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100022020011210 = 23511617647759263
BaseRepresentation
bin10110101111100000110000…
…111110001111010011001010
3111010011000022112211222222110
4112233200300332033103022
5101102230044110324320
6552421252012003150
730032231620144533
oct2657406076172312
9433130275758873
10100022020011210
1129963111800550
12b274b301604b6
1343a706118348b
141a9b13d4c168a
15b86c07a525e0
hex5af830f8f4ca

100022020011210 has 128 divisors (see below), whose sum is σ = 262706024300544. Its totient is φ = 24171014658560.

The previous prime is 100022020011187. The next prime is 100022020011211. The reversal of 100022020011210 is 12110020220001.

It is not an unprimeable number, because it can be changed into a prime (100022020011211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131356039 + ... + 132115301.

It is an arithmetic number, because the mean of its divisors is an integer number (2052390814848).

Almost surely, 2100022020011210 is an apocalyptic number.

100022020011210 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 100022020011210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131353012150272).

100022020011210 is an abundant number, since it is smaller than the sum of its proper divisors (162684004289334).

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

100022020011210 is a wasteful number, since it uses less digits than its factorization.

100022020011210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760548.

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

Adding to 100022020011210 its reverse (12110020220001), we get a palindrome (112132040231211).

The spelling of 100022020011210 in words is "one hundred trillion, twenty-two billion, twenty million, eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 617 647 1234 1294 1851 1941 3085 3235 3702 3882 6170 6470 6787 7117 9255 9705 13574 14234 18510 19410 20361 21351 33935 35585 40722 42702 67870 71170 101805 106755 203610 213510 399199 759263 798398 1197597 1518526 1995995 2277789 2395194 3796315 3991990 4391189 4555578 5987985 7592630 8351893 8782378 11388945 11975970 13173567 16703786 21955945 22777890 25055679 26347134 41759465 43911890 50111358 65867835 83518930 125278395 131735670 250556790 468465271 491243161 936930542 982486322 1405395813 1473729483 2342326355 2456215805 2810791626 2947458966 4684652710 4912431610 5153117981 5403674771 7026979065 7368647415 10306235962 10807349542 14053958130 14737294830 15459353943 16211024313 25765589905 27018373855 30918707886 32422048626 51531179810 54036747710 77296769715 81055121565 154593539430 162110243130 303097030337 606194060674 909291091011 1515485151685 1818582182022 3030970303370 3334067333707 4546455455055 6668134667414 9092910910110 10002202001121 16670336668535 20004404002242 33340673337070 50011010005605 100022020011210