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2110132320 = 253519922091
BaseRepresentation
bin111110111000110…
…0001000001100000
312110001120211100220
41331301201001200
513310143213240
6545215243040
7103201554162
oct17561410140
95401524326
102110132320
1199312970a
124aa819480
13278227a0a
14160366932
15c53b95d0
hex7dc61060

2110132320 has 96 divisors (see below), whose sum is σ = 6680620800. Its totient is φ = 559848960.

The previous prime is 2110132303. The next prime is 2110132333. The reversal of 2110132320 is 232310112.

It is a tau number, because it is divible by the number of its divisors (96).

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 2110132320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84475 + ... + 106565.

It is an arithmetic number, because the mean of its divisors is an integer number (69589800).

Almost surely, 22110132320 is an apocalyptic number.

2110132320 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 2110132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340310400).

2110132320 is an abundant number, since it is smaller than the sum of its proper divisors (4570488480).

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

2110132320 is a wasteful number, since it uses less digits than its factorization.

2110132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22308 (or 22300 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2110132320 is about 45936.1765931820. The cubic root of 2110132320 is about 1282.6354230043.

Adding to 2110132320 its reverse (232310112), we get a palindrome (2342442432).

The spelling of 2110132320 in words is "two billion, one hundred ten million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 199 240 398 480 597 796 995 1194 1592 1990 2388 2985 3184 3980 4776 5970 6368 7960 9552 11940 15920 19104 22091 23880 31840 44182 47760 66273 88364 95520 110455 132546 176728 220910 265092 331365 353456 441820 530184 662730 706912 883640 1060368 1325460 1767280 2120736 2650920 3534560 4396109 5301840 8792218 10603680 13188327 17584436 21980545 26376654 35168872 43961090 52753308 65941635 70337744 87922180 105506616 131883270 140675488 175844360 211013232 263766540 351688720 422026464 527533080 703377440 1055066160 2110132320