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231322022003121 = 37237949961319819
BaseRepresentation
bin110100100110001011011010…
…111100110100000110110001
31010100001011120102221221100220
4310212023122330310012301
5220304440000113044441
62135551511520203253
766503315230435230
oct6446133274640661
91110034512857326
10231322022003121
1167785133960475
1221b3b911169529
139c0c75b07c62a
14411a08d1c6b17
151bb233b2b6466
hexd262daf341b1

231322022003121 has 128 divisors (see below), whose sum is σ = 373846425600000. Its totient is φ = 124376725414656.

The previous prime is 231322022003077. The next prime is 231322022003173. The reversal of 231322022003121 is 121300220223132.

231322022003121 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 231322022003121 - 26 = 231322022003057 is a prime.

It is a super-2 number, since 2×2313220220031212 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231322022003091 and 231322022003100.

It is not an unprimeable number, because it can be changed into a prime (231322021003121) 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, 11671720350 + ... + 11671740168.

It is an arithmetic number, because the mean of its divisors is an integer number (2920675200000).

Almost surely, 2231322022003121 is an apocalyptic number.

231322022003121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

231322022003121 is a deficient number, since it is larger than the sum of its proper divisors (142524403596879).

231322022003121 is a wasteful number, since it uses less digits than its factorization.

231322022003121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21043.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 231322022003121 its reverse (121300220223132), we get a palindrome (352622242226253).

The spelling of 231322022003121 in words is "two hundred thirty-one trillion, three hundred twenty-two billion, twenty-two million, three thousand, one hundred twenty-one".

Divisors: 1 3 7 21 23 69 79 161 237 483 499 553 613 1497 1659 1817 1839 3493 4291 5451 10479 11477 12719 12873 14099 19819 34431 38157 39421 42297 48427 59457 80339 98693 118263 138733 145281 241017 275947 296079 305887 338989 416199 455837 827841 906683 917661 1016967 1113821 1367511 1565701 2141209 2720049 3190859 3341463 4697103 6346781 6423627 7035401 7796747 9572577 9889681 10959907 12149047 19040343 21106203 23390241 24165073 29669043 32879721 36011123 36447141 49247807 69227767 72495219 85043329 108033369 147743421 169155511 207683301 227462663 252077861 255129987 279428081 507466533 555796679 682387989 756233583 781284799 838284243 959774713 1592238641 1667390037 1955996567 2343854397 2879324139 3890576753 4776715923 5468993593 5867989701 6062374453 6718422991 11671730259 16406980779 17969550377 18187123359 20155268973 22074818399 42436621171 53908651131 66224455197 125786852639 127309863513 139434612419 154523728793 377360557917 418303837257 463571186379 478927581787 976042286933 1436782745361 2928126860799 3352493072509 10057479217527 11015334381101 33046003143303 77107340667707 231322022003121