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2330122233231 = 341341732273257
BaseRepresentation
bin100001111010000110000…
…110111010010110001111
322020202110020001212120000
4201322012012322112033
5301134042242430411
64542235434055343
7330226413121362
oct41720606722617
98222406055500
102330122233231
11819221288811
1231771527a553
1313b963b84610
1480ac83780d9
1540929dac956
hex21e861ba58f

2330122233231 has 160 divisors (see below), whose sum is σ = 3910932704448. Its totient is φ = 1373283901440.

The previous prime is 2330122233227. The next prime is 2330122233269. The reversal of 2330122233231 is 1323322210332.

2330122233231 is a `hidden beast` number, since 2 + 3 + 301 + 2 + 22 + 332 + 3 + 1 = 666.

2330122233231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2330122233231 - 22 = 2330122233227 is a prime.

It is a super-2 number, since 2×23301222332312 (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2330122233195 and 2330122233204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330122233211) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 715418155 + ... + 715421411.

Almost surely, 22330122233231 is an apocalyptic number.

2330122233231 is a deficient number, since it is larger than the sum of its proper divisors (1580810471217).

2330122233231 is a wasteful number, since it uses less digits than its factorization.

2330122233231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3614 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2330122233231 its reverse (1323322210332), we get a palindrome (3653444443563).

The spelling of 2330122233231 in words is "two trillion, three hundred thirty billion, one hundred twenty-two million, two hundred thirty-three thousand, two hundred thirty-one".

Divisors: 1 3 9 13 27 39 41 73 81 117 123 219 227 351 369 533 657 681 949 1053 1107 1599 1971 2043 2847 2951 2993 3257 3321 4797 5913 6129 8541 8853 8979 9307 9771 14391 16571 18387 25623 26559 26937 27921 29313 38909 42341 43173 49713 76869 79677 80811 83763 87939 116727 120991 127023 133537 149139 215423 237761 239031 242433 251289 263817 350181 362973 381069 400611 447417 646269 679411 713283 739339 753867 1050543 1088919 1143207 1201833 1342251 1735981 1938807 2038233 2139849 2218017 3090893 3151629 3266757 3429621 3605499 5207943 5816421 6114699 6419547 6654051 8832343 9272679 9611407 9748201 9800271 10816497 15623829 17449263 18344097 19258641 19962153 26497029 27818037 28834221 29244603 30312899 46871487 53971747 55032291 59886459 79491087 83454111 86502663 87733809 90938697 126726613 140614461 161915241 238473261 250362333 259507989 263201427 272816091 380179839 394067687 485745723 701632711 715419783 778523967 789604281 818448273 1140539517 1182203061 1457237169 2104898133 2212841627 2455344819 3421618551 3546609183 4371711507 6314694399 6638524881 10264855653 10639827549 18944083197 19915574643 28766941151 31919482647 56832249591 59746723929 86300823453 179240171787 258902470359 776707411077 2330122233231