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11000212242320 = 245724481802387
BaseRepresentation
bin1010000000010010111110…
…1111100011111110010000
31102221121110201000201001002
42200010233233203332100
52420211413313223240
635221232220401132
72213511341206520
oct240045757437620
942847421021032
1011000212242320
113561189043794
121297ab89a61a8
1361a4143a6722
142a05ad823680
1514121a130d15
hexa012fbe3f90

11000212242320 has 80 divisors (see below), whose sum is σ = 29230365767808. Its totient is φ = 3771342581760.

The previous prime is 11000212242281. The next prime is 11000212242343. The reversal of 11000212242320 is 2324221200011.

11000212242320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11000212242292 and 11000212242301.

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, 13308167 + ... + 14110553.

Almost surely, 211000212242320 is an apocalyptic number.

11000212242320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000212242320 is an abundant number, since it is smaller than the sum of its proper divisors (18230153525488).

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

11000212242320 is a wasteful number, since it uses less digits than its factorization.

11000212242320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826888 (or 826882 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11000212242320 its reverse (2324221200011), we get a palindrome (13324433442331).

The spelling of 11000212242320 in words is "eleven trillion, two hundred twelve million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 24481 48962 97924 122405 171367 195848 244810 342734 391696 489620 685468 802387 856835 979240 1370936 1604774 1713670 1958480 2741872 3209548 3427340 4011935 5616709 6419096 6854680 8023870 11233418 12838192 13709360 16047740 22466836 28083545 32095480 44933672 56167090 64190960 89867344 112334180 224668360 449336720 19643236147 39286472294 78572944588 98216180735 137502653029 157145889176 196432361470 275005306058 314291778352 392864722940 550010612116 687513265145 785729445880 1100021224232 1375026530290 1571458891760 2200042448464 2750053060580 5500106121160 11000212242320