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11301133100124 = 22371318391224079
BaseRepresentation
bin1010010001110100000000…
…0001100010010001011100
31111000101012101201011012210
42210131000001202101130
52440124210033200444
640011400251000420
72244323420251620
oct244350001422134
944011171634183
1011301133100124
11366786901909a
12132629a739110
1363c8ccc226ba
142b0d98d91180
15148e7d58b7b9
hexa474006245c

11301133100124 has 96 divisors (see below), whose sum is σ = 30402621849600. Its totient is φ = 3200425375680.

The previous prime is 11301133100123. The next prime is 11301133100171. The reversal of 11301133100124 is 42100133110311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 11301133100124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11301133100123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8620317 + ... + 9844395.

It is an arithmetic number, because the mean of its divisors is an integer number (316693977600).

Almost surely, 211301133100124 is an apocalyptic number.

11301133100124 is a gapful number since it is divisible by the number (14) 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 11301133100124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15201310924800).

11301133100124 is an abundant number, since it is smaller than the sum of its proper divisors (19101488749476).

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

11301133100124 is a wasteful number, since it uses less digits than its factorization.

11301133100124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225063 (or 1225061 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 11301133100124 its reverse (42100133110311), we get a palindrome (53401266210435).

The spelling of 11301133100124 in words is "eleven trillion, three hundred one billion, one hundred thirty-three million, one hundred thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 393 524 786 839 917 1572 1678 1834 2517 2751 3356 3668 5034 5502 5873 10068 11004 11746 17619 23492 35238 70476 109909 219818 329727 439636 659454 769363 1224079 1318908 1538726 2308089 2448158 3077452 3672237 4616178 4896316 7344474 8568553 9232356 14688948 17137106 25705659 34274212 51411318 102822636 160354349 320708698 481063047 641417396 962126094 1027002281 1122480443 1924252188 2054004562 2244960886 3081006843 3367441329 4108009124 4489921772 6162013686 6734882658 7189015967 12324027372 13469765316 14378031934 21567047901 28756063868 43134095802 86268191604 134537298811 269074597622 403611896433 538149195244 807223792866 941761091677 1614447585732 1883522183354 2825283275031 3767044366708 5650566550062 11301133100124