Search a number
-
+
2101314120 = 233519921629
BaseRepresentation
bin111110100111111…
…1000001001001000
312102102222211001220
41331033320021020
513300414022440
6544302242040
7103033606143
oct17517701110
95372884056
102101314120
11989156444
124a7886320
1327645b049
1415d10d05a
15c47268d0
hex7d3f8248

2101314120 has 64 divisors (see below), whose sum is σ = 6635736000. Its totient is φ = 530857728.

The previous prime is 2101314113. The next prime is 2101314143. The reversal of 2101314120 is 214131012.

It is a super-2 number, since 2×21013141202 = 8831042061822748800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2101314120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458535 + ... + 463094.

It is an arithmetic number, because the mean of its divisors is an integer number (103683375).

Almost surely, 22101314120 is an apocalyptic number.

2101314120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101314120 is an abundant number, since it is smaller than the sum of its proper divisors (4534421880).

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

2101314120 is a wasteful number, since it uses less digits than its factorization.

2101314120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921662 (or 921658 counting only the distinct ones).

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

The square root of 2101314120 is about 45840.0929318430. The cubic root of 2101314120 is about 1280.8462259067.

Adding to 2101314120 its reverse (214131012), we get a palindrome (2315445132).

The spelling of 2101314120 in words is "two billion, one hundred one million, three hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 921629 1843258 2764887 3686516 4608145 5529774 7373032 9216290 11059548 13824435 17510951 18432580 22119096 27648870 35021902 36865160 52532853 55297740 70043804 87554755 105065706 110595480 140087608 175109510 210131412 262664265 350219020 420262824 525328530 700438040 1050657060 2101314120