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2130022410 = 23523109127223
BaseRepresentation
bin111111011110101…
…1001000000001010
312111110000100102220
41332331121000022
513330241204120
6551205434510
7103532614605
oct17675310012
95443010386
102130022410
119a33843aa
124b540ba36
1327c3a00b9
14162c6333c
15c6ee7b40
hex7ef5900a

2130022410 has 128 divisors (see below), whose sum is σ = 5449973760. Its totient is φ = 531691776.

The previous prime is 2130022409. The next prime is 2130022439. The reversal of 2130022410 is 142200312.

2130022410 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 2130022410.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9551559 + ... + 9551781.

It is an arithmetic number, because the mean of its divisors is an integer number (42577920).

Almost surely, 22130022410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130022410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724986880).

2130022410 is an abundant number, since it is smaller than the sum of its proper divisors (3319951350).

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

2130022410 is a wasteful number, since it uses less digits than its factorization.

2130022410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492.

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

The square root of 2130022410 is about 46152.1658213350. The cubic root of 2130022410 is about 1286.6528635380.

Adding to 2130022410 its reverse (142200312), we get a palindrome (2272222722).

The spelling of 2130022410 in words is "two billion, one hundred thirty million, twenty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 109 115 127 138 218 223 230 254 327 345 381 446 545 635 654 669 690 762 1090 1115 1270 1338 1635 1905 2230 2507 2921 3270 3345 3810 5014 5129 5842 6690 7521 8763 10258 12535 13843 14605 15042 15387 17526 24307 25070 25645 27686 28321 29210 30774 37605 41529 43815 48614 51290 56642 69215 72921 75210 76935 83058 84963 87630 121535 138430 141605 145842 153870 169926 207645 243070 283210 318389 364605 415290 424815 559061 636778 651383 729210 849630 955167 1118122 1302766 1591945 1677183 1910334 1954149 2795305 3086989 3183890 3256915 3354366 3908298 4775835 5590610 6173978 6513830 8385915 9260967 9551670 9770745 15434945 16771830 18521934 19541490 30869890 46304835 71000747 92609670 142001494 213002241 355003735 426004482 710007470 1065011205 2130022410