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2330123100 = 2235223379127
BaseRepresentation
bin1000101011100010…
…1101101101011100
320000101112111222120
42022320231231130
514233002414400
61023114342540
7111512501544
oct21270555534
96011474876
102330123100
11a96325a78
1255042aa50
132b1991186
14181670324
15d9871ca0
hex8ae2db5c

2330123100 has 144 divisors (see below), whose sum is σ = 7225870848. Its totient is φ = 578223360.

The previous prime is 2330123099. The next prime is 2330123101. The reversal of 2330123100 is 13210332.

It is an interprime number because it is at equal distance from previous prime (2330123099) and next prime (2330123101).

It is a super-2 number, since 2×23301231002 = 10858947322307220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2330123100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330123101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 250737 + ... + 259863.

Almost surely, 22330123100 is an apocalyptic number.

2330123100 is a gapful number since it is divisible by the number (20) 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 2330123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612935424).

2330123100 is an abundant number, since it is smaller than the sum of its proper divisors (4895747748).

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

2330123100 is a wasteful number, since it uses less digits than its factorization.

2330123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9204 (or 9197 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2330123100 is about 48271.3486449260. The cubic root of 2330123100 is about 1325.7438519347.

Adding to 2330123100 its reverse (13210332), we get a palindrome (2343333432).

The spelling of 2330123100 in words is "two billion, three hundred thirty million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 37 46 50 60 69 74 75 92 100 111 115 138 148 150 185 222 230 276 300 345 370 444 460 555 575 690 740 851 925 1110 1150 1380 1702 1725 1850 2220 2300 2553 2775 3404 3450 3700 4255 5106 5550 6900 8510 9127 10212 11100 12765 17020 18254 21275 25530 27381 36508 42550 45635 51060 54762 63825 85100 91270 109524 127650 136905 182540 209921 228175 255300 273810 337699 419842 456350 547620 629763 675398 684525 839684 912700 1013097 1049605 1259526 1350796 1369050 1688495 2026194 2099210 2519052 2738100 3148815 3376990 4052388 4198420 5065485 5248025 6297630 6753980 7767077 8442475 10130970 10496050 12595260 15534154 15744075 16884950 20261940 20992100 23301231 25327425 31068308 31488150 33769900 38835385 46602462 50654850 62976300 77670770 93204924 101309700 116506155 155341540 194176925 233012310 388353850 466024620 582530775 776707700 1165061550 2330123100