Search a number
-
+
1022235512312 = 23771547470021
BaseRepresentation
bin11101110000000011111…
…11000000110111111000
310121201120100110111010002
432320001333000313320
5113222014242343222
62101335234412132
7133565643326360
oct16700177006770
93551510414102
101022235512312
1136458932a453
12146148731048
137551cb59b11
14376955b19a0
151b8cd8b6392
hexee01fc0df8

1022235512312 has 64 divisors (see below), whose sum is σ = 2225422563840. Its totient is φ = 431139945600.

The previous prime is 1022235512281. The next prime is 1022235512321. The reversal of 1022235512312 is 2132155322201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1939862 + ... + 2409882.

It is an arithmetic number, because the mean of its divisors is an integer number (34772227560).

Almost surely, 21022235512312 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 1022235512312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112711281920).

1022235512312 is an abundant number, since it is smaller than the sum of its proper divisors (1203187051528).

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

1022235512312 is a wasteful number, since it uses less digits than its factorization.

1022235512312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470652 (or 470648 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 1022235512312 in words is "one trillion, twenty-two billion, two hundred thirty-five million, five hundred twelve thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 71 142 284 497 547 568 994 1094 1988 2188 3829 3976 4376 7658 15316 30632 38837 77674 155348 271859 310696 470021 543718 940042 1087436 1880084 2174872 3290147 3760168 6580294 13160588 26321176 33371491 66742982 133485964 233600437 257101487 266971928 467200874 514202974 934401748 1028405948 1799710409 1868803496 2056811896 3599420818 7198841636 14397683272 18254205577 36508411154 73016822308 127779439039 146033644616 255558878078 511117756156 1022235512312