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200210122099980 = 223256122780326313
BaseRepresentation
bin101101100001011100001101…
…001101010100110100001100
3222020212220022122102200212200
4231201130031031110310030
5202220220312224144410
61545451132123201500
760112463315562216
oct5541341515246414
9866786278380780
10200210122099980
115887a6aa505033
121a556090976290
13879396c679215
14376231616d5b6
151822dd0e8e3c0
hexb6170d354d0c

200210122099980 has 144 divisors (see below), whose sum is σ = 619979054988384. Its totient is φ = 52282789954560.

The previous prime is 200210122099979. The next prime is 200210122099987. The reversal of 200210122099980 is 89990221012002.

200210122099980 is a `hidden beast` number, since 200 + 210 + 1 + 220 + 9 + 9 + 9 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (200210122099987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37670697 + ... + 42655616.

It is an arithmetic number, because the mean of its divisors is an integer number (4305410104086).

Almost surely, 2200210122099980 is an apocalyptic number.

200210122099980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200210122099980 is an abundant number, since it is smaller than the sum of its proper divisors (419768932888404).

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

200210122099980 is a wasteful number, since it uses less digits than its factorization.

200210122099980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80326616 (or 80326611 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 200210122099980 in words is "two hundred trillion, two hundred ten billion, one hundred twenty-two million, ninety-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 227 244 305 366 454 549 610 681 732 908 915 1098 1135 1220 1362 1830 2043 2196 2270 2724 2745 3405 3660 4086 4540 5490 6810 8172 10215 10980 13620 13847 20430 27694 40860 41541 55388 69235 83082 124623 138470 166164 207705 249246 276940 415410 498492 623115 830820 1246230 2492460 80326313 160652626 240978939 321305252 401631565 481957878 722936817 803263130 963915756 1204894695 1445873634 1606526260 2409789390 2891747268 3614684085 4819578780 4899905093 7229368170 9799810186 14458736340 14699715279 18234073051 19599620372 24499525465 29399430558 36468146102 44099145837 48999050930 54702219153 58798861116 72936292204 73498576395 88198291674 91170365255 97998101860 109404438306 146997152790 164106657459 176396583348 182340730510 218808876612 220495729185 273511095765 293994305580 328213314918 364681461020 440991458370 547022191530 656426629836 820533287295 881982916740 1094044383060 1112278456111 1641066574590 2224556912222 3282133149180 3336835368333 4449113824444 5561392280555 6673670736666 10010506104999 11122784561110 13347341473332 16684176841665 20021012209998 22245569122220 33368353683330 40042024419996 50052530524995 66736707366660 100105061049990 200210122099980