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10341113100 = 22352313110129
BaseRepresentation
bin10011010000110000…
…01101110100001100
3222200200121222022220
421220120031310030
5132134311104400
64430045535340
7514156003533
oct115030156414
928620558286
1010341113100
11442731a36a
122007274550
13c8a581646
1470159931a
15407cdd7a0
hex26860dd0c

10341113100 has 72 divisors (see below), whose sum is σ = 30016151760. Its totient is φ = 2748794880.

The previous prime is 10341113093. The next prime is 10341113113. The reversal of 10341113100 is 131114301.

It is a super-2 number, since 2×103411131002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10341113100.

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, 38836 + ... + 148964.

Almost surely, 210341113100 is an apocalyptic number.

10341113100 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 10341113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15008075880).

10341113100 is an abundant number, since it is smaller than the sum of its proper divisors (19675038660).

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

10341113100 is a wasteful number, since it uses less digits than its factorization.

10341113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110459 (or 110452 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10341113100 its reverse (131114301), we get a palindrome (10472227401).

The spelling of 10341113100 in words is "ten billion, three hundred forty-one million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 313 626 939 1252 1565 1878 3130 3756 4695 6260 7825 9390 15650 18780 23475 31300 46950 93900 110129 220258 330387 440516 550645 660774 1101290 1321548 1651935 2202580 2753225 3303870 5506450 6607740 8259675 11012900 16519350 33038700 34470377 68940754 103411131 137881508 172351885 206822262 344703770 413644524 517055655 689407540 861759425 1034111310 1723518850 2068222620 2585278275 3447037700 5170556550 10341113100