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1022110022010 = 2357111231359441
BaseRepresentation
bin11101101111110101000…
…00010011100101111010
310121201020121022220210010
432313322200103211322
5113221240131201020
62101314553002350
7133562560560420
oct16677240234572
93551217286703
101022110022010
11364524508760
121461126b33b6
13754ccb5cbbc
1437682a67110
151b8c2878de0
hexedfa81397a

1022110022010 has 128 divisors (see below), whose sum is σ = 3060858544128. Its totient is φ = 212213376000.

The previous prime is 1022110021991. The next prime is 1022110022027. The reversal of 1022110022010 is 102200112201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2663890 + ... + 3023330.

It is an arithmetic number, because the mean of its divisors is an integer number (23912957376).

Almost surely, 21022110022010 is an apocalyptic number.

1022110022010 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 1022110022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530429272064).

1022110022010 is an abundant number, since it is smaller than the sum of its proper divisors (2038748522118).

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

1022110022010 is a wasteful number, since it uses less digits than its factorization.

1022110022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360700.

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

Adding to 1022110022010 its reverse (102200112201), we get a palindrome (1124310134211).

The spelling of 1022110022010 in words is "one trillion, twenty-two billion, one hundred ten million, twenty-two thousand, ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 1231 2310 2462 3693 6155 7386 8617 12310 13541 17234 18465 25851 27082 36930 40623 43085 51702 67705 81246 86170 94787 129255 135410 189574 203115 258510 284361 359441 406230 473935 568722 718882 947870 1078323 1421805 1797205 2156646 2516087 2843610 3594410 3953851 5032174 5391615 7548261 7907702 10783230 11861553 12580435 15096522 19769255 23723106 25160870 27676957 37741305 39538510 55353914 59307765 75482610 83030871 118615530 138384785 166061742 276769570 415154355 442471871 830308710 884943742 1327415613 2212359355 2654831226 3097303097 4424718710 4867190581 6194606194 6637078065 9291909291 9734381162 13274156130 14601571743 15486515485 18583818582 24335952905 29203143486 30973030970 34070334067 46459546455 48671905810 68140668134 73007858715 92919092910 102211002201 146015717430 170351670335 204422004402 340703340670 511055011005 1022110022010