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1001101220 = 225723310901
BaseRepresentation
bin111011101010111…
…001011110100100
32120202202012200222
4323222321132210
54022240214340
6243201023512
733544135310
oct7352713644
92522665628
101001101220
11474106189
1223b324b98
1312c5344b2
1496d56b40
155cd4c8b5
hex3bab97a4

1001101220 has 48 divisors (see below), whose sum is σ = 2507113728. Its totient is φ = 328310400.

The previous prime is 1001101217. The next prime is 1001101261. The reversal of 1001101220 is 221011001.

It is a junction number, because it is equal to n+sod(n) for n = 1001101198 and 1001101207.

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, 152231 + ... + 158670.

It is an arithmetic number, because the mean of its divisors is an integer number (52231536).

Almost surely, 21001101220 is an apocalyptic number.

1001101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001101220 is an abundant number, since it is smaller than the sum of its proper divisors (1506012508).

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

1001101220 is a wasteful number, since it uses less digits than its factorization.

1001101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310940 (or 310938 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1001101220 is about 31640.1836277857. The cubic root of 1001101220 is about 1000.3669386729.

Adding to 1001101220 its reverse (221011001), we get a palindrome (1222112221).

The spelling of 1001101220 in words is "one billion, one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 310901 621802 1243604 1554505 2176307 3109010 4352614 6218020 7150723 8705228 10881535 14301446 21763070 28602892 35753615 43526140 50055061 71507230 100110122 143014460 200220244 250275305 500550610 1001101220