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1012221223132 = 227295347949103
BaseRepresentation
bin11101011101011010001…
…01100010000011011100
310120202201102210212220211
432232231011202003130
5113041012113120012
62053001421422204
7133062533302120
oct16565505420334
93522642725824
101012221223132
1136030a5457a9
12144212a0a964
13745b5208712
1436dc55ad580
151b4e46346a7
hexebad1620dc

1012221223132 has 96 divisors (see below), whose sum is σ = 2138263142400. Its totient is φ = 410081048832.

The previous prime is 1012221223037. The next prime is 1012221223133. The reversal of 1012221223132 is 2313221222101.

1012221223132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012221223133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20589693 + ... + 20638795.

It is an arithmetic number, because the mean of its divisors is an integer number (22273574400).

Almost surely, 21012221223132 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 1012221223132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069131571200).

1012221223132 is an abundant number, since it is smaller than the sum of its proper divisors (1126041919268).

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

1012221223132 is a wasteful number, since it uses less digits than its factorization.

1012221223132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49675 (or 49673 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1012221223132 its reverse (2313221222101), we get a palindrome (3325442445233).

The spelling of 1012221223132 in words is "one trillion, twelve billion, two hundred twenty-one million, two hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 53 58 106 116 203 212 371 406 479 742 812 958 1484 1537 1916 3074 3353 6148 6706 10759 13412 13891 21518 25387 27782 43036 49103 50774 55564 97237 98206 101548 177709 194474 196412 343721 355418 388948 687442 710836 736223 1374884 1423987 1472446 2602459 2847974 2944892 5153561 5204918 5695948 9967909 10307122 10409836 18217213 19935818 20614244 23520337 36434426 39871636 47040674 72868852 75471311 94081348 150942622 164642359 301885244 329284718 528299177 658569436 682089773 1056598354 1246577861 1364179546 2113196708 2493155722 2728359092 4774628411 4986311444 8726045027 9549256822 17452090054 19098513644 34904180108 36150757969 72301515938 144603031876 253055305783 506110611566 1012221223132