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1525113314220 = 2235107263903257
BaseRepresentation
bin10110001100010111110…
…101100101101110101100
312101210120202202200102110
4112030113311211232230
5144441413002023340
63124343303124020
7215120505164046
oct26142765455654
95353522680373
101525113314220
11538884785031
122076b1443610
13b0a82275852
1453b5caaca96
1529a11ea1680
hex16317d65bac

1525113314220 has 96 divisors (see below), whose sum is σ = 4326620272128. Its totient is φ = 401363610112.

The previous prime is 1525113314201. The next prime is 1525113314239. The reversal of 1525113314220 is 224133115251.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1525113314201) and next prime (1525113314239).

It is a super-2 number, since 2×15251133142202 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1236832 + ... + 2140088.

It is an arithmetic number, because the mean of its divisors is an integer number (45068961168).

Almost surely, 21525113314220 is an apocalyptic number.

1525113314220 is a gapful number since it is divisible by the number (10) 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 1525113314220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163310136064).

1525113314220 is an abundant number, since it is smaller than the sum of its proper divisors (2801506957908).

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

1525113314220 is a wasteful number, since it uses less digits than its factorization.

1525113314220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903639 (or 903637 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 1525113314220 its reverse (224133115251), we get a palindrome (1749246429471).

The spelling of 1525113314220 in words is "one trillion, five hundred twenty-five billion, one hundred thirteen million, three hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 263 321 428 526 535 642 789 1052 1070 1284 1315 1578 1605 2140 2630 3156 3210 3945 5260 6420 7890 15780 28141 56282 84423 112564 140705 168846 281410 337692 422115 562820 844230 903257 1688460 1806514 2709771 3613028 4516285 5419542 9032570 10839084 13548855 18065140 27097710 54195420 96648499 193296998 237556591 289945497 386593996 475113182 483242495 579890994 712669773 950226364 966484990 1159781988 1187782955 1425339546 1449727485 1932969980 2375565910 2850679092 2899454970 3563348865 4751131820 5798909940 7126697730 14253395460 25418555237 50837110474 76255665711 101674220948 127092776185 152511331422 254185552370 305022662844 381278328555 508371104740 762556657110 1525113314220