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106072011222168 = 23324118338867777
BaseRepresentation
bin11000000111100011010000…
…100011001010110010011000
3111220120101101211200012012110
4120013203100203022302120
5102400340434333102133
61013332450444112320
731225310215014525
oct3007432043126230
9456511354605173
10106072011222168
1130885984052682
12ba91571b356a0
1347257174c6674
141c29cac79414c
15c3e29a6e5c63
hex6078d08cac98

106072011222168 has 32 divisors (see below), whose sum is σ = 266280360136560. Its totient is φ = 35210626129920.

The previous prime is 106072011222161. The next prime is 106072011222197. The reversal of 106072011222168 is 861222110270601.

It is a super-2 number, since 2×1060720112221682 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106072011222161) 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 7 ways as a sum of consecutive naturals, for example, 9169428105 + ... + 9169439672.

Almost surely, 2106072011222168 is an apocalyptic number.

It is an amenable number.

106072011222168 is an abundant number, since it is smaller than the sum of its proper divisors (160208348914392).

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

106072011222168 is a wasteful number, since it uses less digits than its factorization.

106072011222168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18338868027 (or 18338868023 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

Adding to 106072011222168 its reverse (861222110270601), we get a palindrome (967294121492769).

The spelling of 106072011222168 in words is "one hundred six trillion, seventy-two billion, eleven million, two hundred twenty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 241 482 723 964 1446 1928 2892 5784 18338867777 36677735554 55016603331 73355471108 110033206662 146710942216 220066413324 440132826648 4419667134257 8839334268514 13259001402771 17678668537028 26518002805542 35357337074056 53036005611084 106072011222168