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23431015104 = 263743405437
BaseRepresentation
bin10101110100100110…
…001110101011000000
32020110221120220011020
4111310212032223000
5340441314440404
614433011545440
71456433225250
oct256446165300
966427526136
1023431015104
119a342194a2
12465abbb280
13229546c7a3
1411c3c47960
1592209ced9
hex57498eac0

23431015104 has 112 divisors (see below), whose sum is σ = 72498801408. Its totient is φ = 6538871808.

The previous prime is 23431015103. The next prime is 23431015133. The reversal of 23431015104 is 40151013432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×234310151042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (23431015103) 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, 144927 + ... + 260510.

Almost surely, 223431015104 is an apocalyptic number.

23431015104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23431015104 is an abundant number, since it is smaller than the sum of its proper divisors (49067786304).

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

23431015104 is a wasteful number, since it uses less digits than its factorization.

23431015104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405502 (or 405492 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 23431015104 its reverse (40151013432), we get a palindrome (63582028536).

The spelling of 23431015104 in words is "twenty-three billion, four hundred thirty-one million, fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 129 168 172 192 224 258 301 336 344 448 516 602 672 688 903 1032 1204 1344 1376 1806 2064 2408 2752 3612 4128 4816 7224 8256 9632 14448 19264 28896 57792 405437 810874 1216311 1621748 2432622 2838059 3243496 4865244 5676118 6486992 8514177 9730488 11352236 12973984 17028354 17433791 19460976 22704472 25947968 34056708 34867582 38921952 45408944 52301373 68113416 69735164 77843904 90817888 104602746 122036537 136226832 139470328 181635776 209205492 244073074 272453664 278940656 366109611 418410984 488146148 544907328 557881312 732219222 836821968 976292296 1115762624 1464438444 1673643936 1952584592 2928876888 3347287872 3905169184 5857753776 7810338368 11715507552 23431015104