Search a number
-
+
1221322311230 = 257471571236297
BaseRepresentation
bin10001110001011100011…
…110111000011000111110
311022202110001101202020012
4101301130132320120332
5130002232002424410
62333022343423222
7154144335233510
oct21613436703076
94282401352205
101221322311230
11430a6167210a
1217884a454b12
138b229c0ca08
144318029bbb0
1521b81aa2605
hex11c5c7b863e

1221322311230 has 64 divisors (see below), whose sum is σ = 2567534671872. Its totient is φ = 409567130880.

The previous prime is 1221322311227. The next prime is 1221322311233. The reversal of 1221322311230 is 321132231221.

It is an interprime number because it is at equal distance from previous prime (1221322311227) and next prime (1221322311233).

It is a super-2 number, since 2×12213223112302 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1221322311196 and 1221322311205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221322311233) 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, 5050442 + ... + 5286738.

It is an arithmetic number, because the mean of its divisors is an integer number (40117729248).

Almost surely, 21221322311230 is an apocalyptic number.

1221322311230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1221322311230 is an abundant number, since it is smaller than the sum of its proper divisors (1346212360642).

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

1221322311230 is a wasteful number, since it uses less digits than its factorization.

1221322311230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237929.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 1221322311230 its reverse (321132231221), we get a palindrome (1542454542451).

The spelling of 1221322311230 in words is "one trillion, two hundred twenty-one billion, three hundred twenty-two million, three hundred eleven thousand, two hundred thirty".

Divisors: 1 2 5 7 10 14 35 47 70 94 235 329 470 658 1571 1645 3142 3290 7855 10997 15710 21994 54985 73837 109970 147674 236297 369185 472594 516859 738370 1033718 1181485 1654079 2362970 2584295 3308158 5168590 8270395 11105959 16540790 22211918 55529795 77741713 111059590 155483426 371222587 388708565 742445174 777417130 1856112935 2598558109 3712225870 5197116218 12992790545 17447461589 25985581090 34894923178 87237307945 122132231123 174474615890 244264462246 610661155615 1221322311230