Search a number
-
+
11001113243010 = 23351113926648047
BaseRepresentation
bin1010000000010110010101…
…1100100110110110000010
31102221200210111102021122000
42200011211130212312002
52420220234442234020
635221501444124430
72213542561453632
oct240054534466602
942850714367560
1011001113243010
113561600699960
12129810a696716
1361a528c60727
142a06573606c2
1514126e2a9090
hexa0165726d82

11001113243010 has 128 divisors (see below), whose sum is σ = 32233478860800. Its totient is φ = 2647749850560.

The previous prime is 11001113242921. The next prime is 11001113243017. The reversal of 11001113243010 is 1034231110011.

It is a happy number.

11001113243010 is a `hidden beast` number, since 1 + 100 + 1 + 1 + 132 + 430 + 1 + 0 = 666.

It is a super-3 number, since 3×110011132430103 (a number of 40 digits) contains 333 as substring.

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 (11001113243017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12911194 + ... + 13736853.

It is an arithmetic number, because the mean of its divisors is an integer number (251824053600).

Almost surely, 211001113243010 is an apocalyptic number.

11001113243010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11001113243010 is an abundant number, since it is smaller than the sum of its proper divisors (21232365617790).

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

11001113243010 is a wasteful number, since it uses less digits than its factorization.

11001113243010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26648213 (or 26648207 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11001113243010 its reverse (1034231110011), we get a palindrome (12035344353021).

The spelling of 11001113243010 in words is "eleven trillion, one billion, one hundred thirteen million, two hundred forty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 139 165 198 270 278 297 330 417 495 594 695 834 990 1251 1390 1485 1529 2085 2502 2970 3058 3753 4170 4587 6255 7506 7645 9174 12510 13761 15290 18765 22935 27522 37530 41283 45870 68805 82566 137610 206415 412830 26648047 53296094 79944141 133240235 159888282 239832423 266480470 293128517 399720705 479664846 586257034 719497269 799441410 879385551 1199162115 1438994538 1465642585 1758771102 2398324230 2638156653 2931285170 3597486345 3704078533 4396927755 5276313306 7194972690 7408157066 7914469959 8793855510 11112235599 13190783265 15828939918 18520392665 22224471198 26381566530 33336706797 37040785330 39572349795 40744863863 55561177995 66673413594 79144699590 81489727726 100010120391 111122355990 122234591589 166683533985 200020240782 203724319315 244469183178 333367067970 366703774767 407448638630 500050601955 611172957945 733407549534 1000101203910 1100111324301 1222345915890 1833518873835 2200222648602 3667037747670 5500556621505 11001113243010