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1122012020010 = 235731069102001
BaseRepresentation
bin10000010100111101001…
…000001011110100101010
310222021002221120020120010
4100110331020023310222
5121340340034120020
62215240055312350
7144030334545000
oct20247510136452
93867087506503
101122012020010
113a292a597472
1216155367b6b6
1381a6127839b
143c43ca96a70
151e2bd1a5de0
hex1053d20bd2a

1122012020010 has 128 divisors (see below), whose sum is σ = 3143293632000. Its totient is φ = 256217472000.

The previous prime is 1122012019991. The next prime is 1122012020021. The reversal of 1122012020010 is 100202102211.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10949010 + ... + 11051010.

It is an arithmetic number, because the mean of its divisors is an integer number (24556981500).

Almost surely, 21122012020010 is an apocalyptic number.

1122012020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122012020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571646816000).

1122012020010 is an abundant number, since it is smaller than the sum of its proper divisors (2021281611990).

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

1122012020010 is a wasteful number, since it uses less digits than its factorization.

1122012020010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103101 (or 103087 counting only the distinct ones).

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

Adding to 1122012020010 its reverse (100202102211), we get a palindrome (1222214122221).

The spelling of 1122012020010 in words is "one trillion, one hundred twenty-two billion, twelve million, twenty thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 343 490 686 735 1029 1069 1470 1715 2058 2138 3207 3430 5145 5345 6414 7483 10290 10690 14966 16035 22449 32070 37415 44898 52381 74830 102001 104762 112245 157143 204002 224490 261905 306003 314286 366667 510005 523810 612006 714007 733334 785715 1020010 1100001 1428014 1530015 1571430 1833335 2142021 2200002 3060030 3570035 3666670 4284042 4998049 5500005 7140070 9996098 10710105 11000010 14994147 21420210 24990245 29988294 34986343 49980490 69972686 74970735 104959029 109039069 149941470 174931715 209918058 218078138 327117207 349863430 524795145 545195345 654234414 763273483 1049590290 1090390690 1526546966 1635586035 2289820449 3271172070 3816367415 4579640898 5342914381 7632734830 10685828762 11449102245 16028743143 22898204490 26714571905 32057486286 37400400667 53429143810 74800801334 80143715715 112201202001 160287431430 187002003335 224402404002 374004006670 561006010005 1122012020010