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200100020211120 = 24357938671050239
BaseRepresentation
bin101101011111110101101010…
…100111111100110110110000
3222020111101010110022020021010
4231133311222213330312300
5202211414320133223440
61545324402533430520
760101515016141541
oct5537655247746660
9866441113266233
10200100020211120
1158837a3a8a3357
121a538883a9b440
138786474026b63
14375ac6d6264c8
1518200d9e6c580
hexb5fd6a9fcdb0

200100020211120 has 80 divisors (see below), whose sum is σ = 620311434670080. Its totient is φ = 53359887366912.

The previous prime is 200100020211107. The next prime is 200100020211187. The reversal of 200100020211120 is 21112020001002.

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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 200100020211096 and 200100020211105.

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, 190002961 + ... + 191053199.

It is an arithmetic number, because the mean of its divisors is an integer number (7753892933376).

Almost surely, 2200100020211120 is an apocalyptic number.

200100020211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200100020211120 is an abundant number, since it is smaller than the sum of its proper divisors (420211414458960).

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

200100020211120 is a wasteful number, since it uses less digits than its factorization.

200100020211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844122 (or 1844116 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200100020211120 its reverse (21112020001002), we get a palindrome (221212040212122).

The spelling of 200100020211120 in words is "two hundred trillion, one hundred billion, twenty million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 793867 1050239 1587734 2100478 2381601 3150717 3175468 3969335 4200956 4763202 5251195 6301434 6350936 7938670 8401912 9526404 10502390 11908005 12602868 12701872 15753585 15877340 16803824 19052808 21004780 23816010 25205736 31507170 31754680 38105616 42009560 47632020 50411472 63014340 63509360 84019120 95264040 126028680 190528080 252057360 833750084213 1667500168426 2501250252639 3335000336852 4168750421065 5002500505278 6670000673704 8337500842130 10005001010556 12506251263195 13340001347408 16675001684260 20010002021112 25012502526390 33350003368520 40020004042224 50025005052780 66700006737040 100050010105560 200100020211120