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200412141330 = 235176731118859
BaseRepresentation
bin1011101010100101111…
…1101001011100010010
3201011022001210122010010
42322221133221130102
511240421002010310
6232022411415350
720323254044142
oct2725137513422
9634261718103
10200412141330
1177aa347a075
1232a11754556
1315b8b821b9b
1499b2b26922
15532e735320
hex2ea97e9712

200412141330 has 128 divisors (see below), whose sum is σ = 518573352960. Its totient is φ = 49386839040.

The previous prime is 200412141323. The next prime is 200412141361. The reversal of 200412141330 is 33141214002.

It is a junction number, because it is equal to n+sod(n) for n = 200412141297 and 200412141306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10617441 + ... + 10636299.

It is an arithmetic number, because the mean of its divisors is an integer number (4051354320).

Almost surely, 2200412141330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200412141330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259286676480).

200412141330 is an abundant number, since it is smaller than the sum of its proper divisors (318161211630).

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

200412141330 is a wasteful number, since it uses less digits than its factorization.

200412141330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19264.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 200412141330 its reverse (33141214002), we get a palindrome (233553355332).

The spelling of 200412141330 in words is "two hundred billion, four hundred twelve million, one hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 67 85 102 134 170 201 255 311 335 402 510 622 670 933 1005 1139 1555 1866 2010 2278 3110 3417 4665 5287 5695 6834 9330 10574 11390 15861 17085 18859 20837 26435 31722 34170 37718 41674 52870 56577 62511 79305 94295 104185 113154 125022 158610 188590 208370 282885 312555 320603 354229 565770 625110 641206 708458 961809 1062687 1263553 1603015 1771145 1923618 2125374 2527106 3206030 3542290 3790659 4809045 5313435 5865149 6317765 7581318 9618090 10626870 11730298 12635530 17595447 18953295 21480401 29325745 35190894 37906590 42960802 58651490 64441203 87977235 99707533 107402005 128882406 175954470 199415066 214804010 299122599 322206015 392964983 498537665 598245198 644412030 785929966 997075330 1178894949 1495612995 1964824915 2357789898 2991225990 3929649830 5894474745 6680404711 11788949490 13360809422 20041214133 33402023555 40082428266 66804047110 100206070665 200412141330