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30123102220032 = 2831011225131699
BaseRepresentation
bin1101101100101100101001…
…10011101010111100000000
310221122201222210020110211210
412312112110303222330000
512422014103132020112
6144022210115010120
76226215361113663
oct666262463527400
9127581883213753
1030123102220032
119664154993a88
123466085b99940
1313a679a24ac73
14761d747076da
153738872b5b3c
hex1b6594ceaf00

30123102220032 has 144 divisors (see below), whose sum is σ = 80974320739200. Its totient is φ = 9940492800000.

The previous prime is 30123102219971. The next prime is 30123102220037. The reversal of 30123102220032 is 23002220132103.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 30123102219990 and 30123102220008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30123102220037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 950269719 + ... + 950301417.

It is an arithmetic number, because the mean of its divisors is an integer number (562321671800).

Almost surely, 230123102220032 is an apocalyptic number.

30123102220032 is a gapful number since it is divisible by the number (32) 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 30123102220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40487160369600).

30123102220032 is an abundant number, since it is smaller than the sum of its proper divisors (50851218519168).

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

30123102220032 is a wasteful number, since it uses less digits than its factorization.

30123102220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44070 (or 44056 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 30123102220032 its reverse (23002220132103), we get a palindrome (53125322352135).

The spelling of 30123102220032 in words is "thirty trillion, one hundred twenty-three billion, one hundred two million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 256 303 384 404 606 768 808 1212 1616 2424 3232 4848 6464 9696 12251 12928 19392 24502 25856 31699 36753 38784 49004 63398 73506 77568 95097 98008 126796 147012 190194 196016 253592 294024 380388 392032 507184 588048 760776 784064 1014368 1176096 1237351 1521552 1568128 2028736 2352192 2474702 3043104 3136256 3201599 3712053 4057472 4704384 4949404 6086208 6403198 7424106 8114944 9408768 9604797 9898808 12172416 12806396 14848212 19209594 19797616 24344832 25612792 29696424 38419188 39595232 51225584 59392848 76838376 79190464 102451168 118785696 153676752 158380928 204902336 237571392 307353504 316761856 388344449 409804672 475142784 614707008 776688898 819609344 950285568 1165033347 1229414016 1553377796 2330066694 2458828032 3106755592 4660133388 6213511184 9320266776 12427022368 18640533552 24854044736 37281067104 39222789349 49708089472 74562134208 78445578698 99416178944 117668368047 149124268416 156891157396 235336736094 298248536832 313782314792 470673472188 627564629584 941346944376 1255129259168 1882693888752 2510258518336 3765387777504 5020517036672 7530775555008 10041034073344 15061551110016 30123102220032