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23300130040 = 23511294913719
BaseRepresentation
bin10101101100110010…
…111100010011111000
32020010211022020121021
4111230302330103320
5340204313130130
614412014352224
71453253560165
oct255462742370
966124266537
1023300130040
119977352620
1246231bb674
1322743041c5
1411b06d706c
1591584737a
hex56ccbc4f8

23300130040 has 128 divisors (see below), whose sum is σ = 59299776000. Its totient is φ = 8161753600.

The previous prime is 23300130031. The next prime is 23300130043. The reversal of 23300130040 is 4003100332.

It is a junction number, because it is equal to n+sod(n) for n = 23300129996 and 23300130023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23300130043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6263301 + ... + 6267019.

It is an arithmetic number, because the mean of its divisors is an integer number (463279500).

Almost surely, 223300130040 is an apocalyptic number.

23300130040 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 23300130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29649888000).

23300130040 is an abundant number, since it is smaller than the sum of its proper divisors (35999645960).

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

23300130040 is a wasteful number, since it uses less digits than its factorization.

23300130040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4261 (or 4257 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 23300130040 its reverse (4003100332), we get a palindrome (27303230372).

The spelling of 23300130040 in words is "twenty-three billion, three hundred million, one hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 491 580 638 982 1160 1276 1595 1964 2455 2552 3190 3719 3928 4910 5401 6380 7438 9820 10802 12760 14239 14876 18595 19640 21604 27005 28478 29752 37190 40909 43208 54010 56956 71195 74380 81818 107851 108020 113912 142390 148760 156629 163636 204545 215702 216040 284780 313258 327272 409090 431404 539255 569560 626516 783145 818180 862808 1078510 1186361 1253032 1566290 1636360 1826029 2157020 2372722 3132580 3652058 4314040 4745444 5931805 6265160 7304116 9130145 9490888 11863610 14608232 18260290 20086319 23727220 36520580 40172638 47454440 52954841 73041160 80345276 100431595 105909682 160690552 200863190 211819364 264774205 401726380 423638728 529548410 582503251 803452760 1059096820 1165006502 2118193640 2330013004 2912516255 4660026008 5825032510 11650065020 23300130040