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100022151168 = 211325426549
BaseRepresentation
bin101110100100111001…
…0001110100000000000
3100120011201022201221100
41131021302032200000
53114321132314133
6113541033454400
710140433154112
oct1351162164000
9316151281840
10100022151168
1139467995655
1217475271400
139580297044
144babd893b2
152906162e13
hex1749c8e800

100022151168 has 72 divisors (see below), whose sum is σ = 288882389250. Its totient is φ = 33340710912.

The previous prime is 100022151161. The next prime is 100022151199. The reversal of 100022151168 is 861151220001.

It can be written as a sum of positive squares in only one way, i.e., 95971083264 + 4051067904 = 309792^2 + 63648^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (100022151161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2694843 + ... + 2731706.

Almost surely, 2100022151168 is an apocalyptic number.

100022151168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100022151168 is an abundant number, since it is smaller than the sum of its proper divisors (188860238082).

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

100022151168 is an equidigital number, since it uses as much as digits as its factorization.

100022151168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5426577 (or 5426554 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 100022151168 its reverse (861151220001), we get a palindrome (961173371169).

The spelling of 100022151168 in words is "one hundred billion, twenty-two million, one hundred fifty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 5426549 10853098 16279647 21706196 32559294 43412392 48838941 65118588 86824784 97677882 130237176 173649568 195355764 260474352 347299136 390711528 520948704 694598272 781423056 1041897408 1389196544 1562846112 2083794816 2778393088 3125692224 4167589632 5556786176 6251384448 8335179264 11113572352 12502768896 16670358528 25005537792 33340717056 50011075584 100022151168