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101223232032 = 25313194268861
BaseRepresentation
bin101111001000101011…
…1111111001000100000
3100200021102100222010210
41132101113333020200
53124301121411112
6114300141054120
710212256163436
oct1362127771040
9320242328123
10101223232032
1139a2396a46a
121774b557340
139712079490
144c836bad56
152976813b3c
hex17915ff220

101223232032 has 96 divisors (see below), whose sum is σ = 301210902720. Its totient is φ = 29506360320.

The previous prime is 101223232027. The next prime is 101223232063. The reversal of 101223232032 is 230232322101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1012232320322 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2110719 + ... + 2158142.

It is an arithmetic number, because the mean of its divisors is an integer number (3137613570).

Almost surely, 2101223232032 is an apocalyptic number.

101223232032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101223232032 is an abundant number, since it is smaller than the sum of its proper divisors (199987670688).

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

101223232032 is a wasteful number, since it uses less digits than its factorization.

101223232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268906 (or 4268898 counting only the distinct ones).

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

Adding to 101223232032 its reverse (230232322101), we get a palindrome (331455554133).

The spelling of 101223232032 in words is "one hundred one billion, two hundred twenty-three million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1248 1482 1824 1976 2964 3952 5928 7904 11856 23712 4268861 8537722 12806583 17075444 25613166 34150888 51226332 55495193 68301776 81108359 102452664 110990386 136603552 162216718 166485579 204905328 221980772 243325077 324433436 332971158 409810656 443961544 486650154 648866872 665942316 887923088 973300308 1054408667 1297733744 1331884632 1775846176 1946600616 2108817334 2595467488 2663769264 3163226001 3893201232 4217634668 5327538528 6326452002 7786402464 8435269336 12652904004 16870538672 25305808008 33741077344 50611616016 101223232032