Search a number
-
+
10201530444 = 2237615693499
BaseRepresentation
bin10011000000000111…
…10000000001001100
3222022221222102220220
421200003300001030
5131343042433234
64404142111340
7510542402160
oct114003600114
928287872826
1010201530444
1143655528a6
121b8857b550
13c6768c261
146cac22ca0
153ea91aa49
hex2600f004c

10201530444 has 96 divisors (see below), whose sum is σ = 27706560000. Its totient is φ = 2861084160.

The previous prime is 10201530439. The next prime is 10201530461. The reversal of 10201530444 is 44403510201.

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, 2913807 + ... + 2917305.

It is an arithmetic number, because the mean of its divisors is an integer number (288610000).

Almost surely, 210201530444 is an apocalyptic number.

10201530444 is a gapful number since it is divisible by the number (14) 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 10201530444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13853280000).

10201530444 is an abundant number, since it is smaller than the sum of its proper divisors (17505029556).

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

10201530444 is a wasteful number, since it uses less digits than its factorization.

10201530444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4143 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 10201530444 in words is "ten billion, two hundred one million, five hundred thirty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 569 732 854 1138 1281 1707 1708 2276 2562 3414 3499 3983 5124 6828 6998 7966 10497 11949 13996 15932 20994 23898 24493 34709 41988 47796 48986 69418 73479 97972 104127 138836 146958 208254 213439 242963 293916 416508 426878 485926 640317 728889 853756 971852 1280634 1457778 1494073 1990931 2561268 2915556 2988146 3981862 4482219 5972793 5976292 7963724 8964438 11945586 13936517 17928876 23891172 27873034 41809551 55746068 83619102 121446791 167238204 242893582 364340373 485787164 728680746 850127537 1457361492 1700255074 2550382611 3400510148 5100765222 10201530444