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21111010984 = 2372943130161
BaseRepresentation
bin10011101010010100…
…000111011010101000
32000111021002110210201
4103222110013122220
5321213404322414
613410454121544
71345102426660
oct235224073250
960437073721
1021111010984
118a53685018
1241120502b4
131cb591239b
141043a8d1a0
15838579574
hex4ea5076a8

21111010984 has 64 divisors (see below), whose sum is σ = 46907942400. Its totient is φ = 8715033600.

The previous prime is 21111010981. The next prime is 21111011021. The reversal of 21111010984 is 48901011112.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (21111010981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 684864 + ... + 715024.

It is an arithmetic number, because the mean of its divisors is an integer number (732936600).

Almost surely, 221111010984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21111010984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23453971200).

21111010984 is an abundant number, since it is smaller than the sum of its proper divisors (25796931416).

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

21111010984 is a wasteful number, since it uses less digits than its factorization.

21111010984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30634 (or 30630 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 28.

The spelling of 21111010984 in words is "twenty-one billion, one hundred eleven million, ten thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 431 812 862 1624 1724 3017 3448 6034 12068 12499 24136 24998 30161 49996 60322 87493 99992 120644 174986 211127 241288 349972 422254 699944 844508 874669 1689016 1749338 3498676 6122683 6997352 12245366 12999391 24490732 25998782 48981464 51997564 90995737 103995128 181991474 363982948 376982339 727965896 753964678 1507929356 2638876373 3015858712 5277752746 10555505492 21111010984