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103132212220 = 22529434998287
BaseRepresentation
bin110000000001100101…
…0001010101111111100
3100212012110110012122201
41200003022022233330
53142203321242340
6115213413121244
710310466224362
oct1400312125774
9325173405581
10103132212220
113a813499544
1217ba2929224
13995770565b
144dc5041632
152a391e779a
hex180328abfc

103132212220 has 96 divisors (see below), whose sum is σ = 229743360000. Its totient is φ = 38821434624.

The previous prime is 103132212181. The next prime is 103132212259. The reversal of 103132212220 is 22212231301.

It is an interprime number because it is at equal distance from previous prime (103132212181) and next prime (103132212259).

It is a super-2 number, since 2×1031322122202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12440917 + ... + 12449203.

It is an arithmetic number, because the mean of its divisors is an integer number (2393160000).

Almost surely, 2103132212220 is an apocalyptic number.

103132212220 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 103132212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114871680000).

103132212220 is an abundant number, since it is smaller than the sum of its proper divisors (126611147780).

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

103132212220 is a wasteful number, since it uses less digits than its factorization.

103132212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8867 (or 8865 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 103132212220 its reverse (22212231301), we get a palindrome (125344443521).

The spelling of 103132212220 in words is "one hundred three billion, one hundred thirty-two million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 43 58 86 116 145 172 215 290 430 499 580 860 998 1247 1996 2494 2495 4988 4990 6235 8287 9980 12470 14471 16574 21457 24940 28942 33148 41435 42914 57884 72355 82870 85828 107285 144710 165740 214570 240323 289420 356341 429140 480646 622253 712682 961292 1201615 1244506 1425364 1781705 2403230 2489012 3111265 3563410 4135213 4806460 6222530 7126820 8270426 10333889 12445060 16540852 20667778 20676065 41335556 41352130 51669445 82704260 103338890 119921177 177814159 206677780 239842354 355628318 479684708 599605885 711256636 889070795 1199211770 1778141590 2398423540 3556283180 5156610611 10313221222 20626442444 25783053055 51566106110 103132212220