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103120023330 = 232510136730911
BaseRepresentation
bin110000000001001101…
…1101010111100100010
3100212011121111221122100
41200002123222330202
53142142211221310
6115212255551230
710310260510302
oct1400233527442
9325147457570
10103120023330
113a807623885
1217b9a82b516
1399550286ac
144dc358b602
152a380daec0
hex18026eaf22

103120023330 has 96 divisors (see below), whose sum is σ = 271513202688. Its totient is φ = 27151344000.

The previous prime is 103120023313. The next prime is 103120023337. The reversal of 103120023330 is 33320021301.

103120023330 is a `hidden beast` number, since 1 + 0 + 312 + 0 + 0 + 23 + 330 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (103120023337) 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, 3320575 + ... + 3351485.

It is an arithmetic number, because the mean of its divisors is an integer number (2828262528).

Almost surely, 2103120023330 is an apocalyptic number.

103120023330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103120023330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135756601344).

103120023330 is an abundant number, since it is smaller than the sum of its proper divisors (168393179358).

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

103120023330 is a wasteful number, since it uses less digits than its factorization.

103120023330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31392 (or 31389 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103120023330 its reverse (33320021301), we get a palindrome (136440044631).

The spelling of 103120023330 in words is "one hundred three billion, one hundred twenty million, twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 367 505 606 734 909 1010 1101 1515 1818 1835 2202 3030 3303 3670 4545 5505 6606 9090 11010 16515 30911 33030 37067 61822 74134 92733 111201 154555 185335 185466 222402 278199 309110 333603 370670 463665 556005 556398 667206 927330 1112010 1390995 1668015 2781990 3122011 3336030 6244022 9366033 11344337 15610055 18732066 22688674 28098099 31220110 34033011 46830165 56196198 56721685 68066022 93660330 102099033 113443370 140490495 170165055 204198066 280980990 340330110 510495165 1020990330 1145778037 2291556074 3437334111 5728890185 6874668222 10312002333 11457780370 17186670555 20624004666 34373341110 51560011665 103120023330