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134350036700 = 2252111013120569
BaseRepresentation
bin111110100011111100…
…0101101111011011100
3110211210002022000011012
41331013320231323130
54200122102133300
6141415231314352
712464214320045
oct1750770557334
9424702260135
10134350036700
1151a83103090
122205567b9b8
13c891193049
1467070d98cc
153764bcd435
hex1f47e2dedc

134350036700 has 72 divisors (see below), whose sum is σ = 318359779920. Its totient is φ = 48805926400.

The previous prime is 134350036699. The next prime is 134350036721. The reversal of 134350036700 is 7630053431.

It is a super-2 number, since 2×1343500367002 (a number of 23 digits) contains 22 as substring.

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, 1054016 + ... + 1174584.

It is an arithmetic number, because the mean of its divisors is an integer number (4421663610).

Almost surely, 2134350036700 is an apocalyptic number.

134350036700 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 134350036700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159179889960).

134350036700 is an abundant number, since it is smaller than the sum of its proper divisors (184009743220).

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

134350036700 is a wasteful number, since it uses less digits than its factorization.

134350036700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121607 (or 121600 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 32.

The spelling of 134350036700 in words is "one hundred thirty-four billion, three hundred fifty million, thirty-six thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1013 1100 2026 4052 5065 10130 11143 20260 22286 25325 44572 50650 55715 101300 111430 120569 222860 241138 278575 482276 557150 602845 1114300 1205690 1326259 2411380 2652518 3014225 5305036 6028450 6631295 12056900 13262590 26525180 33156475 66312950 122136397 132625900 244272794 488545588 610681985 1221363970 1343500367 2442727940 2687000734 3053409925 5374001468 6106819850 6717501835 12213639700 13435003670 26870007340 33587509175 67175018350 134350036700