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2041210101040 = 2451117411332313
BaseRepresentation
bin11101101101000001100…
…110100101110100110000
321020010201102220220000121
4131231001212211310300
5231420344241213130
64201415144300024
7300321042404155
oct35550146456460
97203642826017
102041210101040
11717743984730
1228b725171614
1311a640236946
1470b1ba5a22c
153816ad47d7a
hex1db419a5d30

2041210101040 has 80 divisors (see below), whose sum is σ = 5180228685216. Its totient is φ = 741831321600.

The previous prime is 2041210101023. The next prime is 2041210101041. The reversal of 2041210101040 is 401010121402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2041210101041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 865924 + ... + 2198236.

Almost surely, 22041210101040 is an apocalyptic number.

2041210101040 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 2041210101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590114342608).

2041210101040 is an abundant number, since it is smaller than the sum of its proper divisors (3139018584176).

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

2041210101040 is a wasteful number, since it uses less digits than its factorization.

2041210101040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334078 (or 1334072 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2041210101040 its reverse (401010121402), we get a palindrome (2442220222442).

The spelling of 2041210101040 in words is "two trillion, forty-one billion, two hundred ten million, one hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1741 3482 6964 8705 13928 17410 19151 27856 34820 38302 69640 76604 95755 139280 153208 191510 306416 383020 766040 1332313 1532080 2664626 5329252 6661565 10658504 13323130 14655443 21317008 26646260 29310886 53292520 58621772 73277215 106585040 117243544 146554430 234487088 293108860 586217720 1172435440 2319556933 4639113866 9278227732 11597784665 18556455464 23195569330 25515126263 37112910928 46391138660 51030252526 92782277320 102060505052 127575631315 185564554640 204121010104 255151262630 408242020208 510302525260 1020605050520 2041210101040