Search a number
-
+
10333002041124 = 2237261288084143
BaseRepresentation
bin1001011001011101011011…
…1010101000011100100100
31100120211021200022200011220
42112113112322220130210
52323243442010303444
633550525434300340
72114351265112200
oct226272672503444
940524250280156
1010333002041124
1133242242a9274
1211aa7315876b0
1359c5232997c9
1427a197293b00
1512dbb9a74619
hex965d6ea8724

10333002041124 has 72 divisors (see below), whose sum is σ = 28506502217088. Its totient is φ = 2903888151360.

The previous prime is 10333002041101. The next prime is 10333002041137. The reversal of 10333002041124 is 42114020033301.

It is a happy number.

10333002041124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10333002041094 and 10333002041103.

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, 144006204 + ... + 144077939.

It is an arithmetic number, because the mean of its divisors is an integer number (395923641904).

Almost surely, 210333002041124 is an apocalyptic number.

10333002041124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10333002041124 is an abundant number, since it is smaller than the sum of its proper divisors (18173500175964).

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

10333002041124 is a wasteful number, since it uses less digits than its factorization.

10333002041124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288084225 (or 288084216 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10333002041124 its reverse (42114020033301), we get a palindrome (52447022074425).

The spelling of 10333002041124 in words is "ten trillion, three hundred thirty-three billion, two million, forty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 61 84 98 122 147 183 196 244 294 366 427 588 732 854 1281 1708 2562 2989 5124 5978 8967 11956 17934 35868 288084143 576168286 864252429 1152336572 1728504858 2016589001 3457009716 4033178002 6049767003 8066356004 12099534006 14116123007 17573132723 24199068012 28232246014 35146265446 42348369021 52719398169 56464492028 70292530892 84696738042 105438796338 123011929061 169393476084 210877592676 246023858122 369035787183 492047716244 738071574366 861083503427 1476143148732 1722167006854 2583250510281 3444334013708 5166501020562 10333002041124