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11322320133020 = 22513227535135851
BaseRepresentation
bin1010010011000010111011…
…0111101001101110011100
31111002101212221211221110212
42210300232313221232130
52441001102423224040
640025222502351552
72246003435126051
oct244605667515634
944071787757425
1011322320133020
1136758505a7536
12132a41212b5b8
136418c8501560
142b2008b8d028
151497bd630d65
hexa4c2ede9b9c

11322320133020 has 96 divisors (see below), whose sum is σ = 25724187449856. Its totient is φ = 4161238560000.

The previous prime is 11322320132983. The next prime is 11322320133037. The reversal of 11322320133020 is 2033102322311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315798095 + ... + 315833945.

It is an arithmetic number, because the mean of its divisors is an integer number (267960285936).

Almost surely, 211322320133020 is an apocalyptic number.

11322320133020 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 11322320133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12862093724928).

11322320133020 is an abundant number, since it is smaller than the sum of its proper divisors (14401867316836).

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

11322320133020 is a wasteful number, since it uses less digits than its factorization.

11322320133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41451 (or 41449 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 11322320133020 its reverse (2033102322311), we get a palindrome (13355422455331).

The spelling of 11322320133020 in words is "eleven trillion, three hundred twenty-two billion, three hundred twenty million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 227 260 454 908 1135 2270 2951 4540 5351 5902 10702 11804 14755 21404 26755 29510 35851 53510 59020 69563 71702 107020 139126 143404 179255 278252 347815 358510 466063 695630 717020 932126 1214677 1391260 1864252 2330315 2429354 4660630 4858708 6073385 8138177 9321260 12146770 15790801 16276354 24293540 31581602 32552708 40690885 63163204 78954005 81381770 105796301 157908010 162763540 191838701 211592602 315816020 383677402 423185204 528981505 767354804 959193505 1057963010 1918387010 2115926020 2493903113 3836774020 4987806226 9975612452 12469515565 24939031130 43547385127 49878062260 87094770254 174189540508 217736925635 435473851270 566116006651 870947702540 1132232013302 2264464026604 2830580033255 5661160066510 11322320133020