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2314101020 = 2257113148473
BaseRepresentation
bin1000100111101110…
…0110000100011100
312222021101111211012
42021323212010130
514214402213040
61021343114352
7111226351130
oct21173460434
95867344735
102314101020
11a88282390
12546ba29b8
132ab57155a
1417d49d3c0
15d8259865
hex89ee611c

2314101020 has 96 divisors (see below), whose sum is σ = 6254309376. Its totient is φ = 697996800.

The previous prime is 2314101019. The next prime is 2314101037. The reversal of 2314101020 is 201014132.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2314100986 and 2314101004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23504 + ... + 71976.

It is an arithmetic number, because the mean of its divisors is an integer number (65149056).

Almost surely, 22314101020 is an apocalyptic number.

2314101020 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 2314101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3127154688).

2314101020 is an abundant number, since it is smaller than the sum of its proper divisors (3940208356).

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

2314101020 is a wasteful number, since it uses less digits than its factorization.

2314101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48531 (or 48529 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2314101020 is about 48105.1038872176. The cubic root of 2314101020 is about 1322.6982265585.

Adding to 2314101020 its reverse (201014132), we get a palindrome (2515115152).

The spelling of 2314101020 in words is "two billion, three hundred fourteen million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 31 35 44 55 62 70 77 110 124 140 154 155 217 220 308 310 341 385 434 620 682 770 868 1085 1364 1540 1705 2170 2387 3410 4340 4774 6820 9548 11935 23870 47740 48473 96946 193892 242365 339311 484730 533203 678622 969460 1066406 1357244 1502663 1696555 2132812 2666015 3005326 3393110 3732421 5332030 6010652 6786220 7464842 7513315 10518641 10664060 14929684 15026630 16529293 18662105 21037282 30053260 33058586 37324210 42074564 52593205 66117172 74648420 82646465 105186410 115705051 165292930 210372820 231410102 330585860 462820204 578525255 1157050510 2314101020