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2021101110112 = 257292053151549
BaseRepresentation
bin11101011010010011000…
…000111000001101100000
321011012211000022022022211
4131122103000320031200
5231103203341010422
64144251523011504
7266006524660360
oct35322300701540
97135730268284
102021101110112
1170a164983167
12287852809b94
131187870bb046
146db710c29a0
153789074d577
hex1d693038360

2021101110112 has 96 divisors (see below), whose sum is σ = 4706609544000. Its totient is φ = 835904821248.

The previous prime is 2021101110101. The next prime is 2021101110211. The reversal of 2021101110112 is 2110111011202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2021101110092 and 2021101110101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13260514 + ... + 13412062.

It is an arithmetic number, because the mean of its divisors is an integer number (49027182750).

Almost surely, 22021101110112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021101110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353304772000).

2021101110112 is an abundant number, since it is smaller than the sum of its proper divisors (2685508433888).

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

2021101110112 is a wasteful number, since it uses less digits than its factorization.

2021101110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153648 (or 153640 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2021101110112 its reverse (2110111011202), we get a palindrome (4131212121314).

The spelling of 2021101110112 in words is "two trillion, twenty-one billion, one hundred one million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 2053 3248 4106 6496 8212 14371 16424 28742 32848 57484 59537 65696 114968 119074 151549 229936 238148 303098 416759 459872 476296 606196 833518 952592 1060843 1212392 1667036 1905184 2121686 2424784 3334072 4243372 4394921 4849568 6668144 8486744 8789842 13336288 16973488 17579684 30764447 33946976 35159368 61528894 70318736 123057788 140637472 246115576 311130097 492231152 622260194 984462304 1244520388 2177910679 2489040776 4355821358 4978081552 8711642716 9022772813 9956163104 17423285432 18045545626 34846570864 36091091252 63159409691 69693141728 72182182504 126318819382 144364365008 252637638764 288728730016 505275277528 1010550555056 2021101110112