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2313213111104 = 26715799732987
BaseRepresentation
bin100001101010010110001…
…111101110101101000000
322012010210210120110122112
4201222112033232231000
5300344430024023404
64530401520554452
7326060402010260
oct41522617565500
98163723513575
102313213111104
11812034550015
12314396482a28
1313a19a95c8cc
147dd627937a0
154028a68756e
hex21a963eeb40

2313213111104 has 112 divisors (see below), whose sum is σ = 5284906668672. Its totient is φ = 984044685312.

The previous prime is 2313213111037. The next prime is 2313213111127. The reversal of 2313213111104 is 4011113123132.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 2313213111104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70108499 + ... + 70141485.

Almost surely, 22313213111104 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 2313213111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642453334336).

2313213111104 is an abundant number, since it is smaller than the sum of its proper divisors (2971693557568).

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

2313213111104 is a wasteful number, since it uses less digits than its factorization.

2313213111104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34160 (or 34150 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 2313213111104 its reverse (4011113123132), we get a palindrome (6324326234236).

The spelling of 2313213111104 in words is "two trillion, three hundred thirteen billion, two hundred thirteen million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 157 224 314 448 628 997 1099 1256 1994 2198 2512 3988 4396 5024 6979 7976 8792 10048 13958 15952 17584 27916 31904 32987 35168 55832 63808 65974 70336 111664 131948 156529 223328 230909 263896 313058 446656 461818 527792 626116 923636 1055584 1095703 1252232 1847272 2111168 2191406 2504464 3694544 4382812 5008928 5178959 7389088 8765624 10017856 10357918 14778176 17531248 20715836 32888039 35062496 36252713 41431672 65776078 70124992 72505426 82863344 131552156 145010852 165726688 230216273 263104312 290021704 331453376 460432546 526208624 580043408 920865092 1052417248 1160086816 1841730184 2104834496 2320173632 3683460368 5163422123 7366920736 10326844246 14733841472 20653688492 36143954861 41307376984 72287909722 82614753968 144575819444 165229507936 289151638888 330459015872 578303277776 1156606555552 2313213111104