345707 1357731 1366983 1659449 1670757 1755567 2659697 3122253 3469757 3493401 3816087 4009797 4073193 4978347 5012271 7979091 10409271 10480203 11448261 12809137 14935041 15036813 23937273 29256667 29719223 31227813 31440609 34344783 38167327 38427411 44805123 71811819 87770001 89157669 93683439 114501981 115282233 263310003 267473007 326911453 343505943 345846699 683542129 789930009 802419021 980734359 1030517829 2050626387 2942203077 6151879161 7518963419 8826609231 18455637483 22556890257 67670670771 203012012313