Search a number
-
+
1123332033120 = 253511212752279
BaseRepresentation
bin10000010110001011110…
…011101000101001100000
310222101111221101212010120
4100112023303220221200
5121401041000024440
62220015052000240
7144105133510503
oct20261363505140
93871457355116
101123332033120
113a34477138a0
12161861760080
1381c1189c72b
143c52610713a
151e348eeadd0
hex1058bce8a60

1123332033120 has 96 divisors (see below), whose sum is σ = 3860177368320. Its totient is φ = 272322915840.

The previous prime is 1123332033097. The next prime is 1123332033133. The reversal of 1123332033120 is 213302333211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 106370860 + ... + 106381419.

It is an arithmetic number, because the mean of its divisors is an integer number (40210180920).

Almost surely, 21123332033120 is an apocalyptic number.

1123332033120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1123332033120 is an abundant number, since it is smaller than the sum of its proper divisors (2736845335200).

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

1123332033120 is a wasteful number, since it uses less digits than its factorization.

1123332033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212752308 (or 212752300 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1123332033120 its reverse (213302333211), we get a palindrome (1336634366331).

The spelling of 1123332033120 in words is "one trillion, one hundred twenty-three billion, three hundred thirty-two million, thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 212752279 425504558 638256837 851009116 1063761395 1276513674 1702018232 2127522790 2340275069 2553027348 3191284185 3404036464 4255045580 4680550138 5106054696 6382568370 6808072928 7020825207 8510091160 9361100276 10212109392 11701375345 12765136740 14041650414 17020182320 18722200552 20424218784 23402750690 25530273480 28083300828 34040364640 35104126035 37444401104 46805501380 51060546960 56166601656 70208252070 74888802208 93611002760 102121093920 112333203312 140416504140 187222005520 224666406624 280833008280 374444011040 561666016560 1123332033120