Search a number
-
+
332001201311130 = 23513291171880869
BaseRepresentation
bin100101101111101000000110…
…1101010110100110110011010
31121112112000010112222010101010
41023133100031222310312122
5322004001430013424010
63134035125112434350
7126634203160513221
oct11337201552646632
91545460115863333
10332001201311130
1196870a1198317a
12312a00826a89b6
131133376ac3b600
145bdad30023cb8
15285b1a6d0e620
hex12df40dab4d9a

332001201311130 has 96 divisors (see below), whose sum is σ = 863757336925440. Its totient is φ = 81633664170240.

The previous prime is 332001201311069. The next prime is 332001201311147. The reversal of 332001201311130 is 31113102100233.

It is a happy number.

It is a super-2 number, since 2×3320012013111302 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332001201311097 and 332001201311106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31321665 + ... + 40559204.

It is an arithmetic number, because the mean of its divisors is an integer number (8997472259640).

Almost surely, 2332001201311130 is an apocalyptic number.

332001201311130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

332001201311130 is an abundant number, since it is smaller than the sum of its proper divisors (531756135614310).

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

332001201311130 is a wasteful number, since it uses less digits than its factorization.

332001201311130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71881816 (or 71881803 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 332001201311130 its reverse (31113102100233), we get a palindrome (363114303411363).

The spelling of 332001201311130 in words is "three hundred thirty-two trillion, one billion, two hundred one million, three hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 845 911 1014 1690 1822 2535 2733 4555 5070 5466 9110 11843 13665 23686 27330 35529 59215 71058 118430 153959 177645 307918 355290 461877 769795 923754 1539590 2309385 4618770 71880869 143761738 215642607 359404345 431285214 718808690 934451297 1078213035 1868902594 2156426070 2803353891 4672256485 5606707782 9344512970 12147866861 14016769455 24295733722 28033538910 36443600583 60739334305 65483471659 72887201166 121478668610 130966943318 182218002915 196450414977 327417358295 364436005830 392900829954 654834716590 851285131567 982252074885 1702570263134 1964504149770 2553855394701 4256425657835 5107710789402 8512851315670 11066706710371 12769276973505 22133413420742 25538553947010 33200120131113 55333533551855 66400240262226 110667067103710 166000600655565 332001201311130