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13122023122233 = 3319972776131553
BaseRepresentation
bin1011111011110011010110…
…0001101110010100111001
31201110110020100112101202000
42332330311201232110321
53204442400404402413
643524101343331213
72523014652130344
oct276746541562471
951413210471660
1013122023122233
1141aa022a64563
12157b176bb0b09
1374252b05441c
14335175d2545b
1517b50206b073
hexbef3586e539

13122023122233 has 128 divisors (see below), whose sum is σ = 20796020851200. Its totient is φ = 8153957892096.

The previous prime is 13122023122171. The next prime is 13122023122253. The reversal of 13122023122233 is 33222132022131.

13122023122233 is a `hidden beast` number, since 1 + 3 + 122 + 0 + 2 + 312 + 223 + 3 = 666.

It is not a de Polignac number, because 13122023122233 - 213 = 13122023114041 is a prime.

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 = 13122023122197 and 13122023122206.

It is not an unprimeable number, because it can be changed into a prime (13122023122253) 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, 8449466785 + ... + 8449468337.

It is an arithmetic number, because the mean of its divisors is an integer number (162468912900).

Almost surely, 213122023122233 is an apocalyptic number.

It is an amenable number.

13122023122233 is a deficient number, since it is larger than the sum of its proper divisors (7673997728967).

13122023122233 is a wasteful number, since it uses less digits than its factorization.

13122023122233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13122023122233 its reverse (33222132022131), we get a palindrome (46344155144364).

The spelling of 13122023122233 in words is "thirteen trillion, one hundred twenty-two billion, twenty-three million, one hundred twenty-two thousand, two hundred thirty-three".

Divisors: 1 3 9 19 27 57 97 171 277 291 513 613 831 873 1553 1839 1843 2493 2619 4659 5263 5517 5529 7479 11647 13977 15789 16551 16587 26869 29507 34941 41931 47367 49761 59461 80607 88521 104823 142101 150641 169801 178383 241821 265563 314469 430181 451923 509403 510511 535149 725463 796689 951989 1129759 1290543 1355769 1528209 1531533 1605447 2855967 2862179 3226219 3389277 3871629 4067307 4584627 4594599 8173439 8567901 8586537 9678657 10167831 11614887 13783797 16470697 18087791 24520317 25703703 25759611 29035971 30503493 41727557 49412091 54263373 73560951 77278833 87107913 92342933 125182671 148236273 162790119 220682853 263700953 277028799 312943243 375548013 444708819 488370357 791102859 792823583 831086397 938829729 1126644039 1754515727 2373308577 2378470749 2493259191 2816489187 5010318107 5263547181 7119925731 7135412247 8449467561 15030954321 15790641543 21406236741 25578992441 45092862963 47371924629 76736977323 135278588889 230210931969 486000856379 690632795907 1458002569137 4374007707411 13122023122233