Search a number
-
+
201023010 = 232571163193
BaseRepresentation
bin10111111101101…
…01111000100010
3112000021000201200
423332311320202
5402430214020
631540342030
74660444626
oct1376657042
9460230650
10201023010
11a3521621
12573a4916
1332854b36
141c9ab186
15129ac590
hexbfb5e22

201023010 has 96 divisors (see below), whose sum is σ = 536035968. Its totient is φ = 52254720.

The previous prime is 201022993. The next prime is 201023029. The reversal of 201023010 is 10320102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 201022983 and 201023001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1041474 + ... + 1041666.

It is an arithmetic number, because the mean of its divisors is an integer number (5583708).

Almost surely, 2201023010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201023010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268017984).

201023010 is an abundant number, since it is smaller than the sum of its proper divisors (335012958).

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

201023010 is a wasteful number, since it uses less digits than its factorization.

201023010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 201023010 is about 14178.2583556656. The cubic root of 201023010 is about 585.7989521809.

Adding to 201023010 its reverse (10320102), we get a palindrome (211343112).

The spelling of 201023010 in words is "two hundred one million, twenty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 163 193 213 326 355 386 426 489 579 639 710 815 965 978 1065 1158 1278 1467 1630 1737 1930 2130 2445 2895 2934 3195 3474 4890 5790 6390 7335 8685 11573 13703 14670 17370 23146 27406 31459 34719 41109 57865 62918 68515 69438 82218 94377 104157 115730 123327 137030 157295 173595 188754 205545 208314 246654 283131 314590 347190 411090 471885 520785 566262 616635 943770 1041570 1233270 1415655 2233589 2831310 4467178 6700767 11167945 13401534 20102301 22335890 33503835 40204602 67007670 100511505 201023010