Search a number
-
+
11031113301320 = 2357523160946817
BaseRepresentation
bin1010000010000110000110…
…0101101111110101001000
31110001120020020211010222202
42200201201211233311020
52421213210001120240
635243342401335332
72215654161654530
oct240414145576510
943046206733882
1011031113301320
1135732a5972782
1212a1aa1637548
136202ca346218
142a1ca17c24c0
15141e27de5315
hexa086196fd48

11031113301320 has 128 divisors (see below), whose sum is σ = 28438227014400. Its totient is φ = 3772437774336.

The previous prime is 11031113301281. The next prime is 11031113301347. The reversal of 11031113301320 is 2310331113011.

It is a super-2 number, since 2×110311133013202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11031113301292 and 11031113301301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235598552 + ... + 235645368.

It is an arithmetic number, because the mean of its divisors is an integer number (222173648550).

Almost surely, 211031113301320 is an apocalyptic number.

11031113301320 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 11031113301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14219113507200).

11031113301320 is an abundant number, since it is smaller than the sum of its proper divisors (17407113713080).

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

11031113301320 is a wasteful number, since it uses less digits than its factorization.

11031113301320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48967 (or 48963 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 11031113301320 its reverse (2310331113011), we get a palindrome (13341444414331).

The spelling of 11031113301320 in words is "eleven trillion, thirty-one billion, one hundred thirteen million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 523 1046 1609 2092 2615 3218 3661 4184 5230 6436 7322 8045 10460 11263 12872 14644 16090 18305 20920 22526 29288 32180 36610 45052 46817 56315 64360 73220 90104 93634 112630 146440 187268 225260 234085 327719 374536 450520 468170 655438 841507 936340 1310876 1638595 1683014 1872680 2621752 3277190 3366028 4207535 5890549 6554380 6732056 8415070 11781098 13108760 16830140 23562196 24485291 29452745 33660280 47124392 48970582 58905490 75328553 97941164 117810980 122426455 150657106 171397037 195882328 235621960 244852910 301314212 342794074 376642765 489705820 527299871 602628424 685588148 753285530 856985185 979411640 1054599742 1371176296 1506571060 1713970370 2109199484 2636499355 3013142120 3427940740 4218398968 5272998710 6855881480 10545997420 21091994840 39396833219 78793666438 157587332876 196984166095 275777832533 315174665752 393968332190 551555665066 787936664380 1103111330132 1378889162665 1575873328760 2206222660264 2757778325330 5515556650660 11031113301320