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101150003472 = 2437380379159
BaseRepresentation
bin101111000110100000…
…0101001000100010000
3100200002022120120102220
41132031000221010100
53124123400102342
6114245003341040
710210406562210
oct1361500510420
9320068516386
10101150003472
11399965a37a1
121772ab21780
1396ccb4a27b
144c77a98240
15297019b5ec
hex178d029110

101150003472 has 80 divisors (see below), whose sum is σ = 298715642880. Its totient is φ = 28892036736.

The previous prime is 101150003453. The next prime is 101150003557. The reversal of 101150003472 is 274300051101.

It is a super-3 number, since 3×1011500034723 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1238229 + ... + 1317387.

It is an arithmetic number, because the mean of its divisors is an integer number (3733945536).

Almost surely, 2101150003472 is an apocalyptic number.

101150003472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101150003472 is an abundant number, since it is smaller than the sum of its proper divisors (197565639408).

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

101150003472 is a wasteful number, since it uses less digits than its factorization.

101150003472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82980 (or 82974 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

Adding to 101150003472 its reverse (274300051101), we get a palindrome (375450054573).

The spelling of 101150003472 in words is "one hundred one billion, one hundred fifty million, three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 3803 7606 11409 15212 22818 26621 30424 45636 53242 60848 79159 79863 91272 106484 158318 159726 182544 212968 237477 316636 319452 425936 474954 554113 633272 638904 949908 1108226 1266544 1277808 1662339 1899816 2216452 3324678 3799632 4432904 6649356 8865808 13298712 26597424 301041677 602083354 903125031 1204166708 1806250062 2107291739 2408333416 3612500124 4214583478 4816666832 6321875217 7225000248 8429166956 12643750434 14450000496 16858333912 25287500868 33716667824 50575001736 101150003472