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103211031220 = 225112343474359
BaseRepresentation
bin110000000011111011…
…0110101101010110100
3100212101221202121222221
41200013312311222310
53142334010444340
6115225310332124
710312444201363
oct1400766655264
9325357677887
10103211031220
113a853a33410
12180051ba044
13996ab4130b
144dd16bb7da
152a410b644a
hex1807db5ab4

103211031220 has 96 divisors (see below), whose sum is σ = 252465776640. Its totient is φ = 35064543360.

The previous prime is 103211031199. The next prime is 103211031221. The reversal of 103211031220 is 22130112301.

It is a junction number, because it is equal to n+sod(n) for n = 103211031194 and 103211031203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103211031221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19600 + ... + 454759.

It is an arithmetic number, because the mean of its divisors is an integer number (2629851840).

Almost surely, 2103211031220 is an apocalyptic number.

103211031220 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 103211031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126232888320).

103211031220 is an abundant number, since it is smaller than the sum of its proper divisors (149254745420).

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

103211031220 is a wasteful number, since it uses less digits than its factorization.

103211031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474445 (or 474443 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 103211031220 its reverse (22130112301), we get a palindrome (125341143521).

The spelling of 103211031220 in words is "one hundred three billion, two hundred eleven million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 43 44 46 55 86 92 110 115 172 215 220 230 253 430 460 473 506 860 946 989 1012 1265 1892 1978 2365 2530 3956 4730 4945 5060 9460 9890 10879 19780 21758 43516 54395 108790 217580 474359 948718 1897436 2371795 4743590 5217949 9487180 10435898 10910257 20397437 20871796 21820514 26089745 40794874 43641028 52179490 54551285 81589748 101987185 104358980 109102570 120012827 203974370 218205140 224371807 240025654 407948740 448743614 469141051 480051308 600064135 897487228 938282102 1121859035 1200128270 1876564204 2243718070 2345705255 2400256540 4487436140 4691410510 5160551561 9382821020 10321103122 20642206244 25802757805 51605515610 103211031220