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2123041020 = 22351312571051
BaseRepresentation
bin111111010001011…
…0000100011111100
312110221212122202220
41332202300203330
513321444303040
6550400045340
7103416356652
oct17642604374
95427778686
102123041020
1199a446161
124b3003850
1327aac74b9
14161d66dd2
15c65b92d0
hex7e8b08fc

2123041020 has 96 divisors (see below), whose sum is σ = 6018921216. Its totient is φ = 559104000.

The previous prime is 2123040991. The next prime is 2123041043. The reversal of 2123041020 is 201403212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2019495 + ... + 2020545.

It is an arithmetic number, because the mean of its divisors is an integer number (62697096).

Almost surely, 22123041020 is an apocalyptic number.

2123041020 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 2123041020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009460608).

2123041020 is an abundant number, since it is smaller than the sum of its proper divisors (3895880196).

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

2123041020 is a wasteful number, since it uses less digits than its factorization.

2123041020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2123041020 is about 46076.4692657760. The cubic root of 2123041020 is about 1285.2456080463.

Adding to 2123041020 its reverse (201403212), we get a palindrome (2324444232).

The spelling of 2123041020 in words is "two billion, one hundred twenty-three million, forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 257 262 393 514 524 655 771 786 1028 1051 1285 1310 1542 1572 1965 2102 2570 2620 3084 3153 3855 3930 4204 5140 5255 6306 7710 7860 10510 12612 15420 15765 21020 31530 33667 63060 67334 101001 134668 137681 168335 202002 270107 275362 336670 404004 413043 505005 540214 550724 673340 688405 810321 826086 1010010 1080428 1350535 1376810 1620642 1652172 2020020 2065215 2701070 2753620 3241284 4051605 4130430 5402140 8103210 8260860 16206420 35384017 70768034 106152051 141536068 176920085 212304102 353840170 424608204 530760255 707680340 1061520510 2123041020