Search a number
-
+
1010333001132 = 2232713690744651
BaseRepresentation
bin11101011001111001000…
…10100010010110101100
310120120211211210021021200
432230330202202112230
5113023130222014012
62052050210325500
7132664664545530
oct16547442422654
93516754707250
101010333001132
1135a530704654
12143986589890
1374373c69ab0
1436c868cdbc0
151b4339a13dc
hexeb3c8a25ac

1010333001132 has 144 divisors (see below), whose sum is σ = 3143783715072. Its totient is φ = 266416905600.

The previous prime is 1010333001131. The next prime is 1010333001133. The reversal of 1010333001132 is 2311003330101.

It is a happy number.

1010333001132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1010333001131) and next prime (1010333001133).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1010333001131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22605007 + ... + 22649657.

Almost surely, 21010333001132 is an apocalyptic number.

1010333001132 is a gapful number since it is divisible by the number (12) 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 1010333001132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571891857536).

1010333001132 is an abundant number, since it is smaller than the sum of its proper divisors (2133450713940).

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

1010333001132 is a wasteful number, since it uses less digits than its factorization.

1010333001132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51588 (or 51583 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1010333001132 its reverse (2311003330101), we get a palindrome (3321336331233).

The spelling of 1010333001132 in words is "one trillion, ten billion, three hundred thirty-three million, one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 6907 13814 20721 27628 41442 44651 48349 62163 82884 89302 89791 96698 124326 133953 145047 178604 179582 193396 248652 267906 269373 290094 312557 359164 401859 435141 535812 538746 580188 580463 625114 628537 803718 808119 870282 937671 1077492 1160926 1250228 1257074 1607436 1616238 1740564 1741389 1875342 1885611 2321852 2514148 2813013 3232476 3482778 3750684 3771222 4063241 5224167 5626026 5656833 6965556 7542444 8126482 10448334 11252052 11313666 12189723 16252964 20896668 22627332 24379446 36569169 48758892 73138338 146276676 308404457 616808914 925213371 1233617828 1850426742 2158831199 2775640113 3700853484 4009257941 4317662398 5551280226 6476493597 8018515882 8635324796 11102560452 12027773823 12952987194 16037031764 19429480791 24055547646 25905974388 28064805587 36083321469 38858961582 48111095292 56129611174 72166642938 77717923164 84194416761 112259222348 144333285876 168388833522 252583250283 336777667044 505166500566 1010333001132