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100104216000621 = 3733137954769467
BaseRepresentation
bin10110110000101101010100…
…001111000011100001101101
3111010102212110221002220010120
4112300231110033003201231
5101110101413244004441
6552523124133155153
730041201535422610
oct2660552417034155
9433385427086116
10100104216000621
1129994a61247a08
12b288a4b48bab9
1343b1a302442c1
141aa10d9b72177
15b88e18be9966
hex5b0b543c386d

100104216000621 has 64 divisors (see below), whose sum is σ = 153686957383680. Its totient is φ = 56774317279680.

The previous prime is 100104216000599. The next prime is 100104216000623. The reversal of 100104216000621 is 126000612401001.

It is a happy number.

It is not a de Polignac number, because 100104216000621 - 222 = 100104211806317 is a prime.

It is a super-2 number, since 2×1001042160006212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100104216000591 and 100104216000600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100104216000623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1440997930 + ... + 1441067396.

It is an arithmetic number, because the mean of its divisors is an integer number (2401358709120).

Almost surely, 2100104216000621 is an apocalyptic number.

It is an amenable number.

100104216000621 is a deficient number, since it is larger than the sum of its proper divisors (53582741383059).

100104216000621 is a wasteful number, since it uses less digits than its factorization.

100104216000621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70734.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 100104216000621 its reverse (126000612401001), we get a palindrome (226104828401622).

The spelling of 100104216000621 in words is "one hundred trillion, one hundred four billion, two hundred sixteen million, six hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 7 21 331 379 547 993 1137 1641 2317 2653 3829 6951 7959 11487 69467 125449 181057 207313 208401 376347 486269 543171 621939 878143 1267399 1451191 1458807 2634429 3802197 4353573 22993577 26327993 37998449 68620603 68980731 78983979 113995347 160955039 184295951 205861809 265989143 480344221 482865117 552887853 797967429 1441032663 8714565683 12577486619 14401412171 26143697049 37732459857 43204236513 61001959781 88042406333 100809885197 183005879343 264127218999 302429655591 4766867428601 14300602285803 33368072000207 100104216000621