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106022414511 = 3313431700831
BaseRepresentation
bin110001010111101101…
…1011010100010101111
3101010122212212200212000
41202233123122202233
53214113214231021
6120412300143343
710442222440206
oct1425733324257
9333585780760
10106022414511
1140a66986282
121866a837b53
139cc8425920
1451bac2623d
152b57cedb26
hex18af6da8af

106022414511 has 32 divisors (see below), whose sum is σ = 169545277440. Its totient is φ = 65093090400.

The previous prime is 106022414507. The next prime is 106022414513. The reversal of 106022414511 is 115414220601.

106022414511 is a `hidden beast` number, since 1 + 0 + 602 + 2 + 4 + 1 + 4 + 51 + 1 = 666.

It is not a de Polignac number, because 106022414511 - 22 = 106022414507 is a prime.

It is a super-2 number, since 2×1060224145112 (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 (106022414513) 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, 199135 + ... + 501696.

It is an arithmetic number, because the mean of its divisors is an integer number (5298289920).

Almost surely, 2106022414511 is an apocalyptic number.

106022414511 is a deficient number, since it is larger than the sum of its proper divisors (63522862929).

106022414511 is a wasteful number, since it uses less digits than its factorization.

106022414511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701284 (or 701278 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 106022414511 in words is "one hundred six billion, twenty-two million, four hundred fourteen thousand, five hundred eleven".

Divisors: 1 3 9 13 27 39 117 351 431 1293 3879 5603 11637 16809 50427 151281 700831 2102493 6307479 9110803 18922437 27332409 81997227 245991681 302058161 906174483 2718523449 3926756093 8155570347 11780268279 35340804837 106022414511