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10775430321420 = 22357311632115343
BaseRepresentation
bin1001110011001101100110…
…1100100101010100001100
31102011010021021012000000110
42130303121230211110030
52403021040130241140
634530055300000020
72161333131334332
oct234633154452414
942133237160013
1010775430321420
11348491a557626
121260425990010
13602170a9833b
14293768325b52
1513a461215380
hex9ccd9b2550c

10775430321420 has 96 divisors (see below), whose sum is σ = 30610821491712. Its totient is φ = 2831647569408.

The previous prime is 10775430321391. The next prime is 10775430321421. The reversal of 10775430321420 is 2412303457701.

It is a super-2 number, since 2×107754303214202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10775430321421) 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, 4036269 + ... + 6151611.

It is an arithmetic number, because the mean of its divisors is an integer number (318862723872).

Almost surely, 210775430321420 is an apocalyptic number.

10775430321420 is a gapful number since it is divisible by the number (10) 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 10775430321420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15305410745856).

10775430321420 is an abundant number, since it is smaller than the sum of its proper divisors (19835391170292).

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

10775430321420 is a wasteful number, since it uses less digits than its factorization.

10775430321420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116591 (or 2116589 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 10775430321420 in words is "ten trillion, seven hundred seventy-five billion, four hundred thirty million, three hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1163 1460 2190 2326 3489 4380 4652 5815 6978 11630 13956 17445 23260 34890 69780 84899 169798 254697 339596 424495 509394 848990 1018788 1273485 1697980 2115343 2546970 4230686 5093940 6346029 8461372 10576715 12692058 21153430 25384116 31730145 42306860 63460290 126920580 154420039 308840078 463260117 617680156 772100195 926520234 1544200390 1853040468 2316300585 2460143909 3088400780 4632601170 4920287818 7380431727 9265202340 9840575636 12300719545 14760863454 24601439090 29521726908 36902158635 49202878180 73804317270 147608634540 179590505357 359181010714 538771516071 718362021428 897952526785 1077543032142 1795905053570 2155086064284 2693857580355 3591810107140 5387715160710 10775430321420