Search a number
-
+
30123402222400 = 265234123551743
BaseRepresentation
bin1101101100101101001101…
…01100000101101101000000
310221122202202200202011201121
412312112212230011231000
512422020211432104100
6144022255553042024
76226225663103314
oct666264654055500
9127582680664647
1030123402222400
11966429926a223
12346614a556314
1313a6817449b66
14761da24bbb44
153738a37c551a
hex1b65a6b05b40

30123402222400 has 84 divisors (see below), whose sum is σ = 74124703151872. Its totient is φ = 12048985935360.

The previous prime is 30123402222359. The next prime is 30123402222409. The reversal of 30123402222400 is 422220432103.

It is a super-2 number, since 2×301234022224002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30123402222409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54320929 + ... + 54872671.

Almost surely, 230123402222400 is an apocalyptic number.

It is an amenable number.

30123402222400 is an abundant number, since it is smaller than the sum of its proper divisors (44001300929472).

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

30123402222400 is a wasteful number, since it uses less digits than its factorization.

30123402222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585888 (or 585873 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 30123402222400 its reverse (422220432103), we get a palindrome (30545622654503).

The spelling of 30123402222400 in words is "thirty trillion, one hundred twenty-three billion, four hundred two million, two hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 34123 68246 136492 170615 272984 341230 545968 551743 682460 853075 1091936 1103486 1364920 1706150 2183872 2206972 2729840 2758715 3412300 4413944 5459680 5517430 6824600 8827888 10919360 11034860 13649200 13793575 17655776 22069720 27298400 27587150 35311552 44139440 54596800 55174300 88278880 110348600 176557760 220697200 441394400 882788800 18827126389 37654252778 75308505556 94135631945 150617011112 188271263890 301234022224 376542527780 470678159725 602468044448 753085055560 941356319450 1204936088896 1506170111120 1882712638900 3012340222240 3765425277800 6024680444480 7530850555600 15061701111200 30123402222400