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103322003010 = 235295915712821
BaseRepresentation
bin110000000111001111…
…0001010011001000010
3100212200200120120200020
41200032132022121002
53143100413044020
6115244313034310
710315262351322
oct1401636123102
9325620516606
10103322003010
113a900639136
12180363b5996
139987b26ab5
145002327282
152a4abd6c40
hex180e78a642

103322003010 has 128 divisors (see below), whose sum is σ = 262553529600. Its totient is φ = 25982960640.

The previous prime is 103322002991. The next prime is 103322003047. The reversal of 103322003010 is 10300223301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8052400 + ... + 8065220.

It is an arithmetic number, because the mean of its divisors is an integer number (2051199450).

Almost surely, 2103322003010 is an apocalyptic number.

103322003010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103322003010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131276764800).

103322003010 is an abundant number, since it is smaller than the sum of its proper divisors (159231526590).

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

103322003010 is a wasteful number, since it uses less digits than its factorization.

103322003010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13076.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 103322003010 its reverse (10300223301), we get a palindrome (113622226311).

The spelling of 103322003010 in words is "one hundred three billion, three hundred twenty-two million, three thousand, ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 59 87 118 145 157 174 177 290 295 314 354 435 471 590 785 870 885 942 1570 1711 1770 2355 3422 4553 4710 5133 8555 9106 9263 10266 12821 13659 17110 18526 22765 25642 25665 27318 27789 38463 45530 46315 51330 55578 64105 68295 76926 92630 128210 136590 138945 192315 268627 277890 371809 384630 537254 743618 756439 805881 1115427 1343135 1512878 1611762 1859045 2012897 2230854 2269317 2686270 3718090 3782195 4025794 4029405 4538634 5577135 6038691 7564390 8058810 10064485 11154270 11346585 12077382 20128970 21936731 22693170 30193455 43873462 58374013 60386910 65810193 109683655 116748026 118760923 131620386 175122039 219367310 237521846 291870065 329050965 350244078 356282769 583740130 593804615 658101930 712565538 875610195 1187609230 1751220390 1781413845 3444066767 3562827690 6888133534 10332200301 17220333835 20664400602 34440667670 51661001505 103322003010