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21211010212320 = 2532514729868203
BaseRepresentation
bin1001101001010100100101…
…01110101010000111100000
32210002202022202211100112200
410310222102232222013200
510240010122103243240
6113040111545453200
74316305415003205
oct464522256520740
983082282740480
1021211010212320
1168385a2327655
122466a044a1200
13bab260960476
14534892b53cac
1526bb3147b930
hex134a92baa1e0

21211010212320 has 72 divisors (see below), whose sum is σ = 72382572354456. Its totient is φ = 5656269389568.

The previous prime is 21211010212211. The next prime is 21211010212361. The reversal of 21211010212320 is 2321201011212.

21211010212320 is a `hidden beast` number, since 2 + 12 + 110 + 10 + 212 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21211010212293 and 21211010212302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7364932662 + ... + 7364935541.

It is an arithmetic number, because the mean of its divisors is an integer number (1005313504923).

Almost surely, 221211010212320 is an apocalyptic number.

21211010212320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211010212320 is an abundant number, since it is smaller than the sum of its proper divisors (51171562142136).

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

21211010212320 is a wasteful number, since it uses less digits than its factorization.

21211010212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14729868224 (or 14729868213 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21211010212320 its reverse (2321201011212), we get a palindrome (23532211223532).

The spelling of 21211010212320 in words is "twenty-one trillion, two hundred eleven billion, ten million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 14729868203 29459736406 44189604609 58919472812 73649341015 88379209218 117838945624 132568813827 147298682030 176758418436 220948023045 235677891248 265137627654 294597364060 353516836872 441896046090 471355782496 530275255308 589194728120 662844069135 707033673744 883792092180 1060550510616 1178389456240 1325688138270 1414067347488 1767584184360 2121101021232 2356778912480 2651376276540 3535168368720 4242202042464 5302752553080 7070336737440 10605505106160 21211010212320