Search a number
-
+
32331213101022 = 23111761564783653
BaseRepresentation
bin1110101100111101100100…
…11110001101011111011110
311020110211111211102110022220
413112132302132031133132
513214203311023213042
6152432430530250210
76544565412660303
oct726366236153736
9136424454373286
1032331213101022
11a335654a169a0
123762009a26966
131506a882c7964
147daba65670aa
153b10208168ec
hex1d67b278d7de

32331213101022 has 128 divisors (see below), whose sum is σ = 75929071085568. Its totient is φ = 9068144486400.

The previous prime is 32331213100997. The next prime is 32331213101041. The reversal of 32331213101022 is 22010131213323.

It is a junction number, because it is equal to n+sod(n) for n = 32331213100983 and 32331213101001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 386450148 + ... + 386533800.

It is an arithmetic number, because the mean of its divisors is an integer number (593195867856).

Almost surely, 232331213101022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32331213101022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37964535542784).

32331213101022 is an abundant number, since it is smaller than the sum of its proper divisors (43597857984546).

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

32331213101022 is a wasteful number, since it uses less digits than its factorization.

32331213101022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89394.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 32331213101022 its reverse (22010131213323), we get a palindrome (54341344314345).

The spelling of 32331213101022 in words is "thirty-two trillion, three hundred thirty-one billion, two hundred thirteen million, one hundred one thousand, twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 61 66 102 122 183 187 366 374 561 671 1037 1122 1342 2013 2074 3111 4026 5647 6222 11294 11407 16941 22814 33882 34221 62117 68442 83653 95999 124234 167306 186351 191998 250959 287997 344467 372702 501918 575994 688934 920183 1033401 1055989 1422101 1840366 2066802 2111978 2760549 2844202 3167967 3789137 4266303 5102833 5521098 5855939 6335934 7578274 8532606 10205666 11367411 11711878 15308499 15643111 17567817 22734822 30616998 31286222 35135634 46929333 56131163 64415329 86748161 93858666 112262326 128830658 168393489 173496322 193245987 260244483 336786978 386491974 472388491 520488966 944776982 954229771 1417165473 1908459542 2834330946 2862689313 5196273401 5725378626 8030604347 10392546802 15588820203 16061208694 24091813041 28815697951 31177640406 48183626082 57631395902 86447093853 88336647817 172894187706 176673295634 265009943451 316972677461 489866865167 530019886902 633945354922 950918032383 979733730334 1469600595501 1901836064766 2939201191002 5388535516837 10777071033674 16165606550511 32331213101022