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1120210001001 = 3271329371274723
BaseRepresentation
bin10000010011010001101…
…110000001110001101001
310222002110100202012012100
4100103101232001301221
5121323142230013001
62214341204004013
7143634563621160
oct20232156016151
93862410665170
101120210001001
113a2095383963
12161130090609
1381834b2c350
143c30b6163d7
151e214d9e586
hex104d1b81c69

1120210001001 has 96 divisors (see below), whose sum is σ = 2115837884160. Its totient is φ = 555085343232.

The previous prime is 1120210000993. The next prime is 1120210001021. The reversal of 1120210001001 is 1001000120211.

It is a happy number.

It is not a de Polignac number, because 1120210001001 - 23 = 1120210000993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1120210001021) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 241426 + ... + 1516148.

It is an arithmetic number, because the mean of its divisors is an integer number (22039977960).

Almost surely, 21120210001001 is an apocalyptic number.

It is an amenable number.

1120210001001 is a deficient number, since it is larger than the sum of its proper divisors (995627883159).

1120210001001 is a wasteful number, since it uses less digits than its factorization.

1120210001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274815 (or 1274812 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1120210001001 its reverse (1001000120211), we get a palindrome (2121210121212).

The spelling of 1120210001001 in words is "one trillion, one hundred twenty billion, two hundred ten million, one thousand, one".

Divisors: 1 3 7 9 13 21 29 37 39 63 87 91 111 117 203 259 261 273 333 377 481 609 777 819 1073 1131 1443 1827 2331 2639 3219 3367 3393 4329 7511 7917 9657 10101 13949 22533 23751 30303 41847 67599 97643 125541 292929 878787 1274723 3824169 8923061 11472507 16571399 26769183 36966967 47164751 49714197 80307549 110900901 115999793 141494253 149142591 258768769 330153257 332702703 347999379 424482759 480570571 613141763 776306307 990459771 1043998137 1367777779 1441711713 1839425289 2328918921 2971379313 3363993997 4103333337 4291992341 4325135139 5518275867 9574444453 10091981991 12310000011 12875977023 17781111127 28723333359 30275945973 38627931069 53343333381 86170000077 124467777889 160030000143 373403333667 1120210001001