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1300010031232 = 271143163131731
BaseRepresentation
bin10010111010101110101…
…000101101100010000000
311121021112221020002111021
4102322232220231202000
5132244410031444412
62433114422355224
7162631313641063
oct22725650554200
94537487202437
101300010031232
11461370853870
1218bb4a88bb14
139578a1ca293
1446cc6a3a8da
1523c39c57607
hex12eaea2d880

1300010031232 has 128 divisors (see below), whose sum is σ = 2908769022720. Its totient is φ = 573626188800.

The previous prime is 1300010031227. The next prime is 1300010031239. The reversal of 1300010031232 is 2321300100031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1300010031239) 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, 9802807 + ... + 9934537.

It is an arithmetic number, because the mean of its divisors is an integer number (22724757990).

Almost surely, 21300010031232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300010031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454384511360).

1300010031232 is an abundant number, since it is smaller than the sum of its proper divisors (1608758991488).

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

1300010031232 is a wasteful number, since it uses less digits than its factorization.

1300010031232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131962 (or 131950 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1300010031232 its reverse (2321300100031), we get a palindrome (3621310131263).

The spelling of 1300010031232 in words is "one trillion, three hundred billion, ten million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 128 163 172 176 326 344 352 473 652 688 704 946 1304 1376 1408 1793 1892 2608 2752 3586 3784 5216 5504 7009 7172 7568 10432 14018 14344 15136 20864 28036 28688 30272 56072 57376 60544 77099 112144 114752 131731 154198 224288 229504 263462 308396 448576 526924 616792 897152 1053848 1233584 1449041 2107696 2467168 2898082 4215392 4934336 5664433 5796164 8430784 9868672 11328866 11592328 16861568 21472153 22657732 23184656 42944306 45315464 46369312 62308763 85888612 90630928 92738624 124617526 171777224 181261856 185477248 236193683 249235052 343554448 362523712 472387366 498470104 687108896 725047424 923302579 944774732 996940208 1374217792 1846605158 1889549464 1993880416 2748435584 3693210316 3779098928 3987760832 7386420632 7558197856 7975521664 10156328369 14772841264 15116395712 20312656738 29545682528 30232791424 40625313476 59091365056 81250626952 118182730112 162501253904 325002507808 650005015616 1300010031232