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1210200420100 = 2252710722697121
BaseRepresentation
bin10001100111000101100…
…100001110111100000100
311021200201221121010210111
4101213011210032330010
5124311442301420400
62323543003002404
7153301615562110
oct21470544167404
94250657533714
101210200420100
11427274650751
12176665809404
138a176978749
144280713c740
15217304873ba
hex119c590ef04

1210200420100 has 144 divisors (see below), whose sum is σ = 3031107246720. Its totient is φ = 410809190400.

The previous prime is 1210200420073. The next prime is 1210200420109. The reversal of 1210200420100 is 10240020121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1210200420109) 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, 169944540 + ... + 169951660.

It is an arithmetic number, because the mean of its divisors is an integer number (21049355880).

Almost surely, 21210200420100 is an apocalyptic number.

1210200420100 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 1210200420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515553623360).

1210200420100 is an abundant number, since it is smaller than the sum of its proper divisors (1820906826620).

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

1210200420100 is a wasteful number, since it uses less digits than its factorization.

1210200420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9518 (or 9511 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1210200420100 its reverse (10240020121), we get a palindrome (1220440440221).

The spelling of 1210200420100 in words is "one trillion, two hundred ten billion, two hundred million, four hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 107 140 175 214 350 428 535 700 749 1070 1498 2140 2269 2675 2996 3745 4538 5350 7121 7490 9076 10700 11345 14242 14980 15883 18725 22690 28484 31766 35605 37450 45380 49847 56725 63532 71210 74900 79415 99694 113450 142420 158830 178025 199388 226900 242783 249235 317660 356050 397075 485566 498470 712100 761947 794150 971132 996940 1213915 1246175 1523894 1588300 1699481 2427830 2492350 3047788 3398962 3809735 4855660 4984700 5333629 6069575 6797924 7619470 8497405 10667258 12139150 15238940 16157549 16994810 19048675 21334516 24278300 26668145 32315098 33989620 38097350 42487025 53336290 64630196 76194700 80787745 84974050 106672580 113102843 133340725 161575490 169948100 226205686 266681450 323150980 403938725 452411372 533362900 565514215 807877450 1131028430 1615754900 1728857743 2262056860 2827571075 3457715486 5655142150 6915430972 8644288715 11310284300 12102004201 17288577430 24204008402 34577154860 43221443575 48408016804 60510021005 86442887150 121020042010 172885774300 242040084020 302550105025 605100210050 1210200420100