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20131033340 = 22511617320549
BaseRepresentation
bin10010101111111001…
…110011000011111100
31220221222002110012102
4102233321303003330
5312212021031330
613125325524232
71311602650205
oct225771630374
956858073172
1020131033340
1185a0497340
123a99a13678
131b8a895862
14d8d8745ac
157cc500945
hex4afe730fc

20131033340 has 96 divisors (see below), whose sum is σ = 47518833600. Its totient is φ = 7101388800.

The previous prime is 20131033303. The next prime is 20131033367. The reversal of 20131033340 is 4333013102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 969386 + ... + 989934.

It is an arithmetic number, because the mean of its divisors is an integer number (494987850).

Almost surely, 220131033340 is an apocalyptic number.

20131033340 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 20131033340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23759416800).

20131033340 is an abundant number, since it is smaller than the sum of its proper divisors (27387800260).

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

20131033340 is a wasteful number, since it uses less digits than its factorization.

20131033340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20703 (or 20701 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 20131033340 its reverse (4333013102), we get a palindrome (24464046442).

The spelling of 20131033340 in words is "twenty billion, one hundred thirty-one million, thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 73 110 122 146 220 244 292 305 365 610 671 730 803 1220 1342 1460 1606 2684 3212 3355 4015 4453 6710 8030 8906 13420 16060 17812 20549 22265 41098 44530 48983 82196 89060 97966 102745 195932 205490 226039 244915 410980 452078 489830 904156 979660 1130195 1253489 1500077 2260390 2506978 3000154 4520780 5013956 6000308 6267445 7500385 12534890 13788379 15000770 16500847 25069780 27576758 30001540 33001694 55153516 66003388 68941895 82504235 91504697 137883790 165008470 183009394 275767580 330016940 366018788 457523485 915046970 1006551667 1830093940 2013103334 4026206668 5032758335 10065516670 20131033340