Search a number
-
+
1010301133224 = 2334710913676011
BaseRepresentation
bin11101011001110101010…
…00111110000110101000
310120120202121211012201210
432230322220332012220
5113023044042230344
62052043111313120
7132664126640265
oct16547250760650
93516677735653
101010301133224
1135a514718839
1214397797b7a0
137436a48c846
1436c8259626c
151b430ca8db9
hexeb3aa3e1a8

1010301133224 has 128 divisors (see below), whose sum is σ = 2605494988800. Its totient is φ = 326284727040.

The previous prime is 1010301133189. The next prime is 1010301133241. The reversal of 1010301133224 is 4223311030101.

It is a self number, because there is not a number n which added to its sum of digits gives 1010301133224.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168072379 + ... + 168078389.

It is an arithmetic number, because the mean of its divisors is an integer number (20355429600).

Almost surely, 21010301133224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010301133224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302747494400).

1010301133224 is an abundant number, since it is smaller than the sum of its proper divisors (1595193855576).

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

1010301133224 is a wasteful number, since it uses less digits than its factorization.

1010301133224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7543 (or 7539 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1010301133224 its reverse (4223311030101), we get a palindrome (5233612163325).

The spelling of 1010301133224 in words is "one trillion, ten billion, three hundred one million, one hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 47 94 109 141 188 218 282 327 376 436 564 654 872 1128 1308 1367 2616 2734 4101 5123 5468 6011 8202 10246 10936 12022 15369 16404 18033 20492 24044 30738 32808 36066 40984 48088 61476 64249 72132 122952 128498 144264 149003 192747 256996 282517 298006 385494 447009 513992 565034 596012 655199 770988 847551 894018 1130068 1192024 1310398 1541976 1695102 1788036 1965597 2260136 2620796 3390204 3576072 3931194 5241592 6780408 7003141 7862388 8217037 14006282 15724776 16434074 21009423 24651111 28012564 30794353 32868148 42018846 49302222 56025128 61588706 65736296 84037692 92383059 98604444 123177412 168075384 184766118 197208888 246354824 369532236 386200739 739064472 772401478 895657033 1158602217 1544802956 1791314066 2317204434 2686971099 3089605912 3582628132 4634408868 5373942198 7165256264 9268817736 10747884396 21495768792 42095880551 84191761102 126287641653 168383522204 252575283306 336767044408 505150566612 1010301133224