Search a number
-
+
106610224829060 = 22553843111929271
BaseRepresentation
bin11000001111011000100000…
…100101001001001010000100
3111222110211121212112021021202
4120033120200211021022010
5102433200220024012220
61014424021113402032
731312222520131631
oct3017304045111204
9458424555467252
10106610224829060
1130a73162658577
12bb59938709318
1347643bb58c144
141c47d68c11188
15c4d29b094275
hex60f620949284

106610224829060 has 48 divisors (see below), whose sum is σ = 228132725571072. Its totient is φ = 41834518377600.

The previous prime is 106610224829027. The next prime is 106610224829077. The reversal of 106610224829060 is 60928422016601.

It is a super-2 number, since 2×1066102248290602 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106610224828996 and 106610224829014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2972225 + ... + 14901495.

It is an arithmetic number, because the mean of its divisors is an integer number (4752765116064).

Almost surely, 2106610224829060 is an apocalyptic number.

106610224829060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106610224829060 is an abundant number, since it is smaller than the sum of its proper divisors (121522500742012).

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

106610224829060 is a wasteful number, since it uses less digits than its factorization.

106610224829060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11937764 (or 11937762 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The spelling of 106610224829060 in words is "one hundred six trillion, six hundred ten billion, two hundred twenty-four million, eight hundred twenty-nine thousand, sixty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 8431 16862 33724 42155 84310 168620 446843 893686 1787372 2234215 4468430 8936860 11929271 23858542 47717084 59646355 119292710 238585420 632251363 1264502726 2529005452 3161256815 6322513630 12645027260 100575683801 201151367602 402302735204 502878419005 1005756838010 2011513676020 5330511241453 10661022482906 21322044965812 26652556207265 53305112414530 106610224829060