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1011120222032 = 242319115439323
BaseRepresentation
bin11101011011010110111…
…01100010111101010000
310120122212201002020100022
432231223131202331100
5113031233234101112
62052300251243012
7133023334036304
oct16555335427520
93518781066308
101011120222032
1135a8a5007338
12143b66149468
137446b09718b
1436d1d28dd04
151b47cb51d72
hexeb6b762f50

1011120222032 has 80 divisors (see below), whose sum is σ = 2056476377088. Its totient is φ = 480684082560.

The previous prime is 1011120222031. The next prime is 1011120222083. The reversal of 1011120222032 is 2302220211101.

It is a self number, because there is not a number n which added to its sum of digits gives 1011120222032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011120222031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108449723 + ... + 108459045.

Almost surely, 21011120222032 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 1011120222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028238188544).

1011120222032 is an abundant number, since it is smaller than the sum of its proper divisors (1045356155056).

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

1011120222032 is a wasteful number, since it uses less digits than its factorization.

1011120222032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11088 (or 11082 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1011120222032 its reverse (2302220211101), we get a palindrome (3313340433133).

The spelling of 1011120222032 in words is "one trillion, eleven billion, one hundred twenty million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 23 46 92 184 191 368 382 764 1528 1543 3056 3086 4393 6172 8786 9323 12344 17572 18646 24688 35144 35489 37292 70288 70978 74584 141956 149168 214429 283912 294713 428858 567824 589426 857716 1178852 1715432 1780693 2357704 3430864 3561386 4715408 6778399 7122772 13556798 14245544 14385389 27113596 28491088 28770778 40955939 54227192 57541556 81911878 108454384 115083112 163823756 230166224 327647512 330863947 655295024 661727894 1323455788 2646911576 2747609299 5293823152 5495218598 10990437196 21980874392 43961748784 63195013877 126390027754 252780055508 505560111016 1011120222032