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23120331300040 = 23513371290793103
BaseRepresentation
bin1010100000111000111110…
…01000100101110011001000
310000212021121122022011211011
411100130133020211303020
511012300414303100130
6121101200015013304
74604250235322512
oct520343710456310
9100767548264734
1023120331300040
117404306300517
122714a6020a234
13cb9312837710
1459d05c49abb2
152a162d6c352a
hex15071f225cc8

23120331300040 has 128 divisors (see below), whose sum is σ = 57541534364160. Its totient is φ = 8305282335744.

The previous prime is 23120331300023. The next prime is 23120331300061. The reversal of 23120331300040 is 4000313302132.

It is a junction number, because it is equal to n+sod(n) for n = 23120331299984 and 23120331300020.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248284129 + ... + 248377231.

It is an arithmetic number, because the mean of its divisors is an integer number (449543237220).

Almost surely, 223120331300040 is an apocalyptic number.

23120331300040 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 23120331300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28770767182080).

23120331300040 is an abundant number, since it is smaller than the sum of its proper divisors (34421203064120).

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

23120331300040 is a wasteful number, since it uses less digits than its factorization.

23120331300040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106071 (or 106067 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 23120331300040 its reverse (4000313302132), we get a palindrome (27120644602172).

The spelling of 23120331300040 in words is "twenty-three trillion, one hundred twenty billion, three hundred thirty-one million, three hundred thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 370 481 520 740 962 1480 1924 2405 3848 4810 9620 12907 19240 25814 51628 64535 93103 103256 129070 167791 186206 258140 335582 372412 465515 477559 516280 671164 744824 838955 931030 955118 1210339 1342328 1677910 1862060 1910236 2387795 2420678 3355820 3444811 3724120 3820472 4775590 4841356 6051695 6208267 6711640 6889622 9551180 9682712 12103390 12416534 13779244 17224055 19102360 24206780 24833068 27558488 31041335 34448110 44782543 48413560 49666136 62082670 68896220 89565086 124165340 137792440 179130172 223912715 248330680 358260344 447825430 895650860 1201680421 1791301720 2403360842 4806721684 6008402105 9613443368 12016804210 15621845473 24033608420 31243690946 44462175577 48067216840 62487381892 78109227365 88924351154 124974763784 156218454730 177848702308 222310877885 312436909460 355697404616 444621755770 578008282501 624873818920 889243511540 1156016565002 1778487023080 2312033130004 2890041412505 4624066260008 5780082825010 11560165650020 23120331300040