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103321101132320 = 25531310331997213
BaseRepresentation
bin10111011111100001010001…
…100001111110001000100000
3111112211101211012000102022012
4113133201101201332020200
5102020303103342213240
61003425020353532052
730522463130036141
oct2737412141761040
9445741735012265
10103321101132320
112aa15262017185
12b7083a3874028
1345861a4338556
141b72aa7487ac8
15be2943e49b65
hex5df85187e220

103321101132320 has 96 divisors (see below), whose sum is σ = 245113137106992. Its totient is φ = 41156499750912.

The previous prime is 103321101132317. The next prime is 103321101132341. The reversal of 103321101132320 is 23231101123301.

It can be written as a sum of positive squares in 8 ways, for example, as 46442534895376 + 56878566236944 = 6814876^2 + 7541788^2 .

It is a super-2 number, since 2×1033211011323202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50734034 + ... + 52731246.

Almost surely, 2103321101132320 is an apocalyptic number.

103321101132320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103321101132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122556568553496).

103321101132320 is an abundant number, since it is smaller than the sum of its proper divisors (141792035974672).

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

103321101132320 is a wasteful number, since it uses less digits than its factorization.

103321101132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998574 (or 1998566 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 103321101132320 its reverse (23231101123301), we get a palindrome (126552202255621).

The spelling of 103321101132320 in words is "one hundred three trillion, three hundred twenty-one billion, one hundred one million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 313 626 1033 1252 1565 2066 2504 3130 4132 5008 5165 6260 8264 10016 10330 12520 16528 20660 25040 33056 41320 50080 82640 165280 323329 646658 1293316 1616645 1997213 2586632 3233290 3994426 5173264 6466580 7988852 9986065 10346528 12933160 15977704 19972130 25866320 31955408 39944260 51732640 63910816 79888520 159777040 319554080 625127669 1250255338 2063121029 2500510676 3125638345 4126242058 5001021352 6251276690 8252484116 10002042704 10315605145 12502553380 16504968232 20004085408 20631210290 25005106760 33009936464 41262420580 50010213520 66019872928 82524841160 100020427040 165049682320 330099364640 645756882077 1291513764154 2583027528308 3228784410385 5166055056616 6457568820770 10332110113232 12915137641540 20664220226464 25830275283080 51660550566160 103321101132320