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2971201530 = 2351141435107
BaseRepresentation
bin1011000100011000…
…1110111111111010
321200001211200021010
42301012032333322
522041111422110
61210455054350
7133425540063
oct26106167772
97601750233
102971201530
111295190760
126ab0713b6
1338474041b
1420286b56a
15125ca6020
hexb118effa

2971201530 has 128 divisors (see below), whose sum is σ = 8155800576. Its totient is φ = 686246400.

The previous prime is 2971201529. The next prime is 2971201531. The reversal of 2971201530 is 351021792.

It is an interprime number because it is at equal distance from previous prime (2971201529) and next prime (2971201531).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2971201531) 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 63 ways as a sum of consecutive naturals, for example, 579237 + ... + 584343.

It is an arithmetic number, because the mean of its divisors is an integer number (63717192).

Almost surely, 22971201530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2971201530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4077900288).

2971201530 is an abundant number, since it is smaller than the sum of its proper divisors (5184599046).

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

2971201530 is a wasteful number, since it uses less digits than its factorization.

2971201530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5212.

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 2971201530 is about 54508.7289339974. The cubic root of 2971201530 is about 1437.6197705373.

The spelling of 2971201530 in words is "two billion, nine hundred seventy-one million, two hundred one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 43 55 66 82 86 110 123 129 165 205 215 246 258 330 410 430 451 473 615 645 902 946 1230 1290 1353 1419 1763 2255 2365 2706 2838 3526 4510 4730 5107 5289 6765 7095 8815 10214 10578 13530 14190 15321 17630 19393 25535 26445 30642 38786 51070 52890 56177 58179 76605 96965 112354 116358 153210 168531 193930 209387 219601 280885 290895 337062 418774 439202 561770 581790 628161 658803 842655 1046935 1098005 1256322 1317606 1685310 2093870 2196010 2303257 2415611 3140805 3294015 4606514 4831222 6281610 6588030 6909771 7246833 9003641 11516285 12078055 13819542 14493666 18007282 23032570 24156110 27010923 34548855 36234165 45018205 54021846 69097710 72468330 90036410 99040051 135054615 198080102 270109230 297120153 495200255 594240306 990400510 1485600765 2971201530