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245554020103100 = 2252191721401318713
BaseRepresentation
bin110111110101010010000000…
…001001000011001110111100
31012012102201211212020110212212
4313311102000021003032330
5224141124113121244400
62230125543131515552
7102502456346331122
oct6765220011031674
91165381755213785
10245554020103100
117127196984a385
122365a0205b8bb8
13a70284c6480c7
14448cc412a3912
151d5c65489c335
hexdf54802433bc

245554020103100 has 144 divisors (see below), whose sum is σ = 561392840746080. Its totient is φ = 92969838489600.

The previous prime is 245554020103061. The next prime is 245554020103109. The reversal of 245554020103100 is 1301020455542.

It is a super-2 number, since 2×2455540201031002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245554020103109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13122099344 + ... + 13122118056.

It is an arithmetic number, because the mean of its divisors is an integer number (3898561394070).

Almost surely, 2245554020103100 is an apocalyptic number.

245554020103100 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 245554020103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280696420373040).

245554020103100 is an abundant number, since it is smaller than the sum of its proper divisors (315838820642980).

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

245554020103100 is a wasteful number, since it uses less digits than its factorization.

245554020103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24480 (or 24473 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

Adding to 245554020103100 its reverse (1301020455542), we get a palindrome (246855040558642).

The spelling of 245554020103100 in words is "two hundred forty-five trillion, five hundred fifty-four billion, twenty million, one hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1721 1900 3442 4013 6884 8026 8605 16052 17210 18713 20065 32699 34420 37426 40130 43025 65398 74852 76247 80260 86050 93565 100325 130796 152494 163495 172100 187130 200650 304988 326990 355547 374260 381235 401300 467825 653980 711094 762470 817475 935650 1422188 1524940 1634950 1777735 1871300 1906175 3269900 3555470 3812350 6906373 7110940 7624700 8888675 13812746 17777350 27625492 32205073 34531865 35554700 64410146 69063730 75095269 128820292 131221087 138127460 150190538 161025365 172659325 262442174 300381076 322050730 345318650 375476345 524884348 611896387 644101460 656105435 690637300 750952690 805126825 1223792774 1312210870 1426810111 1501905380 1610253650 1877381725 2447585548 2624421740 2853620222 3059481935 3220507300 3280527175 3754763450 5707240444 6118963870 6561054350 7134050555 7509526900 12237927740 13122108700 14268101110 15297409675 28536202220 30594819350 35670252775 61189638700 71340505550 129238957949 142681011100 258477915898 516955831796 646194789745 1292389579490 2455540201031 2584779158980 3230973948725 4911080402062 6461947897450 9822160804124 12277701005155 12923895794900 24555402010310 49110804020620 61388505025775 122777010051550 245554020103100