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2334051113200 = 245279157470461
BaseRepresentation
bin100001111101110000010…
…010011001100011110000
322021010121000221122122221
4201331300102121203300
5301220114041110300
64544125343410424
7330425651055052
oct41756022314360
98233530848587
102334051113200
1181a958006454
12318430bb3a14
1313c13bb34771
1480d7c0978d2
1540aa9c8531a
hex21f704998f0

2334051113200 has 120 divisors (see below), whose sum is σ = 5714720732480. Its totient is φ = 915929164800.

The previous prime is 2334051113137. The next prime is 2334051113213. The reversal of 2334051113200 is 23111504332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4725970 + ... + 5196430.

Almost surely, 22334051113200 is an apocalyptic number.

2334051113200 is a gapful number since it is divisible by the number (20) 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 2334051113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857360366240).

2334051113200 is an abundant number, since it is smaller than the sum of its proper divisors (3380669619280).

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

2334051113200 is a wasteful number, since it uses less digits than its factorization.

2334051113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470715 (or 470704 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 2334051113200 its reverse (23111504332), we get a palindrome (2357162617532).

The spelling of 2334051113200 in words is "two trillion, three hundred thirty-four billion, fifty-one million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 79 80 100 157 158 200 314 316 395 400 628 632 785 790 1256 1264 1570 1580 1975 2512 3140 3160 3925 3950 6280 6320 7850 7900 12403 12560 15700 15800 24806 31400 31600 49612 62015 62800 99224 124030 198448 248060 310075 470461 496120 620150 940922 992240 1240300 1881844 2352305 2480600 3763688 4704610 4961200 7527376 9409220 11761525 18818440 23523050 37166419 37636880 47046100 73862377 74332838 94092200 147724754 148665676 185832095 188184400 295449508 297331352 369311885 371664190 590899016 594662704 738623770 743328380 929160475 1181798032 1477247540 1486656760 1846559425 1858320950 2954495080 2973313520 3693118850 3716641900 5835127783 5908990160 7386237700 7433283800 11670255566 14772475400 14866567600 23340511132 29175638915 29544950800 46681022264 58351277830 93362044528 116702555660 145878194575 233405111320 291756389150 466810222640 583512778300 1167025556600 2334051113200