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10011120210100 = 2252714313271501
BaseRepresentation
bin1001000110101110010101…
…0000111001000010110100
31022110001110011212110022201
42101223211100321002310
52303010233233210400
633143013425434244
72052164614515022
oct221534520710264
938401404773281
1010011120210100
11320a7684074a9
12115827ba9b984
13578076c515b9
1426877dd71712
1512562b32a06a
hex91ae54390b4

10011120210100 has 72 divisors (see below), whose sum is σ = 22081225211136. Its totient is φ = 3938886000000.

The previous prime is 10011120210073. The next prime is 10011120210103. The reversal of 10011120210100 is 101202111001.

It is a super-2 number, since 2×100111202101002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011120210103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1424350 + ... + 4695850.

It is an arithmetic number, because the mean of its divisors is an integer number (306683683488).

Almost surely, 210011120210100 is an apocalyptic number.

10011120210100 is a gapful number since it is divisible by the number (10) 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 10011120210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11040612605568).

10011120210100 is an abundant number, since it is smaller than the sum of its proper divisors (12070105001036).

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

10011120210100 is a wasteful number, since it uses less digits than its factorization.

10011120210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272017 (or 3272010 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10011120210100 its reverse (101202111001), we get a palindrome (10112322321101).

The spelling of 10011120210100 in words is "ten trillion, eleven billion, one hundred twenty million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 431 710 862 1420 1724 1775 2155 3550 4310 7100 8620 10775 21550 30601 43100 61202 122404 153005 306010 612020 765025 1530050 3060100 3271501 6543002 13086004 16357505 32715010 65430020 81787525 163575050 232276571 327150100 464553142 929106284 1161382855 1410016931 2322765710 2820033862 4645531420 5640067724 5806914275 7050084655 11613828550 14100169310 23227657100 28200338620 35250423275 70500846550 100111202101 141001693100 200222404202 400444808404 500556010505 1001112021010 2002224042020 2502780052525 5005560105050 10011120210100