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2120231400 = 233527504817
BaseRepresentation
bin111111001100000…
…0010100111101000
312110202120220200220
41332120002213220
513320234401100
6550215530040
7103353445440
oct17630024750
95422526626
102120231400
119988a7261
124b2089920
1327a3526c1
14161835120
15c6211aa0
hex7e6029e8

2120231400 has 96 divisors (see below), whose sum is σ = 7511691840. Its totient is φ = 484623360.

The previous prime is 2120231389. The next prime is 2120231411. The reversal of 2120231400 is 41320212.

It is an interprime number because it is at equal distance from previous prime (2120231389) and next prime (2120231411).

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 2120231400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248209 + ... + 256608.

It is an arithmetic number, because the mean of its divisors is an integer number (78246790).

Almost surely, 22120231400 is an apocalyptic number.

2120231400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120231400 is an abundant number, since it is smaller than the sum of its proper divisors (5391460440).

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

2120231400 is a wasteful number, since it uses less digits than its factorization.

2120231400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504843 (or 504834 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2120231400 is about 46045.9705077437. The cubic root of 2120231400 is about 1284.6783955978.

Adding to 2120231400 its reverse (41320212), we get a palindrome (2161551612).

The spelling of 2120231400 in words is "two billion, one hundred twenty million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 504817 1009634 1514451 2019268 2524085 3028902 3533719 4038536 5048170 6057804 7067438 7572255 10096340 10601157 12115608 12620425 14134876 15144510 17668595 20192680 21202314 25240850 28269752 30289020 35337190 37861275 42404628 50481700 53005785 60578040 70674380 75722550 84809256 88342975 100963400 106011570 141348760 151445100 176685950 212023140 265028925 302890200 353371900 424046280 530057850 706743800 1060115700 2120231400