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1010190909 = 37313237157
BaseRepresentation
bin111100001101100…
…100101000111101
32121101212000102010
4330031210220331
54032102102114
6244123521433
734014324000
oct7415445075
92541760363
101010190909
11479254422
12242389279
13131397900
1498241537
155da45c59
hex3c364a3d

1010190909 has 96 divisors (see below), whose sum is σ = 1757971200. Its totient is φ = 515144448.

The previous prime is 1010190899. The next prime is 1010190977. The reversal of 1010190909 is 9090910101.

It is not a de Polignac number, because 1010190909 - 217 = 1010059837 is a prime.

1010190909 is a modest number, since divided by 90909 gives 10101 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010190989) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6434259 + ... + 6434415.

It is an arithmetic number, because the mean of its divisors is an integer number (18312200).

Almost surely, 21010190909 is an apocalyptic number.

It is an amenable number.

1010190909 is a deficient number, since it is larger than the sum of its proper divisors (747780291).

1010190909 is a wasteful number, since it uses less digits than its factorization.

1010190909 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 30.

The square root of 1010190909 is about 31783.5005781302. The cubic root of 1010190909 is about 1003.3854951549.

It can be divided in two parts, 10101 and 90909, that multiplied together give a square (918271809 = 303032).

The spelling of 1010190909 in words is "one billion, ten million, one hundred ninety thousand, nine hundred nine".

Divisors: 1 3 7 13 21 37 39 49 91 111 147 157 169 259 273 343 471 481 507 637 777 1029 1099 1183 1443 1813 1911 2041 3297 3367 3549 4459 5439 5809 6123 6253 7693 8281 10101 12691 13377 14287 17427 18759 23079 23569 24843 26533 38073 40663 42861 43771 53851 57967 70707 75517 79599 100009 121989 131313 161553 164983 173901 185731 226551 284641 300027 306397 494949 528619 557193 700063 853923 919191 981721 1300117 1585857 1992487 2100189 2144779 2945163 3700333 3900351 5977461 6434337 6872047 9100819 11100999 20616141 25902331 27302457 48104329 77706993 144312987 336730303 1010190909