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10101220096 = 281110932909
BaseRepresentation
bin10010110100001010…
…00110001100000000
3222001222020010222211
421122011012030000
5131141403020341
64350200111504
7505213645162
oct113205061400
928058203884
1010101220096
11431396a190
121b5aa65594
13c4c96a416
146bb790932
153e1c04181
hex25a146300

10101220096 has 72 divisors (see below), whose sum is σ = 22198453200. Its totient is φ = 4549201920.

The previous prime is 10101220069. The next prime is 10101220099. The reversal of 10101220096 is 69002210101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (10101220099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 290490 + ... + 323398.

It is an arithmetic number, because the mean of its divisors is an integer number (308311850).

Almost surely, 210101220096 is an apocalyptic number.

10101220096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11099226600).

10101220096 is an abundant number, since it is smaller than the sum of its proper divisors (12097233104).

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

10101220096 is a wasteful number, since it uses less digits than its factorization.

10101220096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33045 (or 33031 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 10101220096 its reverse (69002210101), we get a palindrome (79103430197).

The spelling of 10101220096 in words is "ten billion, one hundred one million, two hundred twenty thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 109 128 176 218 256 352 436 704 872 1199 1408 1744 2398 2816 3488 4796 6976 9592 13952 19184 27904 32909 38368 65818 76736 131636 153472 263272 306944 361999 526544 723998 1053088 1447996 2106176 2895992 3587081 4212352 5791984 7174162 8424704 11583968 14348324 23167936 28696648 39457891 46335872 57393296 78915782 92671744 114786592 157831564 229573184 315663128 459146368 631326256 918292736 1262652512 2525305024 5050610048 10101220096