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10141434200 = 235291155661
BaseRepresentation
bin10010111000111101…
…00000000101011000
3222011202220020101002
421130132200011120
5131232201343300
64354154044132
7506212524362
oct113436400530
928152806332
1010141434200
114334636687
121b70419648
13c580aa551
146c2c5bd32
153e54e95d5
hex25c7a0158

10141434200 has 48 divisors (see below), whose sum is σ = 23605140960. Its totient is φ = 4052048000.

The previous prime is 10141434197. The next prime is 10141434221. The reversal of 10141434200 is 243414101.

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 11 ways as a sum of consecutive naturals, for example, 154370 + ... + 210030.

It is an arithmetic number, because the mean of its divisors is an integer number (491773770).

Almost surely, 210141434200 is an apocalyptic number.

10141434200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10141434200 is an abundant number, since it is smaller than the sum of its proper divisors (13463706760).

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

10141434200 is a wasteful number, since it uses less digits than its factorization.

10141434200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56588 (or 56579 counting only the distinct ones).

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

Adding to 10141434200 its reverse (243414101), we get a palindrome (10384848301).

The spelling of 10141434200 in words is "ten billion, one hundred forty-one million, four hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 911 1822 3644 4555 7288 9110 18220 22775 36440 45550 55661 91100 111322 182200 222644 278305 445288 556610 1113220 1391525 2226440 2783050 5566100 11132200 50707171 101414342 202828684 253535855 405657368 507071710 1014143420 1267679275 2028286840 2535358550 5070717100 10141434200