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2102421042 = 233174183673
BaseRepresentation
bin111110101010000…
…0110011000110010
312102112002001111000
41331110012120302
513301204433132
6544342102430
7103046166261
oct17524063062
95375061430
102102421042
11989842057
124a811aa16
13276757b27
1415d31a5d8
15c489487c
hex7d506632

2102421042 has 128 divisors (see below), whose sum is σ = 5136203520. Its totient is φ = 634798080.

The previous prime is 2102421029. The next prime is 2102421047. The reversal of 2102421042 is 2401242012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2102421047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3123618 + ... + 3124290.

It is an arithmetic number, because the mean of its divisors is an integer number (40126590).

Almost surely, 22102421042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102421042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568101760).

2102421042 is an abundant number, since it is smaller than the sum of its proper divisors (3033782478).

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

2102421042 is a wasteful number, since it uses less digits than its factorization.

2102421042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2102421042 is about 45852.1650742907. The cubic root of 2102421042 is about 1281.0710928081.

Adding to 2102421042 its reverse (2401242012), we get a palindrome (4503663054).

The spelling of 2102421042 in words is "two billion, one hundred two million, four hundred twenty-one thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 41 51 54 82 83 102 123 153 166 246 249 306 369 459 498 673 697 738 747 918 1107 1346 1394 1411 1494 2019 2091 2214 2241 2822 3403 4038 4182 4233 4482 6057 6273 6806 8466 10209 11441 12114 12546 12699 18171 18819 20418 22882 25398 27593 30627 34323 36342 37638 38097 55186 55859 57851 61254 68646 76194 82779 91881 102969 111718 115702 165558 167577 173553 183762 205938 248337 308907 335154 347106 469081 496674 502731 520659 617814 745011 938162 949603 1005462 1041318 1407243 1490022 1508193 1561977 1899206 2290219 2814486 2848809 3016386 3123954 4221729 4580438 5697618 6870657 8443458 8546427 12665187 13741314 17092854 20611971 25330374 25639281 38933723 41223942 51278562 61835913 77867446 116801169 123671826 233602338 350403507 700807014 1051210521 2102421042