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2131020210 = 23511171013761
BaseRepresentation
bin111111100000100…
…1100100110110010
312111111220001011110
41333001030212302
513331020121320
6551243054150
7103544241624
oct17701144662
95444801143
102131020210
119a39a6030
124b5811356
1327c65c307
14163042c14
15c71435e0
hex7f04c9b2

2131020210 has 128 divisors (see below), whose sum is σ = 5967675648. Its totient is φ = 481280000.

The previous prime is 2131020169. The next prime is 2131020211. The reversal of 2131020210 is 120201312.

It is not an unprimeable number, because it can be changed into a prime (2131020211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 564730 + ... + 568490.

It is an arithmetic number, because the mean of its divisors is an integer number (46622466).

Almost surely, 22131020210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131020210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983837824).

2131020210 is an abundant number, since it is smaller than the sum of its proper divisors (3836655438).

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

2131020210 is a wasteful number, since it uses less digits than its factorization.

2131020210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3900.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2131020210 is about 46162.9744492272. The cubic root of 2131020210 is about 1286.8537412074.

Adding to 2131020210 its reverse (120201312), we get a palindrome (2251221522).

The spelling of 2131020210 in words is "two billion, one hundred thirty-one million, twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 101 102 110 165 170 187 202 255 303 330 374 505 510 561 606 935 1010 1111 1122 1515 1717 1870 2222 2805 3030 3333 3434 3761 5151 5555 5610 6666 7522 8585 10302 11110 11283 16665 17170 18805 18887 22566 25755 33330 37610 37774 41371 51510 56415 56661 63937 82742 94435 112830 113322 124113 127874 188870 191811 206855 248226 283305 319685 379861 383622 413710 566610 620565 639370 703307 759722 959055 1139583 1241130 1406614 1899305 1918110 2109921 2279166 3516535 3798610 4178471 4219842 5697915 6457637 7033070 8356942 10549605 11395830 12535413 12915274 19372911 20892355 21099210 25070826 32288185 38745822 41784710 62677065 64576370 71034007 96864555 125354130 142068014 193729110 213102021 355170035 426204042 710340070 1065510105 2131020210