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1322130096 = 243277916603
BaseRepresentation
bin100111011001110…
…0001101010110000
310102010211011112100
41032303201222300
510201431130341
6335105500400
744522630460
oct11663415260
93363734470
101322130096
11619342a01
1230a941700
13180bb5b01
14c7841ba0
157b1123b6
hex4ece1ab0

1322130096 has 120 divisors (see below), whose sum is σ = 4282503680. Its totient is φ = 372947328.

The previous prime is 1322130059. The next prime is 1322130101. The reversal of 1322130096 is 6900312231.

It is a super-3 number, since 3×13221300963 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71331 + ... + 87933.

Almost surely, 21322130096 is an apocalyptic number.

1322130096 is a gapful number since it is divisible by the number (16) 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 1322130096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141251840).

1322130096 is an abundant number, since it is smaller than the sum of its proper divisors (2960373584).

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

1322130096 is a wasteful number, since it uses less digits than its factorization.

1322130096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16703 (or 16694 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1322130096 is about 36361.1069138441. The cubic root of 1322130096 is about 1097.5510521894.

The spelling of 1322130096 in words is "one billion, three hundred twenty-two million, one hundred thirty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 79 84 112 126 144 158 168 237 252 316 336 474 504 553 632 711 948 1008 1106 1264 1422 1659 1896 2212 2844 3318 3792 4424 4977 5688 6636 8848 9954 11376 13272 16603 19908 26544 33206 39816 49809 66412 79632 99618 116221 132824 149427 199236 232442 265648 298854 348663 398472 464884 597708 697326 796944 929768 1045989 1195416 1311637 1394652 1859536 2091978 2390832 2623274 2789304 3934911 4183956 5246548 5578608 7869822 8367912 9181459 10493096 11804733 15739644 16735824 18362918 20986192 23609466 27544377 31479288 36725836 47218932 55088754 62958576 73451672 82633131 94437864 110177508 146903344 165266262 188875728 220355016 330532524 440710032 661065048 1322130096