Search a number
-
+
11042610700 = 225211431571487
BaseRepresentation
bin10100100100011000…
…01101111000001100
31001111120121202010111
422102030031320030
5140103402020300
65023425245404
7540434433202
oct122214157014
931446552114
1011042610700
1147572a1950
122182193864
13106c9c6594
1476a803072
154496a99ba
hex29230de0c

11042610700 has 144 divisors (see below), whose sum is σ = 26937275904. Its totient is φ = 3894508800.

The previous prime is 11042610673. The next prime is 11042610701. The reversal of 11042610700 is 701624011.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (11042610701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7425357 + ... + 7426843.

It is an arithmetic number, because the mean of its divisors is an integer number (187064416).

Almost surely, 211042610700 is an apocalyptic number.

11042610700 is a gapful number since it is divisible by the number (10) 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 11042610700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13468637952).

11042610700 is an abundant number, since it is smaller than the sum of its proper divisors (15894665204).

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

11042610700 is a wasteful number, since it uses less digits than its factorization.

11042610700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The spelling of 11042610700 in words is "eleven billion, forty-two million, six hundred ten thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 110 157 172 215 220 275 314 430 473 550 628 785 860 946 1075 1100 1487 1570 1727 1892 2150 2365 2974 3140 3454 3925 4300 4730 5948 6751 6908 7435 7850 8635 9460 11825 13502 14870 15700 16357 17270 23650 27004 29740 32714 33755 34540 37175 43175 47300 63941 65428 67510 74261 74350 81785 86350 127882 135020 148522 148700 163570 168775 172700 233459 255764 297044 319705 327140 337550 371305 408925 466918 639410 675100 703351 742610 817850 933836 1167295 1278820 1406702 1485220 1598525 1635700 1856525 2334590 2568049 2813404 3197050 3516755 3713050 4669180 5136098 5836475 6394100 7033510 7426100 10038737 10272196 11672950 12840245 14067020 17583775 20077474 23345900 25680490 35167550 40154948 50193685 51360980 64201225 70335100 100387370 110426107 128402450 200774740 220852214 250968425 256804900 441704428 501936850 552130535 1003873700 1104261070 2208522140 2760652675 5521305350 11042610700