Search a number
-
+
23311221313320 = 233457194821393
BaseRepresentation
bin1010100110011100100010…
…00100001100111100101000
310001112112100002112120220000
411103032101010030330220
511023412340124011240
6121325005514303000
74624115536550463
oct523162104147450
9101475302476800
1023311221313320
117478262788876
122745a54a27a60
1310013146772b5
145a83aa6d62da
152a65a1e92430
hex15339110cf28

23311221313320 has 80 divisors (see below), whose sum is σ = 78351604980660. Its totient is φ = 6216325682688.

The previous prime is 23311221313301. The next prime is 23311221313343. The reversal of 23311221313320 is 2331312211332.

23311221313320 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 1 + 2 + 21 + 313 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23311109672964 + 111640356 = 4828158^2 + 10566^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3597407457 + ... + 3597413936.

Almost surely, 223311221313320 is an apocalyptic number.

23311221313320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23311221313320 is an abundant number, since it is smaller than the sum of its proper divisors (55040383667340).

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

23311221313320 is a wasteful number, since it uses less digits than its factorization.

23311221313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7194821416 (or 7194821403 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 23311221313320 its reverse (2331312211332), we get a palindrome (25642533524652).

The spelling of 23311221313320 in words is "twenty-three trillion, three hundred eleven billion, two hundred twenty-one million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 7194821393 14389642786 21584464179 28779285572 35974106965 43168928358 57558571144 64753392537 71948213930 86337856716 107922320895 129506785074 143896427860 172675713432 194260177611 215844641790 259013570148 287792855720 323766962685 388520355222 431689283580 518027140296 582780532833 647533925370 777040710444 863378567160 971300888055 1165561065666 1295067850740 1554081420888 1942601776110 2331122131332 2590135701480 2913902664165 3885203552220 4662244262664 5827805328330 7770407104440 11655610656660 23311221313320