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4101242200 = 2352117325537
BaseRepresentation
bin1111010001110011…
…1111110101011000
3101120211012200122021
43310130333311120
531344404222300
61514543504224
7203426661226
oct36434776530
911524180567
104101242200
111815053a70
129655b8074
135048ab743
142ac989b16
151900c2d1a
hexf473fd58

4101242200 has 96 divisors (see below), whose sum is σ = 10545150960. Its totient is φ = 1470873600.

The previous prime is 4101242191. The next prime is 4101242213. The reversal of 4101242200 is 22421014.

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, 147832 + ... + 173368.

Almost surely, 24101242200 is an apocalyptic number.

4101242200 is a gapful number since it is divisible by the number (40) 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 4101242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5272575480).

4101242200 is an abundant number, since it is smaller than the sum of its proper divisors (6443908760).

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

4101242200 is a wasteful number, since it uses less digits than its factorization.

4101242200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25637 (or 25628 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4101242200 is about 64040.9415920784. The cubic root of 4101242200 is about 1600.6822871363.

Adding to 4101242200 its reverse (22421014), we get a palindrome (4123663214).

The spelling of 4101242200 in words is "four billion, one hundred one million, two hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 73 88 100 110 146 200 220 275 292 365 440 550 584 730 803 1100 1460 1606 1825 2200 2920 3212 3650 4015 6424 7300 8030 14600 16060 20075 25537 32120 40150 51074 80300 102148 127685 160600 204296 255370 280907 510740 561814 638425 1021480 1123628 1276850 1404535 1864201 2247256 2553700 2809070 3728402 5107400 5618140 7022675 7456804 9321005 11236280 14045350 14913608 18642010 20506211 28090700 37284020 41012422 46605025 56181400 74568040 82024844 93210050 102531055 164049688 186420100 205062110 372840200 410124220 512655275 820248440 1025310550 2050621100 4101242200