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103021321332 = 223233717956359
BaseRepresentation
bin101111111110010001…
…1001001110001110100
3100211220201210100221210
41133330203021301310
53141441424240312
6115154412241420
710304651532336
oct1377443116164
9324821710853
10103021321332
113a766939586
1217b71770270
13993a74a947
144db4417456
152a2e5e0e3c
hex17fc8c9c74

103021321332 has 96 divisors (see below), whose sum is σ = 259057612800. Its totient is φ = 31780501632.

The previous prime is 103021321331. The next prime is 103021321339. The reversal of 103021321332 is 233123120301.

103021321332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1030213213322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103021321299 and 103021321308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103021321331) 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, 1799769 + ... + 1856127.

It is an arithmetic number, because the mean of its divisors is an integer number (2698516800).

Almost surely, 2103021321332 is an apocalyptic number.

103021321332 is a gapful number since it is divisible by the number (12) 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 103021321332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129528806400).

103021321332 is an abundant number, since it is smaller than the sum of its proper divisors (156036291468).

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

103021321332 is a wasteful number, since it uses less digits than its factorization.

103021321332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56605 (or 56603 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 103021321332 its reverse (233123120301), we get a palindrome (336144441633).

The spelling of 103021321332 in words is "one hundred three billion, twenty-one million, three hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 179 222 276 358 444 537 716 851 1074 1702 2148 2553 3404 4117 5106 6623 8234 10212 12351 13246 16468 19869 24702 26492 39738 49404 56359 79476 112718 152329 169077 225436 304658 338154 456987 609316 676308 913974 1296257 1827948 2085283 2592514 3888771 4170566 5185028 6255849 7777542 8341132 10088261 12511698 15555084 20176522 25023396 30264783 40353044 47961509 60529566 95923018 121059132 143884527 191846036 232030003 287769054 373265657 464060006 575538108 696090009 746531314 928120012 1119796971 1392180018 1493062628 2239593942 2784360036 4479187884 8585110111 17170220222 25755330333 34340440444 51510660666 103021321332