Search a number
-
+
123030011203110 = 232511314008798019
BaseRepresentation
bin11011111110010100101000…
…000111010100111000100110
3121010121112222000102101112200
4123332110220013110320212
5112111210430331444420
61113355112404355330
734625424240360234
oct3376245007247046
9533545860371480
10123030011203110
1136223809a35a90
12119700599a5b46
1353858ac74500b
142254981a89954
15e3545d987b90
hex6fe5281d4e26

123030011203110 has 96 divisors (see below), whose sum is σ = 360214554885120. Its totient is φ = 28863345729600.

The previous prime is 123030011203007. The next prime is 123030011203117. The reversal of 123030011203110 is 11302110030321.

123030011203110 is a `hidden beast` number, since 1 + 2 + 30 + 300 + 1 + 1 + 20 + 311 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123030011203117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2004368320 + ... + 2004429699.

It is an arithmetic number, because the mean of its divisors is an integer number (3752234946720).

Almost surely, 2123030011203110 is an apocalyptic number.

123030011203110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123030011203110 is an abundant number, since it is smaller than the sum of its proper divisors (237184543682010).

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

123030011203110 is a wasteful number, since it uses less digits than its factorization.

123030011203110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4008798074 (or 4008798071 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 123030011203110 its reverse (11302110030321), we get a palindrome (134332121233431).

The spelling of 123030011203110 in words is "one hundred twenty-three trillion, thirty billion, eleven million, two hundred three thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 31 33 45 55 62 66 90 93 99 110 155 165 186 198 279 310 330 341 465 495 558 682 930 990 1023 1395 1705 2046 2790 3069 3410 5115 6138 10230 15345 30690 4008798019 8017596038 12026394057 20043990095 24052788114 36079182171 40087980190 44096778209 60131970285 72158364342 88193556418 120263940570 124272738589 132290334627 180395910855 220483891045 248545477178 264580669254 360791821710 372818215767 396871003881 440967782090 621363692945 661451673135 745636431534 793742007762 1118454647301 1242727385890 1322903346270 1367000124479 1864091078835 1984355019405 2236909294602 2734000248958 3728182157670 3968710038810 4101000373437 5592273236505 6835000622395 8202000746874 11184546473010 12303001120311 13670001244790 20505001867185 24606002240622 41010003734370 61515005601555 123030011203110