Search a number
-
+
122310121232220 = 223517863231389107
BaseRepresentation
bin11011110011110110001011…
…010101000001011101011100
3121001001201210122102210010020
4123303312023111001131130
5112012412112013412340
61112044254412112140
734522420552522335
oct3363661325013534
9531051718383106
10122310121232220
1135a764818a9919
1211874630165650
135332a44645b3c
14222bbacd4128c
15e2187864a9d0
hex6f3d8b54175c

122310121232220 has 96 divisors (see below), whose sum is σ = 362617997591808. Its totient is φ = 30697064481792.

The previous prime is 122310121232207. The next prime is 122310121232287. The reversal of 122310121232220 is 22232121013221.

It is a super-2 number, since 2×1223101212322202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87354907 + ... + 88744013.

It is an arithmetic number, because the mean of its divisors is an integer number (3777270808248).

Almost surely, 2122310121232220 is an apocalyptic number.

122310121232220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122310121232220 is an abundant number, since it is smaller than the sum of its proper divisors (240307876359588).

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

122310121232220 is a wasteful number, since it uses less digits than its factorization.

122310121232220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475459 (or 1475457 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 122310121232220 its reverse (22232121013221), we get a palindrome (144542242245441).

The spelling of 122310121232220 in words is "one hundred twenty-two trillion, three hundred ten billion, one hundred twenty-one million, two hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 86323 172646 258969 345292 431615 517938 863230 1035876 1294845 1389107 1467491 1726460 2589690 2778214 2934982 4167321 4402473 5179380 5556428 5869964 6945535 7337455 8334642 8804946 13891070 14674910 16669284 17609892 20836605 22012365 23614819 27782140 29349820 41673210 44024730 47229638 70844457 83346420 88049460 94459276 118074095 141688914 236148190 283377828 354222285 472296380 708444570 1416889140 119911883561 239823767122 359735650683 479647534244 599559417805 719471301366 1199118835610 1438942602732 1798678253415 2038502020537 2398237671220 3597356506830 4077004041074 6115506061611 7194713013660 8154008082148 10192510102685 12231012123222 20385020205370 24462024246444 30577530308055 40770040410740 61155060616110 122310121232220