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2422122251130 = 232534977113093
BaseRepresentation
bin100011001111110001101…
…111001000001101111010
322120112220212100000110100
4203033301233020031322
5304141001244014010
65052412501500230
7336664306303041
oct43176157101572
98515825300410
102422122251130
1185424195895a
1233150ba11676
1314753615912a
1485334b37558
1543011b022c0
hex233f1bc837a

2422122251130 has 48 divisors (see below), whose sum is σ = 6315562398600. Its totient is φ = 644048544384.

The previous prime is 2422122251119. The next prime is 2422122251183. The reversal of 2422122251130 is 311522212242.

2422122251130 is a `hidden beast` number, since 2 + 4 + 22 + 122 + 2 + 511 + 3 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2416118945769 + 6003305361 = 1554387^2 + 77481^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2422122251094 and 2422122251103.

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, 38525137 + ... + 38587956.

Almost surely, 22422122251130 is an apocalyptic number.

2422122251130 is an abundant number, since it is smaller than the sum of its proper divisors (3893440147470).

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

2422122251130 is a wasteful number, since it uses less digits than its factorization.

2422122251130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77113455 (or 77113452 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 2422122251130 its reverse (311522212242), we get a palindrome (2733644463372).

The spelling of 2422122251130 in words is "two trillion, four hundred twenty-two billion, one hundred twenty-two million, two hundred fifty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 349 698 1047 1745 2094 3141 3490 5235 6282 10470 15705 31410 77113093 154226186 231339279 385565465 462678558 694017837 771130930 1156696395 1388035674 2313392790 3470089185 6940178370 26912469457 53824938914 80737408371 134562347285 161474816742 242212225113 269124694570 403687041855 484424450226 807374083710 1211061125565 2422122251130