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2314214331100 = 225272977483407
BaseRepresentation
bin100001101011010001111…
…011000101001011011100
322012020101120112201021121
4201223101323011023130
5300404002332043400
64531045124340324
7326124250152100
oct41532173051334
98166346481247
102314214331100
118124a8727461
123146158446a4
1313a2ca206189
148001973b900
15402e850a21a
hex21ad1ec52dc

2314214331100 has 108 divisors (see below), whose sum is σ = 5847729533856. Its totient is φ = 792631150080.

The previous prime is 2314214331031. The next prime is 2314214331137. The reversal of 2314214331100 is 11334124132.

2314214331100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4545597 + ... + 5029003.

It is an arithmetic number, because the mean of its divisors is an integer number (54145643832).

Almost surely, 22314214331100 is an apocalyptic number.

2314214331100 is a gapful number since it is divisible by the number (20) 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 2314214331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923864766928).

2314214331100 is an abundant number, since it is smaller than the sum of its proper divisors (3533515202756).

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

2314214331100 is a wasteful number, since it uses less digits than its factorization.

2314214331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484412 (or 484398 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 2314214331100 its reverse (11334124132), we get a palindrome (2325548455232).

The spelling of 2314214331100 in words is "two trillion, three hundred fourteen billion, two hundred fourteen million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 977 980 1225 1954 2450 3908 4885 4900 6839 9770 13678 19540 24425 27356 34195 47873 48850 68390 95746 97700 136780 170975 191492 239365 341950 478730 483407 683900 957460 966814 1196825 1933628 2393650 2417035 3383849 4787300 4834070 6767698 9668140 12085175 13535396 16919245 23686943 24170350 33838490 47373886 48340700 67676980 84596225 94747772 118434715 169192450 236869430 338384900 472288639 473738860 592173575 944577278 1184347150 1889154556 2361443195 2368694300 3306020473 4722886390 6612040946 9445772780 11807215975 13224081892 16530102365 23142143311 23614431950 33060204730 46284286622 47228863900 66120409460 82650511825 92568573244 115710716555 165301023650 231421433110 330602047300 462842866220 578553582775 1157107165550 2314214331100