Search a number
-
+
106020622653 = 3113139918979
BaseRepresentation
bin110001010111101010…
…0100101000100111101
3101010122202111122212220
41202233110211010331
53214112234411103
6120412153515553
710442201265141
oct1425724450475
9333582448786
10106020622653
1140a65972000
121866a112bb9
139cc7c4915a
1451ba8bb221
152b57a97c53
hex18af52513d

106020622653 has 32 divisors (see below), whose sum is σ = 155605632000. Its totient is φ = 64205610480.

The previous prime is 106020622613. The next prime is 106020622661. The reversal of 106020622653 is 356226020601.

It is not a de Polignac number, because 106020622653 - 214 = 106020606269 is a prime.

It is a super-2 number, since 2×1060206226532 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106020622613) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5576718 + ... + 5595696.

It is an arithmetic number, because the mean of its divisors is an integer number (4862676000).

Almost surely, 2106020622653 is an apocalyptic number.

It is an amenable number.

106020622653 is a deficient number, since it is larger than the sum of its proper divisors (49585009347).

106020622653 is a wasteful number, since it uses less digits than its factorization.

106020622653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20414 (or 20392 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 106020622653 in words is "one hundred six billion, twenty million, six hundred twenty-two thousand, six hundred fifty-three".

Divisors: 1 3 11 33 121 363 1331 1399 3993 4197 15389 18979 46167 56937 169279 208769 507837 626307 1862069 2296459 5586207 6889377 25261049 26551621 75783147 79654863 292067831 876203493 3212746141 9638238423 35340207551 106020622653