Search a number
-
+
122210331434244 = 22328993434082527
BaseRepresentation
bin11011110010011001001111…
…011001001001110100000100
3121000201012020010022210211200
4123302121033121021310010
5112004243224321343434
61111530352354302500
734512255640321614
oct3362311731116404
9530635203283750
10122210331434244
1135a381240946a9
1211859220887a30
1353265005531c1
142227023b9aa44
15e1de87ad3199
hex6f264f649d04

122210331434244 has 72 divisors (see below), whose sum is σ = 312425089966080. Its totient is φ = 40274739533952.

The previous prime is 122210331434209. The next prime is 122210331434281. The reversal of 122210331434244 is 442434133012221.

122210331434244 is a `hidden beast` number, since 1 + 2 + 2 + 210 + 3 + 3 + 1 + 434 + 2 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 122210331434199 and 122210331434208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27893709 + ... + 31976235.

It is an arithmetic number, because the mean of its divisors is an integer number (4339237360640).

Almost surely, 2122210331434244 is an apocalyptic number.

It is an amenable number.

122210331434244 is an abundant number, since it is smaller than the sum of its proper divisors (190214758531836).

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

122210331434244 is a wasteful number, since it uses less digits than its factorization.

122210331434244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4091969 (or 4091964 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 122210331434244 its reverse (442434133012221), we get a palindrome (564644464446465).

The spelling of 122210331434244 in words is "one hundred twenty-two trillion, two hundred ten billion, three hundred thirty-one million, four hundred thirty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 9343 18686 28029 37372 56058 84087 112116 168174 336348 831527 1663054 2494581 3326108 4082527 4989162 7483743 8165054 9978324 12247581 14967486 16330108 24495162 29934972 36742743 48990324 73485486 146970972 363344903 726689806 1090034709 1453379612 2180069418 3270104127 4360138836 6540208254 13080416508 38143049761 76286099522 114429149283 152572199044 228858298566 343287447849 457716597132 686574895698 1373149791396 3394731428729 6789462857458 10184194286187 13578925714916 20368388572374 30552582858561 40736777144748 61105165717122 122210331434244