Search a number
-
+
10332140200333 = 723235127296803
BaseRepresentation
bin1001011001011010001110…
…0010111110000110001101
31100120202001121121121212121
42112112203202332012031
52323240210342402313
633550304130132541
72114321031433630
oct226264342760615
940522047547777
1010332140200333
11332392186a556
1211aa530a21151
1359c416873b43
1427a114a2bc17
1512db6908428d
hex965a38be18d

10332140200333 has 16 divisors (see below), whose sum is σ = 12326799937536. Its totient is φ = 8467467980400.

The previous prime is 10332140200321. The next prime is 10332140200351. The reversal of 10332140200333 is 33300204123301.

10332140200333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10332140200333 is a prime.

It is a super-2 number, since 2×103321402003332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10332140200298 and 10332140200307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10332140200633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13269891 + ... + 14026912.

It is an arithmetic number, because the mean of its divisors is an integer number (770424996096).

Almost surely, 210332140200333 is an apocalyptic number.

It is an amenable number.

10332140200333 is a deficient number, since it is larger than the sum of its proper divisors (1994659737203).

10332140200333 is a wasteful number, since it uses less digits than its factorization.

10332140200333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27299184.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 10332140200333 its reverse (33300204123301), we get a palindrome (43632344323634).

The spelling of 10332140200333 in words is "ten trillion, three hundred thirty-two billion, one hundred forty million, two hundred thousand, three hundred thirty-three".

Divisors: 1 7 23 161 2351 16457 54073 378511 27296803 191077621 627826469 4394785283 64174783853 449223486971 1476020028619 10332140200333