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2102121301020 = 2235132227913259
BaseRepresentation
bin11110100101110000001…
…100011000010000011100
321102221221110002110011020
4132211300030120100130
5233420121023113040
64245411242524140
7304605345145446
oct36456014302034
97387843073136
102102121301020
11740560743824
1229b4a4206650
131232c96ac300
1473a59543496
1539a3358acd0
hex1e97031841c

2102121301020 has 144 divisors (see below), whose sum is σ = 6401616520320. Its totient is φ = 515165184768.

The previous prime is 2102121300991. The next prime is 2102121301031. The reversal of 2102121301020 is 201031212012.

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 47 ways as a sum of consecutive naturals, for example, 1845151 + ... + 2758409.

It is an arithmetic number, because the mean of its divisors is an integer number (44455670280).

Almost surely, 22102121301020 is an apocalyptic number.

2102121301020 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 2102121301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200808260160).

2102121301020 is an abundant number, since it is smaller than the sum of its proper divisors (4299495219300).

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

2102121301020 is a wasteful number, since it uses less digits than its factorization.

2102121301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913524 (or 913509 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2102121301020 its reverse (201031212012), we get a palindrome (2303152513032).

The spelling of 2102121301020 in words is "two trillion, one hundred two billion, one hundred twenty-one million, three hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 227 260 338 390 454 507 676 681 780 845 908 1014 1135 1362 1690 2028 2270 2535 2724 2951 3380 3405 4540 5070 5902 6810 8853 10140 11804 13620 14755 17706 29510 35412 38363 44265 59020 76726 88530 115089 153452 177060 191815 230178 383630 460356 575445 767260 913259 1150890 1826518 2301780 2739777 3653036 4566295 5479554 9132590 10959108 11872367 13698885 18265180 23744734 27397770 35617101 47489468 54795540 59361835 71234202 118723670 142468404 154340771 178085505 207309793 237447340 308681542 356171010 414619586 463022313 617363084 621929379 712342020 771703855 829239172 926044626 1036548965 1243858758 1543407710 1852089252 2073097930 2315111565 2487717516 2695027309 3086815420 3109646895 4146195860 4630223130 5390054618 6219293790 8085081927 9260446260 10780109236 12438587580 13475136545 16170163854 26950273090 32340327708 35035355017 40425409635 53900546180 70070710034 80850819270 105106065051 140141420068 161701638540 175176775085 210212130102 350353550170 420424260204 525530325255 700707100340 1051060650510 2102121301020