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106011122334 = 23134389355139
BaseRepresentation
bin110001010111011000…
…0010101101010011110
3101010122002121222220020
41202232300111222132
53214102321403314
6120411214133010
710442024446335
oct1425660255236
9333562558806
10106011122334
1140a605732a7
1218666ab1166
139cc5ca0b70
1451b9526d1c
152b56d1cda9
hex18aec15a9e

106011122334 has 64 divisors (see below), whose sum is σ = 236267539200. Its totient is φ = 31502161152.

The previous prime is 106011122333. The next prime is 106011122389. The reversal of 106011122334 is 433221110601.

It is a happy number.

It is a super-2 number, since 2×1060111223342 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106011122333) 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, 120937 + ... + 476075.

It is an arithmetic number, because the mean of its divisors is an integer number (3691680300).

Almost surely, 2106011122334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106011122334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118133769600).

106011122334 is an abundant number, since it is smaller than the sum of its proper divisors (130256416866).

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

106011122334 is a wasteful number, since it uses less digits than its factorization.

106011122334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355289.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 106011122334 its reverse (433221110601), we get a palindrome (539232232935).

The spelling of 106011122334 in words is "one hundred six billion, eleven million, one hundred twenty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 43 78 86 89 129 178 258 267 534 559 1118 1157 1677 2314 3354 3471 3827 6942 7654 11481 22962 49751 99502 149253 298506 355139 710278 1065417 2130834 4616807 9233614 13850421 15270977 27700842 30541954 31607371 45812931 63214742 91625862 94822113 189644226 198522701 397045402 410895823 595568103 821791646 1191136206 1232687469 1359116953 2465374938 2718233906 4077350859 8154701718 17668520389 35337040778 53005561167 106011122334