Search a number
-
+
12001010994 = 23275915110691
BaseRepresentation
bin10110010110101000…
…01110010100110010
31010222101000112011200
423023110032110302
5144034224322434
65302503152030
7603252624150
oct131324162462
933871015150
1012001010994
1150a9292205
1223ab145616
131193429a4b
1481bc023d0
154a38c0199
hex2cb50e532

12001010994 has 96 divisors (see below), whose sum is σ = 30423444480. Its totient is φ = 3348108000.

The previous prime is 12001010969. The next prime is 12001011017. The reversal of 12001010994 is 49901010021.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1117189 + ... + 1127879.

It is an arithmetic number, because the mean of its divisors is an integer number (316910880).

Almost surely, 212001010994 is an apocalyptic number.

12001010994 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001010994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15211722240).

12001010994 is an abundant number, since it is smaller than the sum of its proper divisors (18422433486).

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

12001010994 is a wasteful number, since it uses less digits than its factorization.

12001010994 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10916 (or 10913 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 12001010994 in words is "twelve billion, one million, ten thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 118 126 151 177 302 354 413 453 531 826 906 1057 1062 1239 1359 2114 2478 2718 3171 3717 6342 7434 8909 9513 10691 17818 19026 21382 26727 32073 53454 62363 64146 74837 80181 96219 124726 149674 160362 187089 192438 224511 374178 449022 561267 630769 673533 1122534 1261538 1347066 1614341 1892307 3228682 3784614 4415383 4843023 5676921 8830766 9686046 11300387 11353842 13246149 14529069 22600774 26492298 29058138 33901161 39738447 67802322 79476894 95246119 101703483 190492238 203406966 285738357 571476714 666722833 857215071 1333445666 1714430142 2000168499 4000336998 6000505497 12001010994