Search a number
-
+
151043310 = 232511295261
BaseRepresentation
bin10010000000010…
…11110011101110
3101112012210110200
421000023303232
5302131341220
622553214330
73512563335
oct1100136356
9345183420
10151043310
1178295090
12427013a6
13253a5a52
14160bad1c
15d3d8890
hex900bcee

151043310 has 96 divisors (see below), whose sum is σ = 443270880. Its totient is φ = 35347200.

The previous prime is 151043309. The next prime is 151043311. The reversal of 151043310 is 13340151.

It is an interprime number because it is at equal distance from previous prime (151043309) and next prime (151043311).

It is a super-2 number, since 2×1510433102 = 45628162991512200, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151043311) 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, 26080 + ... + 31340.

It is an arithmetic number, because the mean of its divisors is an integer number (4617405).

Almost surely, 2151043310 is an apocalyptic number.

151043310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151043310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221635440).

151043310 is an abundant number, since it is smaller than the sum of its proper divisors (292227570).

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

151043310 is a wasteful number, since it uses less digits than its factorization.

151043310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5314 (or 5311 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 151043310 is about 12289.9678600068. The cubic root of 151043310 is about 532.5583087641.

Adding to 151043310 its reverse (13340151), we get a palindrome (164383461).

The spelling of 151043310 in words is "one hundred fifty-one million, forty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 29 30 33 45 55 58 66 87 90 99 110 145 165 174 198 261 290 319 330 435 495 522 638 870 957 990 1305 1595 1914 2610 2871 3190 4785 5261 5742 9570 10522 14355 15783 26305 28710 31566 47349 52610 57871 78915 94698 115742 152569 157830 173613 236745 289355 305138 347226 457707 473490 520839 578710 762845 868065 915414 1041678 1373121 1525690 1678259 1736130 2288535 2604195 2746242 3356518 4577070 5034777 5208390 6865605 8391295 10069554 13731210 15104331 16782590 25173885 30208662 50347770 75521655 151043310