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2101030140 = 22351113612339
BaseRepresentation
bin111110100111011…
…0010110011111100
312102102110101112010
41331032302303330
513300330431030
6544252211220
7103031314206
oct17516626374
95372411463
102101030140
11988a82050
124a7769b10
1327638ba01
1415d077776
15c46bc6b0
hex7d3b2cfc

2101030140 has 96 divisors (see below), whose sum is σ = 6425153280. Its totient is φ = 508748800.

The previous prime is 2101030133. The next prime is 2101030147. The reversal of 2101030140 is 410301012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2101030133) and next prime (2101030147).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101030147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 897091 + ... + 899429.

It is an arithmetic number, because the mean of its divisors is an integer number (66928680).

Almost surely, 22101030140 is an apocalyptic number.

2101030140 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 2101030140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212576640).

2101030140 is an abundant number, since it is smaller than the sum of its proper divisors (4324123140).

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

2101030140 is a wasteful number, since it uses less digits than its factorization.

2101030140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3723 (or 3721 counting only the distinct ones).

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

The square root of 2101030140 is about 45836.9953203741. The cubic root of 2101030140 is about 1280.7885237455.

Adding to 2101030140 its reverse (410301012), we get a palindrome (2511331152).

The spelling of 2101030140 in words is "two billion, one hundred one million, thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1361 2339 2722 4083 4678 5444 6805 7017 8166 9356 11695 13610 14034 14971 16332 20415 23390 25729 27220 28068 29942 35085 40830 44913 46780 51458 59884 70170 74855 77187 81660 89826 102916 128645 140340 149710 154374 179652 224565 257290 299420 308748 385935 449130 514580 771870 898260 1543740 3183379 6366758 9550137 12733516 15916895 19100274 31833790 35017169 38200548 47750685 63667580 70034338 95501370 105051507 140068676 175085845 191002740 210103014 350171690 420206028 525257535 700343380 1050515070 2101030140