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1010854221 = 31317412907
BaseRepresentation
bin111100010000000…
…110100101001101
32121110002201022020
4330100012211031
54032234313341
6244150040353
734023055566
oct7420064515
92543081266
101010854221
11479667813
122426490b9
1313156a7c0
149837516d
155db27566
hex3c40694d

1010854221 has 48 divisors (see below), whose sum is σ = 1576999872. Its totient is φ = 570562560.

The previous prime is 1010854177. The next prime is 1010854253. The reversal of 1010854221 is 1224580101.

It is not a de Polignac number, because 1010854221 - 213 = 1010846029 is a prime.

It is a super-2 number, since 2×10108542212 = 2043652512227033682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010854191 and 1010854200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010854121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1114050 + ... + 1114956.

It is an arithmetic number, because the mean of its divisors is an integer number (32854164).

Almost surely, 21010854221 is an apocalyptic number.

It is an amenable number.

1010854221 is a deficient number, since it is larger than the sum of its proper divisors (566145651).

1010854221 is a wasteful number, since it uses less digits than its factorization.

1010854221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 1010854221 is about 31793.9337138392. The cubic root of 1010854221 is about 1003.6050615800.

The spelling of 1010854221 in words is "one billion, ten million, eight hundred fifty-four thousand, two hundred twenty-one".

Divisors: 1 3 13 17 39 41 51 123 221 533 663 697 907 1599 1681 2091 2721 5043 9061 11791 15419 21853 27183 28577 35373 37187 46257 65559 85731 111561 200447 371501 483431 601341 632179 1114503 1450293 1524667 1896537 4574001 8218327 19820671 24654981 25919339 59462013 77758017 336951407 1010854221