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200221011020112 = 24359318122225561
BaseRepresentation
bin101101100001100110010110…
…001111010000100101010000
3222020220221102111212011011220
4231201212112033100211100
5202220410112310120422
61545500132422405040
760113330206065105
oct5541462617204520
9866827374764156
10200221011020112
1158884287a73985
121a55820b590780
1387949b6580b24
143762a6a3a6aac
15182331bddae5c
hexb619963d0950

200221011020112 has 80 divisors (see below), whose sum is σ = 526169732832960. Its totient is φ = 65588516582400.

The previous prime is 200221011020111. The next prime is 200221011020143. The reversal of 200221011020112 is 211020110122002.

It is a junction number, because it is equal to n+sod(n) for n = 200221011020091 and 200221011020100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200221011020111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2104189 + ... + 20121372.

It is an arithmetic number, because the mean of its divisors is an integer number (6577121660412).

Almost surely, 2200221011020112 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 200221011020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263084866416480).

200221011020112 is an abundant number, since it is smaller than the sum of its proper divisors (325948721812848).

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

200221011020112 is a wasteful number, since it uses less digits than its factorization.

200221011020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22228812 (or 22228806 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 200221011020112 its reverse (211020110122002), we get a palindrome (411241121142114).

The spelling of 200221011020112 in words is "two hundred trillion, two hundred twenty-one billion, eleven million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1416 2832 3181 6362 9543 12724 19086 25448 38172 50896 76344 152688 187679 375358 563037 750716 1126074 1501432 2252148 3002864 4504296 9008592 22225561 44451122 66676683 88902244 133353366 177804488 266706732 355608976 533413464 1066826928 1311308099 2622616198 3933924297 5245232396 7867848594 10490464792 15735697188 20980929584 31471394376 62942788752 70699509541 141399019082 212098528623 282798038164 424197057246 565596076328 848394114492 1131192152656 1696788228984 3393576457968 4171271062919 8342542125838 12513813188757 16685084251676 25027626377514 33370168503352 50055252755028 66740337006704 100110505510056 200221011020112