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11315411425200 = 2435263439148639
BaseRepresentation
bin1010010010101001001100…
…0101000001011110110000
31111001202001110220020000110
42210222103011001132300
52440342430311101300
640022121145021320
72245340305103541
oct244522305013660
944052043806013
1011315411425200
113672925837053
121329004484840
136410670b076c
142b19513d84c8
15149516d4b550
hexa4a931417b0

11315411425200 has 120 divisors (see below), whose sum is σ = 36247849830400. Its totient is φ = 3017375182080.

The previous prime is 11315411425121. The next prime is 11315411425217. The reversal of 11315411425200 is 252411451311.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 76052481 + ... + 76201119.

Almost surely, 211315411425200 is an apocalyptic number.

11315411425200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11315411425200 is an abundant number, since it is smaller than the sum of its proper divisors (24932438405200).

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

11315411425200 is a wasteful number, since it uses less digits than its factorization.

11315411425200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212099 (or 212088 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 11315411425200 its reverse (252411451311), we get a palindrome (11567822876511).

The spelling of 11315411425200 in words is "eleven trillion, three hundred fifteen billion, four hundred eleven million, four hundred twenty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 63439 126878 148639 190317 253756 297278 317195 380634 445917 507512 594556 634390 743195 761268 891834 951585 1015024 1189112 1268780 1486390 1522536 1585975 1783668 1903170 2229585 2378224 2537560 2972780 3045072 3171950 3567336 3715975 3806340 4459170 4757925 5075120 5945560 6343900 7134672 7431950 7612680 8918340 9515850 11147925 11891120 12687800 14863900 15225360 17836680 19031700 22295850 25375600 29727800 35673360 38063400 44591700 59455600 76126800 89183400 178366800 9429509521 18859019042 28288528563 37718038084 47147547605 56577057126 75436076168 94295095210 113154114252 141442642815 150872152336 188590190420 226308228504 235737738025 282885285630 377180380840 452616457008 471475476050 565770571260 707213214075 754360761680 942950952100 1131541142520 1414426428150 1885901904200 2263082285040 2828852856300 3771803808400 5657705712600 11315411425200