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1022431150664 = 2371113165319403
BaseRepresentation
bin11101110000011011010…
…01010100001001001000
310121202001222120221110222
432320031221110021020
5113222414333310124
62101410503525212
7133603540246520
oct16701551241110
93552058527428
101022431150664
11364679803440
121461a2159808
1375551547a61
14376b357a680
151b8e0b5d25e
hexee0da54248

1022431150664 has 128 divisors (see below), whose sum is σ = 2412156257280. Its totient is φ = 394683244800.

The previous prime is 1022431150639. The next prime is 1022431150669. The reversal of 1022431150664 is 4660511342201.

It is a super-2 number, since 2×10224311506642 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1022431150669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52684787 + ... + 52704189.

It is an arithmetic number, because the mean of its divisors is an integer number (18844970760).

Almost surely, 21022431150664 is an apocalyptic number.

1022431150664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022431150664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206078128640).

1022431150664 is an abundant number, since it is smaller than the sum of its proper divisors (1389725106616).

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

1022431150664 is a wasteful number, since it uses less digits than its factorization.

1022431150664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20211 (or 20207 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

Adding to 1022431150664 its reverse (4660511342201), we get a palindrome (5682942492865).

The spelling of 1022431150664 in words is "one trillion, twenty-two billion, four hundred thirty-one million, one hundred fifty thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 131 154 262 308 524 616 653 917 1048 1306 1441 1834 2612 2882 3668 4571 5224 5764 7183 7336 9142 10087 11528 14366 18284 19403 20174 28732 36568 38806 40348 50281 57464 77612 80696 85543 100562 135821 155224 171086 201124 213433 271642 342172 402248 426866 543284 598801 684344 853732 940973 1086568 1197602 1494031 1707464 1881946 2395204 2541793 2988062 3763892 4790408 5083586 5976124 6586811 7527784 10167172 11952248 12670159 13173622 17792551 20334344 25340318 26347244 27959723 35585102 50680636 52694488 55919446 71170204 88691113 101361272 111838892 139371749 142340408 177382226 195718061 223677784 278743498 354764452 391436122 557486996 709528904 782872244 975602243 1114973992 1565744488 1659790829 1951204486 3319581658 3902408972 6639163316 7804817944 11618535803 13278326632 18257699119 23237071606 36515398238 46474143212 73030796476 92948286424 127803893833 146061592952 255607787666 511215575332 1022431150664