Search a number
-
+
10042024302 = 2334171193331
BaseRepresentation
bin10010101101000110…
…10010000101101110
3221220211211200122000
421112203102011232
5131031224234202
64340243233130
7503564540532
oct112643220556
927824750560
1010042024302
114293508542
121b430787a6
13c4061251b
146b3981bc2
153db90e91c
hex2568d216e

10042024302 has 128 divisors (see below), whose sum is σ = 23372375040. Its totient is φ = 3193344000.

The previous prime is 10042024297. The next prime is 10042024309. The reversal of 10042024302 is 20342024001.

10042024302 is a `hidden beast` number, since 1 + 0 + 0 + 420 + 243 + 0 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042024309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30338277 + ... + 30338607.

It is an arithmetic number, because the mean of its divisors is an integer number (182596680).

Almost surely, 210042024302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10042024302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11686187520).

10042024302 is an abundant number, since it is smaller than the sum of its proper divisors (13330350738).

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

10042024302 is a wasteful number, since it uses less digits than its factorization.

10042024302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10042024302 its reverse (20342024001), we get a palindrome (30384048303).

The spelling of 10042024302 in words is "ten billion, forty-two million, twenty-four thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 41 54 71 82 123 142 193 213 246 331 369 386 426 579 639 662 738 993 1107 1158 1278 1737 1917 1986 2214 2911 2979 3474 3834 5211 5822 5958 7913 8733 8937 10422 13571 13703 15826 17466 17874 23501 23739 26199 27142 27406 40713 41109 47002 47478 52398 63883 70503 71217 78597 81426 82218 122139 123327 127766 141006 142434 157194 191649 211509 213651 244278 246654 366417 369981 383298 423018 427302 561823 574947 634527 732834 739962 963541 1123646 1149894 1269054 1685469 1724841 1927082 2619203 2890623 3370938 3449682 4535693 5056407 5238406 5781246 7857609 8671869 9071386 10112814 13607079 15169221 15715218 17343738 23572827 26015607 27214158 30338442 40821237 47145654 52031214 70718481 81642474 122463711 141436962 185963413 244927422 371926826 557890239 1115780478 1673670717 3347341434 5021012151 10042024302