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2101411020 = 2235191939551
BaseRepresentation
bin111110101000000…
…1111110011001100
312102110011201222210
41331100033303030
513300430123040
6544304310420
7103034461512
oct17520176314
95373151883
102101411020
11989212225
124a7912410
13276493197
1415d1364b2
15c4745480
hex7d40fccc

2101411020 has 96 divisors (see below), whose sum is σ = 6226375680. Its totient is φ = 528076800.

The previous prime is 2101411019. The next prime is 2101411027. The reversal of 2101411020 is 201141012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2101410987 and 2101411005.

It is not an unprimeable number, because it can be changed into a prime (2101411027) by changing a digit.

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, 215245 + ... + 224795.

It is an arithmetic number, because the mean of its divisors is an integer number (64858080).

Almost surely, 22101411020 is an apocalyptic number.

2101411020 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 2101411020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113187840).

2101411020 is an abundant number, since it is smaller than the sum of its proper divisors (4124964660).

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

2101411020 is a wasteful number, since it uses less digits than its factorization.

2101411020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9775 (or 9773 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2101411020 is about 45841.1498546884. The cubic root of 2101411020 is about 1280.8659139185.

Adding to 2101411020 its reverse (201141012), we get a palindrome (2302552032).

The spelling of 2101411020 in words is "two billion, one hundred one million, four hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 193 228 285 380 386 570 579 772 965 1140 1158 1930 2316 2895 3667 3860 5790 7334 9551 11001 11580 14668 18335 19102 22002 28653 36670 38204 44004 47755 55005 57306 73340 95510 110010 114612 143265 181469 191020 220020 286530 362938 544407 573060 725876 907345 1088814 1814690 1843343 2177628 2722035 3629380 3686686 5444070 5530029 7373372 9216715 10888140 11060058 18433430 22120116 27650145 35023517 36866860 55300290 70047034 105070551 110600580 140094068 175117585 210141102 350235170 420282204 525352755 700470340 1050705510 2101411020