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10220021202032 = 2429711399221747
BaseRepresentation
bin1001010010111000100010…
…1110111011110001110000
31100012000122211221101021222
42110232020232323301300
52314421100411431112
633423002443004212
72103241436611565
oct224561056736160
940160584841258
1010220021202032
113290317595684
121190860509668
135919893668b5
1427491a25486c
1512aca5e20372
hex94b88bbbc70

10220021202032 has 80 divisors (see below), whose sum is σ = 20787544512000. Its totient is φ = 4860814237440.

The previous prime is 10220021202029. The next prime is 10220021202037. The reversal of 10220021202032 is 23020212002201.

10220021202032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10220021202032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220021202037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45977783 + ... + 46199529.

It is an arithmetic number, because the mean of its divisors is an integer number (259844306400).

Almost surely, 210220021202032 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 10220021202032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10393772256000).

10220021202032 is an abundant number, since it is smaller than the sum of its proper divisors (10567523309968).

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

10220021202032 is a wasteful number, since it uses less digits than its factorization.

10220021202032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223254 (or 223248 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10220021202032 its reverse (23020212002201), we get a palindrome (33240233204233).

The spelling of 10220021202032 in words is "ten trillion, two hundred twenty billion, twenty-one million, two hundred two thousand, thirty-two".

Divisors: 1 2 4 8 16 29 58 71 116 142 232 284 464 568 1136 1399 2059 2798 4118 5596 8236 11192 16472 22384 32944 40571 81142 99329 162284 198658 221747 324568 397316 443494 649136 794632 886988 1589264 1773976 2880541 3547952 5761082 6430663 11522164 12861326 15744037 23044328 25722652 31488074 46088656 51445304 62976148 102890608 125952296 251904592 310224053 456577073 620448106 913154146 1240896212 1826308292 2481792424 3652616584 4963584848 7305233168 8996497537 17992995074 22025907763 35985990148 44051815526 71971980296 88103631052 143943960592 176207262104 352414524208 638751325127 1277502650254 2555005300508 5110010601016 10220021202032