Search a number
-
+
10222220431010 = 2572291734158197
BaseRepresentation
bin1001010011000000101111…
…0100010100111010100010
31100012020100010011210022002
42110300023310110322202
52314440101412243020
633424005004044002
72103350103010100
oct224601364247242
940166303153262
1010222220431010
113291245a38995
121191174b33602
13591c49b88313
14274a88370c70
1512ad84038975
hex94c0bd14ea2

10222220431010 has 96 divisors (see below), whose sum is σ = 22270144192560. Its totient is φ = 3364346485248.

The previous prime is 10222220430901. The next prime is 10222220431021. The reversal of 10222220431010 is 1013402222201.

It can be written as a sum of positive squares in 8 ways, for example, as 9717141576289 + 505078854721 = 3117233^2 + 710689^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379232 + ... + 4537428.

Almost surely, 210222220431010 is an apocalyptic number.

10222220431010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10222220431010 is an abundant number, since it is smaller than the sum of its proper divisors (12047923761550).

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

10222220431010 is a wasteful number, since it uses less digits than its factorization.

10222220431010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4158420 (or 4158413 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10222220431010 its reverse (1013402222201), we get a palindrome (11235622653211).

The spelling of 10222220431010 in words is "ten trillion, two hundred twenty-two billion, two hundred twenty million, four hundred thirty-one thousand, ten".

Divisors: 1 2 5 7 10 14 29 35 49 58 70 98 145 173 203 245 290 346 406 490 865 1015 1211 1421 1730 2030 2422 2842 5017 6055 7105 8477 10034 12110 14210 16954 25085 35119 42385 50170 70238 84770 175595 245833 351190 491666 1229165 2458330 4158197 8316394 20790985 29107379 41581970 58214758 120587713 145536895 203751653 241175426 291073790 407503306 602938565 719368081 844113991 1018758265 1205877130 1438736162 1688227982 2037516530 3596840405 4220569955 5035576567 5908797937 7193680810 8441139910 10071153134 11817595874 20861674349 25177882835 29543989685 35249035969 41723348698 50355765670 59087979370 70498071938 104308371745 146031720443 176245179845 208616743490 292063440886 352490359690 730158602215 1022222043101 1460317204430 2044444086202 5111110215505 10222220431010