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10011202120122 = 2376738940122807
BaseRepresentation
bin1001000110101110101000…
…1001010110100110111010
31022110001122212222220202020
42101223222021112212322
52303010420220320442
633143025513215310
72052166630654530
oct221535211264672
938401585886666
1010011202120122
11320a7aa672735
1211582a3401536
1357808ac00178
1426878abb4150
151256336099ec
hex91aea2569ba

10011202120122 has 128 divisors (see below), whose sum is σ = 23343072030720. Its totient is φ = 2803277030400.

The previous prime is 10011202120121. The next prime is 10011202120169. The reversal of 10011202120122 is 22102120211001.

10011202120122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10011202120121) 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, 438941643 + ... + 438964449.

It is an arithmetic number, because the mean of its divisors is an integer number (182367750240).

Almost surely, 210011202120122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011202120122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11671536015360).

10011202120122 is an abundant number, since it is smaller than the sum of its proper divisors (13331869910598).

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

10011202120122 is a wasteful number, since it uses less digits than its factorization.

10011202120122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23676.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10011202120122 its reverse (22102120211001), we get a palindrome (32113322331123).

The spelling of 10011202120122 in words is "ten trillion, eleven billion, two hundred two million, one hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 67 134 201 389 401 402 469 778 802 938 1167 1203 1407 2334 2406 2723 2807 2814 5446 5614 8169 8421 16338 16842 22807 26063 26867 45614 52126 53734 68421 78189 80601 136842 155989 156378 159649 161202 182441 188069 311978 319298 364882 376138 467967 478947 547323 564207 935934 957894 1091923 1094646 1128414 1528069 2183846 3056138 3275769 4584207 6551538 8871923 9145607 9168414 10451263 10696483 17743846 18291214 20902526 21392966 26615769 27436821 31353789 32089449 53231538 54873642 62103461 62707578 64019249 64178898 73158841 124206922 128038498 146317682 186310383 192057747 219476523 372620766 384115494 438953046 594418841 612755669 1188837682 1225511338 1783256523 1838267007 3557641123 3566513046 3676534014 4160931887 4289289683 7115282246 8321863774 8578579366 10672923369 12482795661 12867869049 21345846738 24903487861 24965591322 25735738098 49806975722 74710463583 149420927166 238361955241 476723910482 715085865723 1430171731446 1668533686687 3337067373374 5005601060061 10011202120122