Search a number
-
+
101220611229 = 3319436537027
BaseRepresentation
bin101111001000100110…
…1111111010010011101
3100200021020102211002000
41132101031333102131
53124244434024404
6114300004552513
710212224666553
oct1362115772235
9320236384060
10101220611229
1139a2243a411
121774a6b2739
13971166c5ca
144c831d7bd3
152976497339
hex179137f49d

101220611229 has 64 divisors (see below), whose sum is σ = 161790182400. Its totient is φ = 62337594816.

The previous prime is 101220611201. The next prime is 101220611231. The reversal of 101220611229 is 922116022101.

101220611229 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 20 + 611 + 2 + 29 = 666.

It is not a de Polignac number, because 101220611229 - 29 = 101220610717 is a prime.

It is a super-2 number, since 2×1012206112292 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220618229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14401014 + ... + 14408040.

It is an arithmetic number, because the mean of its divisors is an integer number (2527971600).

Almost surely, 2101220611229 is an apocalyptic number.

101220611229 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

101220611229 is a deficient number, since it is larger than the sum of its proper divisors (60569571171).

101220611229 is a wasteful number, since it uses less digits than its factorization.

101220611229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7751 (or 7745 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 101220611229 in words is "one hundred one billion, two hundred twenty million, six hundred eleven thousand, two hundred twenty-nine".

Divisors: 1 3 9 19 27 43 57 129 171 387 513 653 817 1161 1959 2451 5877 7027 7353 12407 17631 21081 22059 28079 37221 63243 84237 111663 133513 189729 252711 302161 334989 400539 533501 758133 906483 1201617 1600503 2719449 3604851 4588631 4801509 5741059 8158347 13765893 14404527 17223177 41297679 51669531 87183989 123893037 155008593 197311133 261551967 591933399 784655901 1775800197 2353967703 3748911527 5327400591 11246734581 33740203743 101220611229