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10230311331132 = 22325728340129231
BaseRepresentation
bin1001010011011110111000…
…0100101010010100111100
31100020000012222122002201120
42110313232010222110330
52320103134200044012
633431423512110540
72104054436352144
oct224675604522474
940200188562646
1010230311331132
113294718051a02
121192852695450
135929391a6c99
14275214b3b924
1512b1a94dc58c
hex94dee12a53c

10230311331132 has 96 divisors (see below), whose sum is σ = 24109081242624. Its totient is φ = 3376275456000.

The previous prime is 10230311331073. The next prime is 10230311331133. The reversal of 10230311331132 is 23113311303201.

10230311331132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10230311331133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349966957 + ... + 349996187.

It is an arithmetic number, because the mean of its divisors is an integer number (251136262944).

Almost surely, 210230311331132 is an apocalyptic number.

10230311331132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10230311331132 is an abundant number, since it is smaller than the sum of its proper divisors (13878769911492).

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

10230311331132 is a wasteful number, since it uses less digits than its factorization.

10230311331132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30179 (or 30177 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 10230311331132 its reverse (23113311303201), we get a palindrome (33343622634333).

The spelling of 10230311331132 in words is "ten trillion, two hundred thirty billion, three hundred eleven million, three hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 257 283 401 514 566 771 802 849 1028 1132 1203 1542 1604 1698 2406 3084 3396 4812 29231 58462 72731 87693 103057 113483 116924 145462 175386 206114 218193 226966 290924 309171 340449 350772 412228 436386 453932 618342 680898 872772 1236684 1361796 7512367 8272373 11721631 15024734 16544746 22537101 23443262 24817119 29165131 30049468 33089492 35164893 45074202 46886524 49634238 58330262 70329786 87495393 90148404 99268476 116660524 140659572 174990786 349981572 2125999861 3012459167 3317221573 4251999722 6024918334 6377999583 6634443146 8503999444 9037377501 9951664719 12049836668 12755999166 13268886292 18074755002 19903329438 25511998332 36149510004 39806658876 852525944261 1705051888522 2557577832783 3410103777044 5115155665566 10230311331132