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10111220010112 = 271327072244719
BaseRepresentation
bin1001001100100011001110…
…1011010100110010000000
31022210121211022022011110011
42103020303223110302000
52311130234310310422
633301010315514304
72062340313003454
oct223106353246200
938717738264404
1010111220010112
113249165107851
121173757158994
1358463a3347b0
1426d558370664
151280391ca077
hex93233ad4c80

10111220010112 has 64 divisors (see below), whose sum is σ = 21700965283200. Its totient is φ = 4664990905344.

The previous prime is 10111220010097. The next prime is 10111220010121. The reversal of 10111220010112 is 21101002211101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 10111220010092 and 10111220010101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3382089 + ... + 5626807.

It is an arithmetic number, because the mean of its divisors is an integer number (339077582550).

Almost surely, 210111220010112 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 10111220010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10850482641600).

10111220010112 is an abundant number, since it is smaller than the sum of its proper divisors (11589745273088).

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

10111220010112 is a wasteful number, since it uses less digits than its factorization.

10111220010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247453 (or 2247441 counting only the distinct ones).

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

Adding to 10111220010112 its reverse (21101002211101), we get a palindrome (31212222221213).

The spelling of 10111220010112 in words is "ten trillion, one hundred eleven billion, two hundred twenty million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 2707 5414 10828 21656 35191 43312 70382 86624 140764 173248 281528 346496 563056 1126112 2244719 2252224 4489438 4504448 8978876 17957752 29181347 35915504 58362694 71831008 116725388 143662016 233450776 287324032 466901552 933803104 1867606208 3735212416 6076454333 12152908666 24305817332 48611634664 78993906329 97223269328 157987812658 194446538656 315975625316 388893077312 631951250632 777786154624 1263902501264 2527805002528 5055610005056 10111220010112