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1341215000 = 23541731509
BaseRepresentation
bin100111111110001…
…0101000100011000
310110110201210002122
41033330111010120
510221322340000
6341030520412
745144065546
oct11774250430
93413653078
101341215000
11629098754
12315206108
13184b38858
14ca1acd96
157cb32085
hex4ff15118

1341215000 has 160 divisors (see below), whose sum is σ = 3441398400. Its totient is φ = 487680000.

The previous prime is 1341214957. The next prime is 1341215003. The reversal of 1341215000 is 5121431.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 1341215000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341215003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2634746 + ... + 2635254.

It is an arithmetic number, because the mean of its divisors is an integer number (21508740).

Almost surely, 21341215000 is an apocalyptic number.

1341215000 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 1341215000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720699200).

1341215000 is an abundant number, since it is smaller than the sum of its proper divisors (2100183400).

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

1341215000 is a wasteful number, since it uses less digits than its factorization.

1341215000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1341215000 is about 36622.6023105950. The cubic root of 1341215000 is about 1102.8068811476.

Adding to 1341215000 its reverse (5121431), we get a palindrome (1346336431).

The spelling of 1341215000 in words is "one billion, three hundred forty-one million, two hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 17 20 25 31 34 40 50 62 68 85 100 124 125 136 155 170 200 248 250 310 340 425 500 509 527 620 625 680 775 850 1000 1018 1054 1240 1250 1550 1700 2036 2108 2125 2500 2545 2635 3100 3400 3875 4072 4216 4250 5000 5090 5270 6200 7750 8500 8653 10180 10540 10625 12725 13175 15500 15779 17000 17306 19375 20360 21080 21250 25450 26350 31000 31558 34612 38750 42500 43265 50900 52700 63116 63625 65875 69224 77500 78895 85000 86530 101800 105400 126232 127250 131750 155000 157790 173060 216325 254500 263500 268243 315580 318125 329375 346120 394475 432650 509000 527000 536486 631160 636250 658750 788950 865300 1072972 1081625 1272500 1317500 1341215 1577900 1730600 1972375 2145944 2163250 2545000 2635000 2682430 3155800 3944750 4326500 5364860 5408125 6706075 7889500 8653000 9861875 10729720 10816250 13412150 15779000 19723750 21632500 26824300 33530375 39447500 43265000 53648600 67060750 78895000 134121500 167651875 268243000 335303750 670607500 1341215000