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2211108203948 = 22753291130859
BaseRepresentation
bin100000001011010000010…
…100011010110110101100
321211101020221011202121112
4200023100110122312230
5242211322200011243
64411434042251152
7315514215426230
oct40132024326654
97741227152545
102211108203948
117827a8a35026
122b863b7b6ab8
13130678034897
1479037d6a5c0
153c7b1766818
hex202d051adac

2211108203948 has 72 divisors (see below), whose sum is σ = 4512322536960. Its totient is φ = 928687556160.

The previous prime is 2211108203947. The next prime is 2211108203951. The reversal of 2211108203948 is 8493028011122.

It is not an unprimeable number, because it can be changed into a prime (2211108203947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71636543 + ... + 71667401.

Almost surely, 22211108203948 is an apocalyptic number.

2211108203948 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211108203948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256161268480).

2211108203948 is an abundant number, since it is smaller than the sum of its proper divisors (2301214333012).

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

2211108203948 is a wasteful number, since it uses less digits than its factorization.

2211108203948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31887 (or 31832 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The spelling of 2211108203948 in words is "two trillion, two hundred eleven billion, one hundred eight million, two hundred three thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 28 53 106 212 371 742 911 1484 1822 2809 3644 5618 6377 11236 12754 19663 25508 30859 39326 48283 61718 78652 96566 123436 193132 216013 337981 432026 675962 864052 1351924 1635527 2558999 3271054 5117998 6542108 10235996 11448689 17912993 22897378 28112549 35825986 45794756 56225098 71651972 86682931 112450196 173365862 196787843 346731724 393575686 606780517 787151372 1213561034 1489965097 2427122068 2979930194 5959860388 10429755679 20859511358 41719022716 78968150141 157936300282 315872600564 552777050987 1105554101974 2211108203948