Search a number
-
+
1110131101120 = 26541320326417
BaseRepresentation
bin10000001001111000111…
…110000100110111000000
310221010102221112000210011
4100021320332010313000
5121142022030213440
62205553122114304
7143130040444336
oct20117076046700
93833387460704
101110131101120
1139889307a238
1215b1987ab994
13808b99a8472
143ba32bd5b56
151dd251089ea
hex10278f84dc0

1110131101120 has 112 divisors (see below), whose sum is σ = 2708923277088. Its totient is φ = 433070243840.

The previous prime is 1110131101117. The next prime is 1110131101127. The reversal of 1110131101120 is 211011310111.

It is a self number, because there is not a number n which added to its sum of digits gives 1110131101120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110131101127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42010152 + ... + 42036568.

It is an arithmetic number, because the mean of its divisors is an integer number (24186814974).

Almost surely, 21110131101120 is an apocalyptic number.

1110131101120 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 1110131101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354461638544).

1110131101120 is an abundant number, since it is smaller than the sum of its proper divisors (1598792175968).

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

1110131101120 is a wasteful number, since it uses less digits than its factorization.

1110131101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29678 (or 29668 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 1110131101120 its reverse (211011310111), we get a palindrome (1321142411231).

The spelling of 1110131101120 in words is "one trillion, one hundred ten billion, one hundred thirty-one million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1640 2624 3203 3280 6406 6560 12812 13120 16015 25624 26417 32030 51248 52834 64060 102496 105668 128120 131323 132085 204992 211336 256240 262646 264170 422672 512480 525292 528340 656615 845344 1024960 1050584 1056680 1083097 1313230 1690688 2101168 2113360 2166194 2626460 4202336 4226720 4332388 5252920 5415485 8404672 8453440 8664776 10505840 10830970 17329552 21011680 21661940 34659104 42023360 43323880 69318208 84613651 86647760 169227302 173295520 338454604 346591040 423068255 676909208 846136510 1353818416 1692273020 2707636832 3384546040 3469159691 5415273664 6769092080 6938319382 13538184160 13876638764 17345798455 27076368320 27753277528 34691596910 55506555056 69383193820 111013110112 138766387640 222026220224 277532775280 555065550560 1110131101120