Search a number
-
+
1011421513104 = 243197117478941
BaseRepresentation
bin11101011011111010110…
…10111000010110010000
310120200122201000101222220
432231331122320112100
5113032342401404404
62052350213101040
7133033653004032
oct16557532702620
93520581011886
101011421513104
1135aa3a092822
1214402b027780
13744b8627812
1436d4b2bbc52
151b4993184d9
hexeb7d6b8590

1011421513104 has 160 divisors (see below), whose sum is σ = 2791002792960. Its totient is φ = 314682278400.

The previous prime is 1011421513027. The next prime is 1011421513117. The reversal of 1011421513104 is 4013151241101.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 113117274 + ... + 113126214.

It is an arithmetic number, because the mean of its divisors is an integer number (17443767456).

Almost surely, 21011421513104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011421513104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395501396480).

1011421513104 is an abundant number, since it is smaller than the sum of its proper divisors (1779581279856).

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

1011421513104 is a wasteful number, since it uses less digits than its factorization.

1011421513104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10789 (or 10783 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 1011421513104 its reverse (4013151241101), we get a palindrome (5024572754205).

The spelling of 1011421513104 in words is "one trillion, eleven billion, four hundred twenty-one million, five hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 71 76 114 142 152 213 228 284 304 426 456 568 852 912 1136 1349 1704 1747 2698 3408 3494 4047 5241 5396 6988 8094 8941 10482 10792 13976 16188 17882 20964 21584 26823 27952 32376 33193 35764 41928 53646 64752 66386 71528 83856 99579 107292 124037 132772 143056 169879 199158 214584 248074 265544 339758 372111 398316 429168 496148 509637 531088 634811 679516 744222 796632 992296 1019274 1269622 1359032 1488444 1593264 1904433 1984592 2038548 2356703 2539244 2718064 2976888 3808866 4077096 4713406 5078488 5953776 7070109 7617732 8154192 9426812 10156976 12061409 14140218 15235464 15619927 18853624 24122818 28280436 30470928 31239854 36184227 37707248 46859781 48245636 56560872 62479708 72368454 93719562 96491272 113121744 124959416 144736908 187439124 192982544 249918832 289473816 296778613 374878248 578947632 593557226 749756496 890335839 1109014817 1187114452 1780671678 2218029634 2374228904 3327044451 3561343356 4436059268 4748457808 6654088902 7122686712 8872118536 13308177804 14245373424 17744237072 21071281523 26616355608 42142563046 53232711216 63213844569 84285126092 126427689138 168570252184 252855378276 337140504368 505710756552 1011421513104