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1120021022010 = 2351117829240829
BaseRepresentation
bin10000010011000110011…
…101001000010100111010
310222001222012011001202110
4100103012131020110322
5121322300340201020
62214310333313150
7143630110415052
oct20230635102472
93861865131673
101120021022010
113a1aa8739180
121610989357b6
1381804933567
143c2d04a2562
151e2034c08e0
hex104c674853a

1120021022010 has 128 divisors (see below), whose sum is σ = 3108672172800. Its totient is φ = 255239147520.

The previous prime is 1120021021981. The next prime is 1120021022033. The reversal of 1120021022010 is 102201200211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4530276 + ... + 4771104.

It is an arithmetic number, because the mean of its divisors is an integer number (24286501350).

Almost surely, 21120021022010 is an apocalyptic number.

1120021022010 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 1120021022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554336086400).

1120021022010 is an abundant number, since it is smaller than the sum of its proper divisors (1988651150790).

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

1120021022010 is a wasteful number, since it uses less digits than its factorization.

1120021022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241696.

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

Adding to 1120021022010 its reverse (102201200211), we get a palindrome (1222222222221).

The spelling of 1120021022010 in words is "one trillion, one hundred twenty billion, twenty-one million, twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 829 935 1122 1658 1870 2487 2805 4145 4974 5610 8290 9119 12435 14093 18238 24870 27357 28186 42279 45595 54714 70465 84558 91190 136785 140930 155023 211395 240829 273570 310046 422790 465069 481658 722487 775115 930138 1204145 1444974 1550230 2325345 2408290 2649119 3612435 4094093 4650690 5298238 7224870 7947357 8188186 12282279 13245595 15894714 20470465 24564558 26491190 39736785 40940930 45035023 61411395 79473570 90070046 122822790 135105069 199647241 225175115 270210138 399294482 450350230 598941723 675525345 998236205 1197883446 1351050690 1996472410 2196119651 2994708615 3394003097 4392239302 5989417230 6588358953 6788006194 10182009291 10980598255 13176717906 16970015485 20364018582 21961196510 32941794765 33940030970 37334034067 50910046455 65883589530 74668068134 101820092910 112002102201 186670170335 224004204402 373340340670 560010511005 1120021022010