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1230010100 = 2252112361797
BaseRepresentation
bin100100101010000…
…0111011011110100
310011201110222122122
41021110013123310
510004340310400
6322015215112
742323625164
oct11124073364
93151428578
101230010100
11581343880
122a3b17498
13167aa0c37
14b95025a4
1572eb7685
hex495076f4

1230010100 has 144 divisors (see below), whose sum is σ = 3092052096. Its totient is φ = 420288000.

The previous prime is 1230010099. The next prime is 1230010109. The reversal of 1230010100 is 10100321.

It is a super-2 number, since 2×12300101002 = 3025849692204020000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230010109) 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, 1542902 + ... + 1543698.

It is an arithmetic number, because the mean of its divisors is an integer number (21472584).

Almost surely, 21230010100 is an apocalyptic number.

1230010100 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 1230010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546026048).

1230010100 is an abundant number, since it is smaller than the sum of its proper divisors (1862041996).

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

1230010100 is a wasteful number, since it uses less digits than its factorization.

1230010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1230010100 is about 35071.4998253568. The cubic root of 1230010100 is about 1071.4442023540. Note that the first 3 decimals are identical.

Adding to 1230010100 its reverse (10100321), we get a palindrome (1240110421).

The spelling of 1230010100 in words is "one billion, two hundred thirty million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 61 92 100 110 115 122 220 230 244 253 275 305 460 506 550 575 610 671 797 1012 1100 1150 1220 1265 1342 1403 1525 1594 2300 2530 2684 2806 3050 3188 3355 3985 5060 5612 6100 6325 6710 7015 7970 8767 12650 13420 14030 15433 15940 16775 17534 18331 19925 25300 28060 30866 33550 35068 35075 36662 39850 43835 48617 61732 67100 70150 73324 77165 79700 87670 91655 97234 140300 154330 175340 183310 194468 201641 219175 243085 308660 366620 385825 403282 438350 458275 486170 534787 771650 806564 876700 916550 972340 1008205 1069574 1118191 1215425 1543300 1833100 2016410 2139148 2236382 2430850 2673935 4032820 4472764 4861700 5041025 5347870 5590955 10082050 10695740 11181910 12300101 13369675 20164100 22363820 24600202 26739350 27954775 49200404 53478700 55909550 61500505 111819100 123001010 246002020 307502525 615005050 1230010100