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103322238864 = 243131012297159
BaseRepresentation
bin110000000111001111…
…1000011111110010000
3100212200201000120012120
41200032133003332100
53143100443120424
6115244322054240
710315264353045
oct1401637037620
9325621016176
10103322238864
113a90078a359
12180364aa380
139987baa260
1450023891cc
152a4ac31a79
hex180e7c3f90

103322238864 has 160 divisors (see below), whose sum is σ = 291602169600. Its totient is φ = 31334860800.

The previous prime is 103322238863. The next prime is 103322238881. The reversal of 103322238864 is 468832223301.

It is not an unprimeable number, because it can be changed into a prime (103322238863) 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, 14428917 + ... + 14436075.

It is an arithmetic number, because the mean of its divisors is an integer number (1822513560).

Almost surely, 2103322238864 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 103322238864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145801084800).

103322238864 is an abundant number, since it is smaller than the sum of its proper divisors (188279930736).

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

103322238864 is a wasteful number, since it uses less digits than its factorization.

103322238864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7513 (or 7507 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 103322238864 in words is "one hundred three billion, three hundred twenty-two million, two hundred thirty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 101 104 156 202 208 229 303 312 404 458 606 624 687 808 916 1212 1313 1374 1616 1832 2424 2626 2748 2977 3664 3939 4848 5252 5496 5954 7159 7878 8931 10504 10992 11908 14318 15756 17862 21008 21477 23129 23816 28636 31512 35724 42954 46258 47632 57272 63024 69387 71448 85908 92516 93067 114544 138774 142896 171816 185032 186134 277548 279201 300677 343632 370064 372268 555096 558402 601354 723059 744536 902031 1110192 1116804 1202708 1446118 1489072 1639411 1804062 2169177 2233608 2405416 2892236 3278822 3608124 4338354 4467216 4810832 4918233 5784472 6557644 7216248 8676708 9399767 9836466 11568944 13115288 14432496 17353416 18799534 19672932 21312343 26230576 28199301 34706832 37599068 39345864 42624686 56398602 63937029 75198136 78691728 85249372 112797204 127874058 150396272 165580511 170498744 225594408 255748116 331161022 340997488 451188816 496741533 511496232 662322044 993483066 1022992464 1324644088 1986966132 2152546643 2649288176 3973932264 4305093286 6457639929 7947864528 8610186572 12915279858 17220373144 25830559716 34440746288 51661119432 103322238864