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10302122103030 = 23555581759641
BaseRepresentation
bin1001010111101010011001…
…0101000001000011110110
31100110212120121021021200000
42111322212111001003312
52322242221224244110
633524421330132130
72112206122012152
oct225724625010366
940425517237600
1010302122103030
11331211839577a
1211a4753a21046
135996418136a4
142788a8032062
1512ceada831c0
hex95ea65410f6

10302122103030 has 96 divisors (see below), whose sum is σ = 27782587411488. Its totient is φ = 2746736697600.

The previous prime is 10302122102983. The next prime is 10302122103047. The reversal of 10302122103030 is 3030122120301.

It is a super-2 number, since 2×103021221030302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10302122102994 and 10302122103012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13182010 + ... + 13941650.

It is an arithmetic number, because the mean of its divisors is an integer number (289401952203).

Almost surely, 210302122103030 is an apocalyptic number.

10302122103030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10302122103030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13891293705744).

10302122103030 is an abundant number, since it is smaller than the sum of its proper divisors (17480465308458).

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

10302122103030 is an equidigital number, since it uses as much as digits as its factorization.

10302122103030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765244 (or 765232 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10302122103030 its reverse (3030122120301), we get a palindrome (13332244223331).

The spelling of 10302122103030 in words is "ten trillion, three hundred two billion, one hundred twenty-two million, one hundred three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 5581 11162 16743 27905 33486 50229 55810 83715 100458 150687 167430 251145 301374 452061 502290 753435 759641 904122 1356183 1506870 1519282 2260305 2278923 2712366 3798205 4520610 4557846 6780915 6836769 7596410 11394615 13561830 13673538 20510307 22789230 34183845 41020614 61530921 68367690 102551535 123061842 184592763 205103070 307654605 369185526 615309210 922963815 1845927630 4239556421 8479112842 12718669263 21197782105 25437338526 38156007789 42395564210 63593346315 76312015578 114468023367 127186692630 190780038945 228936046734 343404070101 381560077890 572340116835 686808140202 1030212210303 1144680233670 1717020350505 2060424420606 3434040701010 5151061051515 10302122103030