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10114423400 = 2352402112577
BaseRepresentation
bin10010110101101110…
…11101101001101000
3222002220001221112002
421122313131221220
5131203243022100
64351351110132
7505434115604
oct113267355150
928086057462
1010114423400
114320368004
121b63372348
13c52611023
146bd42a504
153e2e612d5
hex25addda68

10114423400 has 48 divisors (see below), whose sum is σ = 23523752940. Its totient is φ = 4044441600.

The previous prime is 10114423393. The next prime is 10114423421. The reversal of 10114423400 is 432441101.

It can be written as a sum of positive squares in 6 ways, for example, as 3446394436 + 6668028964 = 58706^2 + 81658^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 797912 + ... + 810488.

Almost surely, 210114423400 is an apocalyptic number.

10114423400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10114423400 is an abundant number, since it is smaller than the sum of its proper divisors (13409329540).

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

10114423400 is a wasteful number, since it uses less digits than its factorization.

10114423400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16614 (or 16605 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10114423400 its reverse (432441101), we get a palindrome (10546864501).

The spelling of 10114423400 in words is "ten billion, one hundred fourteen million, four hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 4021 8042 12577 16084 20105 25154 32168 40210 50308 62885 80420 100525 100616 125770 160840 201050 251540 314425 402100 503080 628850 804200 1257700 2515400 50572117 101144234 202288468 252860585 404576936 505721170 1011442340 1264302925 2022884680 2528605850 5057211700 10114423400