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101223000232 = 231931471912393
BaseRepresentation
bin101111001000101011…
…1000110100010101000
3100200021101221012011121
41132101113012202220
53124301042001412
6114300132105024
710212254206564
oct1362127064250
9320241835147
10101223000232
1139a238212a2
121774b465174
139711cc7b13
144c8365a6a4
1529767ba107
hex17915c68a8

101223000232 has 128 divisors (see below), whose sum is σ = 211805798400. Its totient is φ = 45157132800.

The previous prime is 101223000211. The next prime is 101223000239. The reversal of 101223000232 is 232000322101.

It is not an unprimeable number, because it can be changed into a prime (101223000239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42298428 + ... + 42300820.

It is an arithmetic number, because the mean of its divisors is an integer number (1654732800).

Almost surely, 2101223000232 is an apocalyptic number.

It is an amenable number.

101223000232 is an abundant number, since it is smaller than the sum of its proper divisors (110582798168).

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

101223000232 is a wasteful number, since it uses less digits than its factorization.

101223000232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 101223000232 its reverse (232000322101), we get a palindrome (333223322333).

The spelling of 101223000232 in words is "one hundred one billion, two hundred twenty-three million, two hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 19 31 38 47 62 76 94 124 152 188 191 248 376 382 589 764 893 1178 1457 1528 1786 2356 2393 2914 3572 3629 4712 4786 5828 5921 7144 7258 8977 9572 11656 11842 14516 17954 19144 23684 27683 29032 35908 45467 47368 55366 71816 74183 90934 110732 112471 112499 148366 170563 181868 221464 224942 224998 278287 296732 341126 363736 449884 449996 457063 556574 593464 682252 899768 899992 914126 1113148 1364504 1409477 1828252 2136949 2226296 2818954 3486601 3656504 4273898 5287453 5637908 6973202 8547796 8684197 10574906 11275816 13946404 14168953 17095592 17368394 21149812 21481961 27892808 28337906 34736788 42299624 42963922 56675812 66245419 69473576 85927844 113351624 132490838 171855688 264981676 269210107 408157259 529963352 538420214 665940791 816314518 1076840428 1331881582 1632629036 2153680856 2663763164 3265258072 5327526328 12652875029 25305750058 50611500116 101223000232