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213212213032 = 23713253425071
BaseRepresentation
bin1100011010010001110…
…0000010111100101000
3202101100010101122111211
43012210130002330220
511443124311304112
6241540501402504
721255411623350
oct3064434027450
9671303348454
10213212213032
1182471810425
12353a4409434
131714b663100
14a468acbb60
15582d3440a7
hex31a4702f28

213212213032 has 96 divisors (see below), whose sum is σ = 504067380480. Its totient is φ = 82756028160.

The previous prime is 213212213023. The next prime is 213212213069. The reversal of 213212213032 is 230312212312.

It is a junction number, because it is equal to n+sod(n) for n = 213212212994 and 213212213012.

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, 289057 + ... + 714127.

It is an arithmetic number, because the mean of its divisors is an integer number (5250701880).

Almost surely, 2213212213032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213212213032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252033690240).

213212213032 is an abundant number, since it is smaller than the sum of its proper divisors (290855167448).

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

213212213032 is a wasteful number, since it uses less digits than its factorization.

213212213032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425163 (or 425146 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 213212213032 its reverse (230312212312), we get a palindrome (443524425344).

The spelling of 213212213032 in words is "two hundred thirteen billion, two hundred twelve million, two hundred thirteen thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 53 56 91 104 106 169 182 212 338 364 371 424 676 689 728 742 1183 1352 1378 1484 2366 2756 2968 4732 4823 5512 8957 9464 9646 17914 19292 35828 38584 62699 71656 125398 250796 425071 501592 850142 1700284 2975497 3400568 5525923 5950994 11051846 11901988 22103692 22528763 23803976 38681461 44207384 45057526 71836999 77362922 90115052 143673998 154725844 157701341 180230104 287347996 292873919 309451688 315402682 502858993 574695992 585747838 630805364 1005717986 1171495676 1261610728 2011435972 2050117433 2342991352 3807360947 4022871944 4100234866 7614721894 8200469732 15229443788 16400939464 26651526629 30458887576 53303053258 106606106516 213212213032