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214201322130 = 235711933491493
BaseRepresentation
bin1100011101111101100…
…1001100101010010010
3202110220001120121010010
43013133121030222102
512002141014302010
6242222553415350
721322052124345
oct3073731145222
9673801517103
10214201322130
118292a075764
123561b70a556
1317278559073
14a52020245c
15588a0c3620
hex31df64ca92

214201322130 has 128 divisors (see below), whose sum is σ = 525878438400. Its totient is φ = 55826104320.

The previous prime is 214201322099. The next prime is 214201322233. The reversal of 214201322130 is 31223102412.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 214201322097 and 214201322106.

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, 143469664 + ... + 143471156.

It is an arithmetic number, because the mean of its divisors is an integer number (4108425300).

Almost surely, 2214201322130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214201322130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262939219200).

214201322130 is an abundant number, since it is smaller than the sum of its proper divisors (311677116270).

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

214201322130 is a wasteful number, since it uses less digits than its factorization.

214201322130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 214201322130 its reverse (31223102412), we get a palindrome (245424424542).

The spelling of 214201322130 in words is "two hundred fourteen billion, two hundred one million, three hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 71 142 193 213 349 355 386 426 579 698 710 965 1047 1065 1158 1493 1745 1930 2094 2130 2895 2986 3490 4479 5235 5790 7465 8958 10470 13703 14930 22395 24779 27406 41109 44790 49558 67357 68515 74337 82218 106003 123895 134714 137030 148674 202071 205545 212006 247790 288149 318009 336785 371685 404142 411090 521057 530015 576298 636018 673570 743370 864447 1010355 1042114 1060030 1440745 1563171 1590045 1728894 2020710 2605285 2881490 3126342 3180090 4322235 4782347 5210570 7815855 8644470 9564694 14347041 15631710 20458579 23911735 28694082 36995047 40917158 47823470 61375737 71735205 73990094 100564001 102292895 110985141 122751474 143470410 184975235 201128002 204585790 221970282 301692003 306878685 369950470 502820005 554925705 603384006 613757370 1005640010 1109851410 1508460015 3016920030 7140044071 14280088142 21420132213 35700220355 42840264426 71400440710 107100661065 214201322130