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244211134100 = 225243671495689
BaseRepresentation
bin1110001101110000011…
…1100010111010010100
3212100100111022222222112
43203130013202322110
513000121022242400
6304104500050152
723433531250463
oct3433407427224
9770314288875
10244211134100
119462990065a
123b3b5993958
131a04b97825b
14bb69a829da
1565449d9835
hex38dc1e2e94

244211134100 has 144 divisors (see below), whose sum is σ = 554146824000. Its totient is φ = 93341445120.

The previous prime is 244211134099. The next prime is 244211134133. The reversal of 244211134100 is 1431112442.

244211134100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 42924056 + ... + 42929744.

Almost surely, 2244211134100 is an apocalyptic number.

244211134100 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 244211134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277073412000).

244211134100 is an abundant number, since it is smaller than the sum of its proper divisors (309935689900).

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

244211134100 is a wasteful number, since it uses less digits than its factorization.

244211134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5962 (or 5955 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 244211134100 its reverse (1431112442), we get a palindrome (245642246542).

The spelling of 244211134100 in words is "two hundred forty-four billion, two hundred eleven million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 67 86 100 134 149 172 215 268 298 335 430 596 670 745 860 1075 1340 1490 1675 2150 2881 2980 3350 3725 4300 5689 5762 6407 6700 7450 9983 11378 11524 12814 14405 14900 19966 22756 25628 28445 28810 32035 39932 49915 56890 57620 64070 72025 99830 113780 128140 142225 144050 160175 199660 244627 249575 284450 288100 320350 381163 429269 489254 499150 568900 640700 762326 847661 858538 978508 998300 1223135 1524652 1695322 1717076 1905815 2146345 2446270 3390644 3811630 4238305 4292690 4892540 6115675 7623260 8476610 8585380 9529075 10731725 12231350 16390009 16953220 19058150 21191525 21463450 24462700 32780018 36449423 38116300 42383050 42926900 56793287 65560036 72898846 81950045 84766100 113586574 145797692 163900090 182247115 227173148 283966435 327800180 364494230 409750225 567932870 728988460 819500450 911235575 1135865740 1419832175 1639000900 1822471150 2442111341 2839664350 3644942300 4884222682 5679328700 9768445364 12210556705 24421113410 48842226820 61052783525 122105567050 244211134100