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200210120210120 = 235317313716144363
BaseRepresentation
bin101101100001011100001101…
…000110000111011011001000
3222020212220022111212200110212
4231201130031012013123020
5202220220311233210440
61545451132014500252
760112463263531346
oct5541341506073310
9866786274780425
10200210120210120
115887a6a9434169
121a556090204688
13879396c166c67
143762315bda996
151822dd0c19465
hexb6170d1876c8

200210120210120 has 128 divisors (see below), whose sum is σ = 474814786083840. Its totient is φ = 75881084497920.

The previous prime is 200210120210117. The next prime is 200210120210137. The reversal of 200210120210120 is 21012021012002.

It is a junction number, because it is equal to n+sod(n) for n = 200210120210095 and 200210120210104.

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, 4329059 + ... + 20473421.

It is an arithmetic number, because the mean of its divisors is an integer number (3709490516280).

Almost surely, 2200210120210120 is an apocalyptic number.

200210120210120 is a gapful number since it is divisible by the number (20) 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 200210120210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237407393041920).

200210120210120 is an abundant number, since it is smaller than the sum of its proper divisors (274604665873720).

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

200210120210120 is a wasteful number, since it uses less digits than its factorization.

200210120210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16144615 (or 16144611 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200210120210120 its reverse (21012021012002), we get a palindrome (221222141222122).

The spelling of 200210120210120 in words is "two hundred trillion, two hundred ten billion, one hundred twenty million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 73 124 137 146 155 248 274 292 310 365 548 584 620 685 730 1096 1240 1370 1460 2263 2740 2920 4247 4526 5480 8494 9052 10001 11315 16988 18104 20002 21235 22630 33976 40004 42470 45260 50005 80008 84940 90520 100010 169880 200020 310031 400040 620062 1240124 1550155 2480248 3100310 6200620 12401240 16144363 32288726 64577452 80721815 129154904 161443630 322887260 500475253 645774520 1000950506 1178538499 2001901012 2211777731 2357076998 2502376265 4003802024 4423555462 4714153996 5004752530 5892692495 8847110924 9428307992 10009505060 11058888655 11785384990 17694221848 20019010120 22117777310 23570769980 36534693469 44235554620 47141539960 68565109661 73069386938 88471109240 137130219322 146138773876 161459774363 182673467345 274260438644 292277547752 322919548726 342825548305 365346934690 548520877288 645839097452 685651096610 730693869380 807298871815 1291678194904 1371302193220 1461387738760 1614597743630 2742604386440 3229195487260 5005253005253 6458390974520 10010506010506 20021012021012 25026265026265 40042024042024 50052530052530 100105060105060 200210120210120