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10430042311100 = 22526714931042681
BaseRepresentation
bin1001011111000110111011…
…1101111000100110111100
31100221002202120201011010002
42113301232331320212330
52331341211312423400
634103254552133432
72124355112566166
oct227615675704674
940832676634102
1010430042311100
1133613a0a793a5
1212054b4097278
135a87198543b9
14280b611d1936
15131499021ed5
hex97c6ef789bc

10430042311100 has 72 divisors (see below), whose sum is σ = 22986408494448. Its totient is φ = 4106991398400.

The previous prime is 10430042311069. The next prime is 10430042311123. The reversal of 10430042311100 is 111324003401.

It is a super-2 number, since 2×104300423111002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9481760 + ... + 10524440.

It is an arithmetic number, because the mean of its divisors is an integer number (319255673534).

Almost surely, 210430042311100 is an apocalyptic number.

10430042311100 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 10430042311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11493204247224).

10430042311100 is an abundant number, since it is smaller than the sum of its proper divisors (12556366183348).

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

10430042311100 is a wasteful number, since it uses less digits than its factorization.

10430042311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044255 (or 1044248 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10430042311100 its reverse (111324003401), we get a palindrome (10541366314501).

The spelling of 10430042311100 in words is "ten trillion, four hundred thirty billion, forty-two million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 670 1340 1493 1675 2986 3350 5972 6700 7465 14930 29860 37325 74650 100031 149300 200062 400124 500155 1000310 1042681 2000620 2085362 2500775 4170724 5001550 5213405 10003100 10426810 20853620 26067025 52134050 69859627 104268100 139719254 279438508 349298135 698596270 1397192540 1556722733 1746490675 3113445466 3492981350 6226890932 6985962700 7783613665 15567227330 31134454660 38918068325 77836136650 104300423111 155672273300 208600846222 417201692444 521502115555 1043004231110 2086008462220 2607510577775 5215021155550 10430042311100