Search a number
-
+
21102110988 = 2237372183503
BaseRepresentation
bin10011101001110010…
…001010100100001100
32000110122100022022020
4103221302022210030
5321204120022423
613405535250140
71344633661320
oct235162124414
960418308266
1021102110988
118a49656352
12410b079950
131cb3b1740a
141042813980
158378bc4e3
hex4e9c8a90c

21102110988 has 72 divisors (see below), whose sum is σ = 57834588672. Its totient is φ = 5866191936.

The previous prime is 21102110969. The next prime is 21102111007. The reversal of 21102110988 is 88901120112.

It is an interprime number because it is at equal distance from previous prime (21102110969) and next prime (21102111007).

It is a super-3 number, since 3×211021109883 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23245 + ... + 206747.

It is an arithmetic number, because the mean of its divisors is an integer number (803258176).

Almost surely, 221102110988 is an apocalyptic number.

21102110988 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 21102110988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28917294336).

21102110988 is an abundant number, since it is smaller than the sum of its proper divisors (36732477684).

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

21102110988 is a wasteful number, since it uses less digits than its factorization.

21102110988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183591 (or 183552 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 33.

The spelling of 21102110988 in words is "twenty-one billion, one hundred two million, one hundred ten thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1369 1554 2738 3108 4107 5476 8214 9583 16428 19166 28749 38332 57498 114996 183503 367006 550509 734012 1101018 1284521 2202036 2569042 3853563 5138084 6789611 7707126 13579222 15414252 20368833 27158444 40737666 47527277 81475332 95054554 142581831 190109108 251215607 285163662 502431214 570327324 753646821 1004862428 1507293642 1758509249 3014587284 3517018498 5275527747 7034036996 10551055494 21102110988