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2101013040 = 2435710311213
BaseRepresentation
bin111110100111010…
…1110101000110000
312102102102112001210
41331032232220300
513300324404130
6544252000120
7103031213310
oct17516565060
95372375053
102101013040
11988a70215
124a7760040
13276383ca9
1415d071440
15c46b75b0
hex7d3aea30

2101013040 has 160 divisors (see below), whose sum is σ = 7456951296. Its totient is φ = 479370240.

The previous prime is 2101013029. The next prime is 2101013063. The reversal of 2101013040 is 403101012.

It is a happy number.

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

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, 1731474 + ... + 1732686.

Almost surely, 22101013040 is an apocalyptic number.

2101013040 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 2101013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728475648).

2101013040 is an abundant number, since it is smaller than the sum of its proper divisors (5355938256).

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

2101013040 is a wasteful number, since it uses less digits than its factorization.

2101013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2101013040 is about 45836.8087894434. The cubic root of 2101013040 is about 1280.7850490146.

Adding to 2101013040 its reverse (403101012), we get a palindrome (2504114052).

The spelling of 2101013040 in words is "two billion, one hundred one million, thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1031 1213 1680 2062 2426 3093 3639 4124 4852 5155 6065 6186 7217 7278 8248 8491 9704 10310 12130 12372 14434 14556 15465 16496 16982 18195 19408 20620 21651 24260 24744 25473 28868 29112 30930 33964 36085 36390 41240 42455 43302 48520 49488 50946 57736 58224 61860 67928 72170 72780 82480 84910 86604 97040 101892 108255 115472 123720 127365 135856 144340 145560 169820 173208 203784 216510 247440 254730 288680 291120 339640 346416 407568 433020 509460 577360 679280 866040 1018920 1250603 1732080 2037840 2501206 3751809 5002412 6253015 7503618 8754221 10004824 12506030 15007236 17508442 18759045 20009648 25012060 26262663 30014472 35016884 37518090 43771105 50024120 52525326 60028944 70033768 75036180 87542210 100048240 105050652 131313315 140067536 150072360 175084420 210101304 262626630 300144720 350168840 420202608 525253260 700337680 1050506520 2101013040