Search a number
-
+
122312143400140 = 22521177392940361
BaseRepresentation
bin11011110011111000000011…
…110110111110110011001100
3121001001221000120111120000101
4123303320003312332303030
5112012430232202301030
61112045231210140444
734522521635622541
oct3363700366766314
9531057016446011
10122312143400140
1135a7731a307581
1211874ab5421724
135332ca75822c5
14222bd2172abc8
15e21945e3b7ca
hex6f3e03dbeccc

122312143400140 has 96 divisors (see below), whose sum is σ = 258691249575360. Its totient is φ = 48576443596800.

The previous prime is 122312143400137. The next prime is 122312143400143. The reversal of 122312143400140 is 41004341213221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122312143400137) and next prime (122312143400143).

It is a junction number, because it is equal to n+sod(n) for n = 122312143400099 and 122312143400108.

It is not an unprimeable number, because it can be changed into a prime (122312143400143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3030433560 + ... + 3030473920.

It is an arithmetic number, because the mean of its divisors is an integer number (2694700516410).

Almost surely, 2122312143400140 is an apocalyptic number.

122312143400140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122312143400140 is an abundant number, since it is smaller than the sum of its proper divisors (136379106175220).

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

122312143400140 is a wasteful number, since it uses less digits than its factorization.

122312143400140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42283 (or 42281 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 122312143400140 its reverse (41004341213221), we get a palindrome (163316484613361).

The spelling of 122312143400140 in words is "one hundred twenty-two trillion, three hundred twelve billion, one hundred forty-three million, four hundred thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 211 422 773 844 929 1055 1546 1858 2110 3092 3716 3865 4220 4645 7730 9290 15460 18580 40361 80722 161444 163103 196019 201805 326206 392038 403610 652412 718117 784076 807220 815515 980095 1436234 1631030 1960190 2872468 3262060 3590585 3920380 7181170 8516171 14362340 17032342 31199053 34064684 37495369 42580855 62398106 74990738 85161710 124796212 149981476 151522687 155995265 170323420 187476845 303045374 311990530 374953690 606090748 623981060 749907380 757613435 1515226870 3030453740 6583000183 7911522859 13166000366 15823045718 26332000732 28983920237 31646091436 32915000915 39557614295 57967840474 65830001830 79115228590 115935680948 131660003660 144919601185 158230457180 289839202370 579678404740 6115607170007 12231214340014 24462428680028 30578035850035 61156071700070 122312143400140