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32230213102100 = 22521375013330509
BaseRepresentation
bin1110101010000001011100…
…11001110010101000010100
311020010011210222002220110002
413111000232121302220110
513211024434023231400
6152314204441550432
76534361504104116
oct725005631625024
9136104728086402
1032230213102100
11a2a6836068902
1237465211a5418
1314ca3b057b6a0
147d5d447993b6
153ad5ad8eaed5
hex1d502e672a14

32230213102100 has 72 divisors (see below), whose sum is σ = 75320760751320. Its totient is φ = 11900191726080.

The previous prime is 32230213102091. The next prime is 32230213102117. The reversal of 32230213102100 is 120131203223.

32230213102100 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 16640492684176 + 15589720417924 = 4079276^2 + 3948382^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 97351646 + ... + 97682154.

Almost surely, 232230213102100 is an apocalyptic number.

It is an amenable number.

32230213102100 is an abundant number, since it is smaller than the sum of its proper divisors (43090547649220).

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

32230213102100 is a wasteful number, since it uses less digits than its factorization.

32230213102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405549 (or 405542 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 32230213102100 its reverse (120131203223), we get a palindrome (32350344305323).

The spelling of 32230213102100 in words is "thirty-two trillion, two hundred thirty billion, two hundred thirteen million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 75013 150026 300052 330509 375065 661018 750130 975169 1322036 1500260 1652545 1875325 1950338 3305090 3750650 3900676 4296617 4875845 6610180 7501300 8262725 8593234 9751690 16525450 17186468 19503380 21483085 24379225 33050900 42966170 48758450 85932340 97516900 107415425 214830850 429661700 24792471617 49584943234 99169886468 123962358085 247924716170 322302131021 495849432340 619811790425 644604262042 1239623580850 1289208524084 1611510655105 2479247161700 3223021310210 6446042620420 8057553275525 16115106551050 32230213102100