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1234124010020 = 2251147523228211
BaseRepresentation
bin10001111101010111100…
…001011111001000100100
311100222111020001102120102
4101331113201133020210
5130204441221310040
62342540532323232
7155106513000506
oct21752741371044
94328436042512
101234124010020
11436430914970
1217b221773518
138c4ba1a0705
1443a36567d76
15221808d3515
hex11f5785f224

1234124010020 has 96 divisors (see below), whose sum is σ = 2892954064896. Its totient is φ = 438382281600.

The previous prime is 1234124009977. The next prime is 1234124010101. The reversal of 1234124010020 is 200104214321.

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

It is a junction number, because it is equal to n+sod(n) for n = 1234124009974 and 1234124010001.

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, 5293715 + ... + 5521925.

It is an arithmetic number, because the mean of its divisors is an integer number (30134938176).

Almost surely, 21234124010020 is an apocalyptic number.

1234124010020 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 1234124010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446477032448).

1234124010020 is an abundant number, since it is smaller than the sum of its proper divisors (1658830054876).

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

1234124010020 is a wasteful number, since it uses less digits than its factorization.

1234124010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228801 (or 228799 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1234124010020 its reverse (200104214321), we get a palindrome (1434228224341).

The spelling of 1234124010020 in words is "one trillion, two hundred thirty-four billion, one hundred twenty-four million, ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 523 940 1034 1046 2068 2092 2585 2615 5170 5230 5753 10340 10460 11506 23012 24581 28765 49162 57530 98324 115060 122905 228211 245810 270391 456422 491620 540782 912844 1081564 1141055 1351955 2282110 2510321 2703910 4564220 5020642 5407820 10041284 10725917 12551605 21451834 25103210 42903668 50206420 53629585 107259170 117985087 119354353 214518340 235970174 238708706 471940348 477417412 589925435 596771765 1179850870 1193543530 1312897883 2359701740 2387087060 2625795766 5251591532 5609654591 6564489415 11219309182 13128978830 22438618364 26257957660 28048272955 56096545910 61706200501 112193091820 123412401002 246824802004 308531002505 617062005010 1234124010020