Search a number
-
+
1124001100332 = 2232112317813991
BaseRepresentation
bin10000010110110011101…
…011111011001000101100
310222110020120100222210200
4100112303223323020230
5121403423240202312
62220205312233500
7144130536466665
oct20266353731054
93873216328720
101124001100332
113a3760355a00
12161a0983b890
1381cba39b3a6
143c58ad0c36c
151e387b0d0dc
hex105b3afb22c

1124001100332 has 108 divisors (see below), whose sum is σ = 3132854965968. Its totient is φ = 339531508800.

The previous prime is 1124001100231. The next prime is 1124001100333. The reversal of 1124001100332 is 2330011004211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1124001100333) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 973857 + ... + 1787847.

Almost surely, 21124001100332 is an apocalyptic number.

1124001100332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1124001100332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566427482984).

1124001100332 is an abundant number, since it is smaller than the sum of its proper divisors (2008853865636).

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

1124001100332 is a wasteful number, since it uses less digits than its factorization.

1124001100332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814340 (or 814324 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1124001100332 its reverse (2330011004211), we get a palindrome (3454012104543).

The spelling of 1124001100332 in words is "one trillion, one hundred twenty-four billion, one million, one hundred thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 317 363 396 484 634 726 951 1089 1268 1452 1902 2178 2853 3487 3804 4356 5706 6974 10461 11412 13948 20922 31383 38357 41844 62766 76714 115071 125532 153428 230142 345213 460284 690426 813991 1380852 1627982 2441973 3255964 4883946 7325919 8953901 9767892 14651838 17907802 26861703 29303676 35815604 53723406 80585109 98492911 107446812 161170218 196985822 258035147 295478733 322340436 393971644 516070294 590957466 774105441 886436199 1032140588 1181914932 1548210882 1772872398 2322316323 2838386617 3096421764 3545744796 4644632646 5676773234 8515159851 9289265292 11353546468 17030319702 25545479553 31222252787 34060639404 51090959106 62444505574 93666758361 102181918212 124889011148 187333516722 281000275083 374667033444 562000550166 1124001100332