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11100002000020 = 225191511601120829
BaseRepresentation
bin1010000110000110101110…
…1011010001110010010100
31110022011001020001122001221
42201201223223101302110
52423330301003000040
635335134233300124
72223643253151643
oct241415353216224
943264036048057
1011100002000020
11359a53683071a
1212b3308264644
13626958483c2b
142a535899735a
15143b0ab8b74a
hexa186bad1c94

11100002000020 has 96 divisors (see below), whose sum is σ = 24714974188800. Its totient is φ = 4175815680000.

The previous prime is 11100002000011. The next prime is 11100002000051. The reversal of 11100002000020 is 2000020000111.

It is a junction number, because it is equal to n+sod(n) for n = 11100001999967 and 11100002000012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91804966 + ... + 91925794.

It is an arithmetic number, because the mean of its divisors is an integer number (257447647800).

Almost surely, 211100002000020 is an apocalyptic number.

11100002000020 is a gapful number since it is divisible by the number (10) 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 11100002000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12357487094400).

11100002000020 is an abundant number, since it is smaller than the sum of its proper divisors (13614972188780).

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

11100002000020 is a wasteful number, since it uses less digits than its factorization.

11100002000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122609 (or 122607 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 11100002000020 its reverse (2000020000111), we get a palindrome (13100022000131).

The spelling of 11100002000020 in words is "eleven trillion, one hundred billion, two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 19 20 38 76 95 151 190 302 380 604 755 1510 1601 2869 3020 3202 5738 6404 8005 11476 14345 16010 28690 30419 32020 57380 60838 120829 121676 152095 241658 241751 304190 483316 483502 604145 608380 967004 1208290 1208755 2295751 2416580 2417510 4591502 4593269 4835020 9183004 9186538 11478755 18245179 18373076 22957510 22966345 36490358 45915020 45932690 72980716 91225895 91865380 182451790 193447229 346658401 364903580 386894458 693316802 773788916 967236145 1386633604 1733292005 1934472290 3466584010 3675497351 3868944580 6933168020 7350994702 14701989404 18377486755 29210531579 36754973510 58421063158 73509947020 116842126316 146052657895 292105315790 555000100001 584210631580 1110000200002 2220000400004 2775000500005 5550001000010 11100002000020