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213122303020 = 2251117320317791
BaseRepresentation
bin1100011001111100010…
…1000100010000101100
3202101002212012202011101
43012133011010100230
511442433302144040
6241523530332444
721253240454134
oct3063705042054
9671085182141
10213122303020
1182425a90730
123537a28a124
1317135b43113
14a45aba5ac4
1558254d409a
hex319f14442c

213122303020 has 96 divisors (see below), whose sum is σ = 517154512896. Its totient is φ = 72913382400.

The previous prime is 213122302949. The next prime is 213122303027. The reversal of 213122303020 is 20303221312.

213122303020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2131223030202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213122303027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11970325 + ... + 11988115.

It is an arithmetic number, because the mean of its divisors is an integer number (5387026176).

Almost surely, 2213122303020 is an apocalyptic number.

213122303020 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 213122303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258577256448).

213122303020 is an abundant number, since it is smaller than the sum of its proper divisors (304032209876).

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

213122303020 is a wasteful number, since it uses less digits than its factorization.

213122303020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21031 (or 21029 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 213122303020 its reverse (20303221312), we get a palindrome (233425524332).

The spelling of 213122303020 in words is "two hundred thirteen billion, one hundred twenty-two million, three hundred three thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3203 3740 6406 12812 16015 17791 32030 35233 35582 54451 64060 70466 71164 88955 108902 140932 176165 177910 195701 217804 272255 302447 352330 355820 391402 544510 598961 604894 704660 782804 978505 1089020 1197922 1209788 1512235 1957010 2395844 2994805 3024470 3326917 3914020 5989610 6048940 6653834 11979220 13307668 16634585 33269170 56984573 66538340 113969146 227938292 284922865 569845730 626830303 968737741 1139691460 1253660606 1937475482 2507321212 3134151515 3874950964 4843688705 6268303030 9687377410 10656115151 12536606060 19374754820 21312230302 42624460604 53280575755 106561151510 213122303020