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101723932968 = 23372372723209
BaseRepresentation
bin101111010111100111…
…0000000100100101000
3100201120022112012200220
41132233032000210220
53131312311323333
6114421544530040
710230546110100
oct1365716004450
9321508465626
10101723932968
113a160565499
121786b180920
139791a18618
144ccddb6200
1529a57698b3
hex17af380928

101723932968 has 96 divisors (see below), whose sum is σ = 295921929600. Its totient is φ = 29054930688.

The previous prime is 101723932967. The next prime is 101723932969. The reversal of 101723932968 is 869239327101.

It is an interprime number because it is at equal distance from previous prime (101723932967) and next prime (101723932969).

It is a self number, because there is not a number n which added to its sum of digits gives 101723932968.

It is not an unprimeable number, because it can be changed into a prime (101723932967) 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 23 ways as a sum of consecutive naturals, for example, 4371348 + ... + 4394556.

It is an arithmetic number, because the mean of its divisors is an integer number (3082520100).

Almost surely, 2101723932968 is an apocalyptic number.

It is an amenable number.

101723932968 is an abundant number, since it is smaller than the sum of its proper divisors (194197996632).

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

101723932968 is a wasteful number, since it uses less digits than its factorization.

101723932968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26959 (or 26948 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 101723932968 in words is "one hundred one billion, seven hundred twenty-three million, nine hundred thirty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 3727 7454 11181 14908 22362 23209 26089 29816 44724 46418 52178 69627 78267 89448 92836 104356 139254 156534 162463 182623 185672 208712 278508 313068 324926 365246 487389 547869 557016 626136 649852 730492 974778 1095738 1137241 1299704 1460984 1949556 2191476 2274482 3411723 3899112 4382952 4548964 6823446 9097928 13646892 27293784 86499943 172999886 259499829 345999772 518999658 605499601 691999544 1037999316 1210999202 1816498803 2075998632 2421998404 3632997606 4238497207 4843996808 7265995212 8476994414 12715491621 14531990424 16953988828 25430983242 33907977656 50861966484 101723932968