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21010111100992 = 2613672291645867
BaseRepresentation
bin1001100011011110011000…
…01101010111100001000000
32202101112202202201002011201
410301233030031113201000
510223212201420212432
6112403524540350544
74265634065511316
oct461571415274100
982345682632151
1021010111100992
116770379a90842
122433a97845454
13b95325299270
14528c754a80b6
152667c4103ee7
hex131bcc357840

21010111100992 has 112 divisors (see below), whose sum is σ = 45768165674560. Its totient is φ = 9510524762112.

The previous prime is 21010111100989. The next prime is 21010111101013. The reversal of 21010111100992 is 29900111101012.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 21010111100992.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11942443 + ... + 13588309.

It is an arithmetic number, because the mean of its divisors is an integer number (408644336380).

Almost surely, 221010111100992 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 21010111100992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22884082837280).

21010111100992 is an abundant number, since it is smaller than the sum of its proper divisors (24758054573568).

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

21010111100992 is a wasteful number, since it uses less digits than its factorization.

21010111100992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646188 (or 1646178 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 28.

The spelling of 21010111100992 in words is "twenty-one trillion, ten billion, one hundred eleven million, one hundred thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 67 104 134 208 229 268 416 458 536 832 871 916 1072 1742 1832 2144 2977 3484 3664 4288 5954 6968 7328 11908 13936 14656 15343 23816 27872 30686 47632 55744 61372 95264 122744 190528 199459 245488 398918 490976 797836 981952 1595672 1645867 3191344 3291734 6382688 6583468 12765376 13166936 21396271 26333872 42792542 52667744 85585084 105335488 110273089 171170168 220546178 342340336 376903543 441092356 684680672 753807086 882184712 1369361344 1433550157 1507614172 1764369424 2867100314 3015228344 3528738848 4899746059 5734200628 6030456688 7057477696 9799492118 11468401256 12060913376 19598984236 22936802512 24121826752 25252537381 39197968472 45873605024 50505074762 78395936944 91747210048 101010149524 156791873888 202020299048 313583747776 328282985953 404040598096 656565971906 808081196192 1313131943812 1616162392384 2626263887624 5252527775248 10505055550496 21010111100992