Search a number
-
+
122433201121110 = 235111307580748883
BaseRepresentation
bin11011110101101000110011…
…011101100010011101010110
3121001111111111021221221220120
4123311220303131202131112
5112021421143441333420
61112221011445212410
734534335600361545
oct3365506335423526
9531444437857816
10122433201121110
11360136a122a060
121189445b401106
13534152a936369
142233b2732815c
15e24b7dbc5d40
hex6f5a33762756

122433201121110 has 128 divisors (see below), whose sum is σ = 320859446206464. Its totient is φ = 29652353036160.

The previous prime is 122433201121087. The next prime is 122433201121117. The reversal of 122433201121110 is 11121102334221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122433201121117) 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, 2504592729 + ... + 2504641611.

It is an arithmetic number, because the mean of its divisors is an integer number (2506714423488).

Almost surely, 2122433201121110 is an apocalyptic number.

122433201121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122433201121110 is an abundant number, since it is smaller than the sum of its proper divisors (198426245085354).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122433201121110 is a wasteful number, since it uses less digits than its factorization.

122433201121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56018.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 122433201121110 its reverse (11121102334221), we get a palindrome (133554303455331).

The spelling of 122433201121110 in words is "one hundred twenty-two trillion, four hundred thirty-three billion, two hundred one million, one hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 1307 2614 3921 5807 6535 7842 11614 13070 14377 17421 19605 28754 29035 34842 39210 43131 48883 58070 63877 71885 86262 87105 97766 127754 143770 146649 174210 191631 215655 244415 293298 319385 383262 431310 488830 537713 638770 733245 958155 1075426 1466490 1613139 1916310 2688565 3226278 5377130 7589749 8065695 15179498 16131390 22769247 37948745 45538494 63890081 75897490 83487239 113846235 127780162 166974478 191670243 227692470 250461717 283863581 319450405 383340486 417436195 500923434 567727162 638900810 702790891 834872390 851590743 958351215 1252308585 1405581782 1419317905 1703181486 1916702430 2108372673 2504617170 2838635810 3122499391 3513954455 4216745346 4257953715 6244998782 7027908910 8515907430 9367498173 10541863365 15612496955 18734996346 21083726730 31224993910 46837490865 93674981730 371009700367 742019400734 1113029101101 1855048501835 2226058202202 3710097003670 4081106704037 5565145505505 8162213408074 11130291011010 12243320112111 20405533520185 24486640224222 40811067040370 61216600560555 122433201121110