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1123033303134 = 23341839604579
BaseRepresentation
bin10000010101111010000…
…000000100100001011110
310222100202010021210122000
4100111322000010201132
5121344433011200014
62215525301103130
7144064545400551
oct20257200044136
93870663253560
101123033303134
113a3304027606
121617996b7aa6
1381b94a27a22
143c4d8584698
151e32cb8d509
hex1057a00485e

1123033303134 has 64 divisors (see below), whose sum is σ = 2559549888000. Its totient is φ = 364778182080.

The previous prime is 1123033303127. The next prime is 1123033303177. The reversal of 1123033303134 is 4313033303211.

1123033303134 is a `hidden beast` number, since 1 + 12 + 3 + 0 + 3 + 330 + 313 + 4 = 666.

It is a super-2 number, since 2×11230333031342 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1123033303098 and 1123033303107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1555257 + ... + 2159835.

It is an arithmetic number, because the mean of its divisors is an integer number (39992967000).

Almost surely, 21123033303134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123033303134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279774944000).

1123033303134 is an abundant number, since it is smaller than the sum of its proper divisors (1436516584866).

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

1123033303134 is a wasteful number, since it uses less digits than its factorization.

1123033303134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605470 (or 605464 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1123033303134 its reverse (4313033303211), we get a palindrome (5436066606345).

The spelling of 1123033303134 in words is "one trillion, one hundred twenty-three billion, thirty-three million, three hundred three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 839 1107 1678 2214 2517 5034 7551 15102 22653 34399 45306 68798 103197 206394 309591 604579 619182 928773 1209158 1813737 1857546 3627474 5441211 10882422 16323633 24787739 32647266 49575478 74363217 148726434 223089651 446179302 507241781 669268953 1014483562 1338537906 1521725343 3043450686 4565176029 9130352058 13695528087 20796913021 27391056174 41593826042 62390739063 124781478126 187172217189 374344434378 561516651567 1123033303134